%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.18", %%% date = "17 November 2023", %%% time = "13:01:22 MST", %%% filename = "householder-alston-s.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "12808 14773 60293 648338", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Alston Scott Householder; bibliography; %%% BibTeX; Householder matrix; Householder %%% reflection; Householder transformation; %%% mathematical biology; numerical analysis", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% the influential American mathematical %%% biologist and numerical analyst Alston Scott %%% Householder (5 May 1904--4 July 1993). %%% %%% This bibliography is divided into three %%% parts: %%% %%% Part 1: Works by Alston Householder %%% Part 2: Works about Alston Householder %%% Part 3: Gatlinburg/Householder Symposia papers %%% %%% A final section records cross-referenced %%% works. %%% %%% At version 1.18, the year coverage looked %%% like this: %%% %%% 1926 ( 1) 1959 ( 6) 1992 ( 9) %%% 1927 ( 0) 1960 ( 6) 1993 ( 7) %%% 1928 ( 0) 1961 ( 3) 1994 ( 5) %%% 1929 ( 0) 1962 ( 3) 1995 ( 3) %%% 1930 ( 0) 1963 ( 8) 1996 ( 6) %%% 1931 ( 0) 1964 ( 5) 1997 ( 9) %%% 1932 ( 0) 1965 ( 4) 1998 ( 8) %%% 1933 ( 0) 1966 ( 8) 1999 ( 8) %%% 1934 ( 3) 1967 ( 5) 2000 ( 7) %%% 1935 ( 5) 1968 ( 9) 2001 ( 3) %%% 1936 ( 1) 1969 ( 8) 2002 ( 3) %%% 1937 ( 6) 1970 ( 12) 2003 ( 4) %%% 1938 ( 4) 1971 ( 11) 2004 ( 4) %%% 1939 ( 4) 1972 ( 8) 2005 ( 6) %%% 1940 ( 9) 1973 ( 5) 2006 ( 13) %%% 1941 ( 8) 1974 ( 8) 2007 ( 10) %%% 1942 ( 6) 1975 ( 8) 2008 ( 13) %%% 1943 ( 5) 1976 ( 5) 2009 ( 10) %%% 1944 ( 4) 1977 ( 3) 2010 ( 11) %%% 1945 ( 2) 1978 ( 3) 2011 ( 6) %%% 1946 ( 4) 1979 ( 4) 2012 ( 12) %%% 1947 ( 4) 1980 ( 3) 2013 ( 11) %%% 1948 ( 0) 1981 ( 2) 2014 ( 6) %%% 1949 ( 3) 1982 ( 1) 2015 ( 10) %%% 1950 ( 4) 1983 ( 5) 2016 ( 11) %%% 1951 ( 6) 1984 ( 3) 2017 ( 7) %%% 1952 ( 2) 1985 ( 3) 2018 ( 11) %%% 1953 ( 4) 1986 ( 5) 2019 ( 0) %%% 1954 ( 9) 1987 ( 10) 2020 ( 0) %%% 1955 ( 10) 1988 ( 10) 2021 ( 1) %%% 1956 ( 14) 1989 ( 7) 2022 ( 0) %%% 1957 ( 4) 1990 ( 13) 2023 ( 3) %%% 1958 ( 6) 1991 ( 6) %%% %%% Article: 366 %%% Book: 18 %%% InCollection: 20 %%% InProceedings: 74 %%% MastersThesis: 1 %%% Misc: 5 %%% PhdThesis: 3 %%% Proceedings: 11 %%% TechReport: 47 %%% %%% Total entries: 545 %%% %%% It has not yet been possible to locate a %%% personally-maintained curriculum vitae for %%% Alston Householder, but extensive Web %%% searching suggests that most of his %%% publications have been found and recorded at %%% version 1.00 of this bibliography. %%% %%% Alston Householder was born in Rockford, IL, %%% USA in 1904. He received a Bachelor of Arts %%% in Philosophy from Northwestern University in %%% Evanston, IL, USA in 1925, and a Master of %%% Arts in Philosophy from Cornell University, %%% Ithaca, NY in 1926. He originally intended %%% to become a Methodist minister, and %%% accordingly, chose philosophy as his field of %%% study. However, he also took mathematics %%% courses, and in graduate school, changed his %%% career plans to mathematics teaching. From %%% 1930 to 1937, he taught at Washburn College %%% in Topeka, KS, (renamed Washburn University %%% in 1952), with leave in Fall 1935 to work at %%% the University of Chicago. He receiving a %%% doctoral degree in mathematics from that %%% institution in 1937. He worked at the %%% University of Chicago until 1944, when he %%% moved to the Naval Research Laboratory in %%% Washington, DC, to work on problems of %%% wartime interest. Among them was his writing %%% of a manual on gyroscopic gun sights %%% (mentioned by him in entry Mertz:1970:IAS), %%% but Web searches have not yet located that %%% publication. %%% %%% His early research was primarily in %%% mathematical biology. His last publication %%% in that field was in 1949. %%% %%% In 1946, Alston Householder took a position %%% in the Mathematics Division at Oak Ridge %%% National Laboratory in Tennessee, and became %%% Chair of that division in 1948. He had %%% interviewed also for a position at Los %%% Alamos, NM, but chose Oak Ridge to be less %%% isolated. %%% %%% Alston Householder was the seventh Earle %%% Raymond Hedrick Lecturer, in 1958, and won %%% the Computer Society's Harry M. Goode %%% Memorial Award medal in 1969. He also served %%% as President of the ACM (1955--1956), and %%% President of SIAM (1963--1964). He is listed %%% by the ACM as a Computer Pioneer Charter %%% Recipient: %%% %%% https://en.wikipedia.org/wiki/Computer_Pioneer_Award %%% %%% In 1969, he moved to the University of %%% Tennessee, Knoxville, TN, as Professor of %%% Mathematics, and eventually became Department %%% Chair there. He retired in 1974 and moved to %%% Malibu, CA, where he lived for 19 more years %%% until his death in 1993. %%% %%% See entry Stewart:1993:ASH for a short %%% obituary documenting Householder's impact in %%% mathematical biology and numerical analysis, %%% as well as F. L. Bauer's memories in entry %%% Moler:1996:BRH. Bauer's wife's sister, Heide %%% Vogg, became Householder's second wife in %%% 1984 (his first wife, Belle, had died in %%% 1975). Entry Mertz:1970:IAS contains a %%% transcript of an interview with Alston %%% Householder, which may be the most that he %%% told of his life in print. %%% %%% In 1961, Alston Householder founded the %%% Gatlinburg conferences on numerical analysis, %%% and meetings were held roughly every two or %%% three years. They were invitation-only %%% gatherings, with no formal proceedings to be %%% published. In the 1970s, after his %%% retirement, the meetings were renamed the %%% Householder Symposia. Here is a summary of %%% the dates and locations of those influential %%% meetings, as given in entry Moler:2013:CCG %%% (with additional data for post-2014 years): %%% %%% ======================================= %%% The Gatlinburg and Householder Symposia %%% 1961--2014 %%% ======================================= %%% I 1961 Gatlinburg, TN, USA %%% II 1963 Gatlinburg, TN, USA %%% III 1964 Gatlinburg, TN, USA %%% IV 1969 Gatlinburg, TN, USA %%% V 1972 Los Alamos, NM, USA %%% VI 1974 Hopfen am See, Germany %%% VII 1977 Asilomar, CA, USA %%% VIII 1981 Oxford, England %%% IX 1984 Waterloo, ON, Canada %%% X 1987 Fairfield Glade, TN, USA %%% XI 1990 Tylosand, Sweden %%% XII 1993 Lake Arrowhead, CA, USA %%% XIII 1996 Pontresina, Switzerland %%% XIV 1999 Whistler, BC, Canada %%% XV 2002 Peebles, Scotland %%% XVI 2005 Seven Springs, PA, USA %%% XVII 2008 Zeuthen, Germany %%% XVIII 2011 Lake Tahoe, CA, USA %%% XIX 2014 Spa, Belgium %%% XX 2017 Blacksburg, VA, USA %%% XXI 2020 Selva di Fasano, Italy %%% ======================================= %%% %%% BibTeX entries are provided in Part 3 of this %%% bibliography for papers related to the two %%% symposia, where publication information could %%% be found. %%% %%% The Alston S. Householder Award for the best %%% thesis in numerical algebra was established %%% in 1969 at the Fourth Gatlinburg Symposium on %%% the occasion of Householder's retirement as %%% Director of the Mathematics Division of Oak %%% Ridge National Laboratory. It is %%% administered by SIAM. %%% %%% Online resources about A. S. Householder %%% include %%% %%% http://archive.is/20130115033809/http://sites.uclouvain.be/HHXIX/AlstonHouseholder/ %%% http://en.wikipedia.org/wiki/Alston_Scott_Householder %%% http://history.siam.org/householder.htm %%% http://personal.strath.ac.uk/a.ramage/householder/stewart.html %%% http://sites.google.com/a/lbl.gov/hh11/householderaward %%% http://tudosnaptar.kfki.hu/historia/webdok.php?namenev=householder %%% http://www-history.mcs.st-andrews.ac.uk/Biographies/Householder.html %%% http://www-history.mcs.st-andrews.ac.uk/Honours/Hedrick_lecturers.html %%% http://www.aprender-mat.info/ingles/historyDetail.htm?id=Householder %%% http://www.genealogy.math.ndsu.nodak.edu/id.php?id=6341 %%% http://www.geometry.net/detail/scientists/householder_alston.html %%% http://www.hessenberg.de/karl1.html %%% http://www.librarything.com/author/householderalstonsco %%% http://www.rand.org/pubs/authors/h/householder_alston_scott.html %%% %%% Data for this bibliography have been %%% collected from the University of Utah %%% Mathematics Department bibliography archives, %%% the TeX User Group bibliography archives, the %%% Karlsruhe Computer Science bibliography %%% archives, from the European Mathematical %%% Society Zentralblatt fuer Mathematik %%% database, and from the American Mathematical %%% Society MathSciNet database. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

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%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} @String{ack-njh= "Nick Higham, e-mail: \path|higham@vtx.ma.man.ac.uk|"} @String{ack-rah= "Roger A. Horn, University of Utah, Department of Mathematics, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 585 6819, FAX: +1 801 581 4148, e-mail: \path|rhorn@math.utah.edu| (Internet)"}

%%% ==================================================================== %%% Institution abbreviations:

@String{inst-ANL= "Argonne National Laboratory"} @String{inst-ANL:adr= "9700 South Cass Avenue, Argonne, IL 60439-4801, USA"} @String{inst-MATHWORKS= "The MathWorks, Inc."} @String{inst-MATHWORKS:adr= "3 Apple Hill Drive, Natick, MA 01760-2098, USA"} @String{inst-MCCM= "Manchester Centre for Computational Mathematics"} @String{inst-MCCM:adr= "Manchester, England"} @String{inst-ORNL= "Oak Ridge National Laboratory"} @String{inst-ORNL:adr= "Oak Ridge, TN, USA"} @String{inst-UCB-EECS= "Department of Electrical Engineering and Computer Science, University of California, Berkeley"} @String{inst-UCB-EECS:adr= "Berkeley, CA, USA"} @String{inst-UIUC-CSRD= "University of Illinois at Urbana-Champaign, Center for Supercomputing Research and Development"} @String{inst-UIUC-CSRD:adr= "Urbana, IL 61801, USA"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACM= "Journal of the ACM"} @String{j-ACTA-BIOTHEOR= "Acta Biotheoretica"} @String{j-ADV-COMPUT-MATH= "Advances in Computational Mathematics"} @String{j-AMER-J-PSYCHOLOGY= "American Journal of Psychology"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-ANN-HIST-COMPUT= "Annals of the History of Computing"} @String{j-APPL-INTELL= "Applied Intelligence"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-MATH-LETT= "Applied Mathematics Letters"} @String{j-APPL-MATH-SCI-RUSE= "Applied Mathematical Sciences (Ruse)"} @String{j-AXIOMS-BASEL= "Axioms (Basel)"} @String{j-BIOMETRICS= "Biometrics"} @String{j-BIT= "BIT"} @String{j-BIT-NUM-MATH= "BIT Numerical Mathematics"} @String{j-BULL-AMS= "Bulletin of the American Mathematical Society"} @String{j-BULL-GEODESIQUE= "Bulletin G{\'e}od{\'e}sique (Toulouse)"} @String{j-BULL-MATH-BIOL= "Bulletin of Mathematical Biology"} @String{j-BULL-MATH-BIOPHYS= "Bulletin of Mathematical Biophysics"} @String{j-CACM= "Communications of the ACM"} @String{j-COMMUN-MATH-STAT= "Communications in Mathematics and Statistics"} @String{j-COMMUN-STAT-THEORY-METH= "Communications in Statistics: Theory and Methods"} @String{j-COMP-J= "The Computer Journal"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMP-SURV= "ACM Computing Surveys"} @String{j-COMPUT-AIDED-DES= "Computer-Aided Design"} @String{j-COMPUTING= "Computing"} @String{j-ECONOMETRICA= "Econometrica"} @String{j-ELECT-LETTERS= "Electronics Letters"} @String{j-ELECTRON-TRANS-NUMER-ANAL= "Electronic Transactions on Numerical Analysis (ETNA)"} @String{j-EUR-PHYS-J-PLUS= "The European Physical Journal Plus"} @String{j-FUT-GEN-COMP-SYS= "Future Generation Computer Systems"} @String{j-IEEE-ANN-HIST-COMPUT= "IEEE Annals of the History of Computing"} @String{j-IEEE-ASSP-MAG= "IEEE ASSP magazine: a publication of the IEEE Acoustics, Speech, and Signal Processing Society"} @String{j-IEEE-COMMUN-LET= "IEEE Communications Letters"} @String{j-IEEE-TRANS-ACOUST-SPEECH= "IEEE Trans. Acoustics, Speech, and Signal Processing"} @String{j-IEEE-TRANS-AEROSP-ELECTRON-SYST= "IEEE Transactions on Aerospace and Electronic Systems"} @String{j-IEEE-TRANS-COMPUT= "IEEE Transactions on Computers"} @String{j-IEEE-TRANS-GEOSCI-REMOTE-SENSING= "IEEE Transactions on Geoscience and Remote Sensing"} @String{j-IEEE-TRANS-IMAGE-PROCESS= "IEEE Transactions on Image Processing"} @String{j-IEEE-TRANS-PAR-DIST-SYS= "IEEE Transactions on Parallel and Distributed Systems"} @String{j-IEEE-TRANS-SIG-PROC= "IEEE Transactions on Signal Processing"} @String{j-IEICE-TRANS-COMMUN= "IEICE Transactions on Communications"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-INT-J-APPL-MATH= "International Journal of Applied Mathematics"} @String{j-INT-J-COMPUT-MATH= "International Journal of Computer Mathematics"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-ISIS= "Isis"} @String{j-J-ACM= "Journal of the ACM"} @String{j-J-ACOUST-SOC-AM= "Journal of the Acoustical Society of America"} @String{j-J-AM-STAT-ASSOC= "Journal of the American Statistical Association"} @String{j-J-APPL-MECH= "Journal of Applied Mechanics"} @String{j-J-APPL-PHYS= "Journal of Applied Physics"} @String{j-J-CHEM-INFO-COMP-SCI= "Journal of Chemical Information and Computer Sciences"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-INST-MATH-APPL= "Journal of the Institute of Mathematics and its Applications"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-NUMER-METHODS-COMPUT-APPL= "Journal on Numerical Methods and Computer Applications"} @String{j-J-PAR-DIST-COMP= "Journal of Parallel and Distributed Computing"} @String{j-J-PHYS-B-AT-MOL-OPT-PHYS= "Journal of Physics B: Atomic, Molecular and Optical Physics"} @String{j-J-R-STAT-SOC-SER-A-GENERAL= "Journal of the Royal Statistical Society. Series A (General)"} @String{j-J-SIAM= "Journal of the Society for Industrial and Applied Mathematics"} @String{j-J-SYMBOLIC-LOGIC= "Journal of Symbolic Logic"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-LIN-AND-MULT-ALGEBRA= "Linear and Multilinear Algebra"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-GAZ= "Mathematical Gazette"} @String{j-MATH-TEACH= "The Mathematics Teacher"} @String{j-MINERALS-BASEL= "Minerals (Basel)"} @String{j-MONAT-MATH= "Monatshefte f{\"u}r Mathematik"} @String{j-NUM-LIN-ALG-APPL= "Numerical Linear Algebra with Applications"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-PARALLEL-ALGORITHMS-APPL= "Parallel Algorithms and Applications"} @String{j-PARALLEL-COMPUTING= "Parallel Computing"} @String{j-PHYS-MED-BIOL= "Physics in Medicine and Biology"} @String{j-PHYS-REV-A= "Physical Review A (Atomic, Molecular, and Optical Physics)"} @String{j-PROC-AM-MATH-SOC= "Proceedings of the American Mathematical Society"} @String{j-PROC-INST-STATIST-MATH= "Proceedings of the Institute of Statistical Mathematics"} @String{j-PROC-JAPAN-ACAD-SER-A-MATH-SCI= "Proceedings of the Japan Academy of Sciences. Series A. Mathematical Sciences"} @String{j-PSYCHOL-REV= "Psychological Review"} @String{j-PSYCHOMETRIKA= "Psychometrika"} @String{j-Q-REV-BIOL= "Quarterly Review of Biology"} @String{j-RELIABLE-COMPUTING= "Reliable Computing = Nadezhnye vychisleniia"} @String{j-SCIENCE= "Science"} @String{j-SENSORS-BASEL= "Sensors (Basel)"} @String{j-SIAM-J-APPL-MATH= "SIAM Journal on Applied Mathematics"} @String{j-SIAM-J-MAT-ANA-APPL= "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM Journal on Scientific and Statistical Computing"} @String{j-SIAM-NEWS= "SIAM News"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIGNUM= "ACM SIGNUM Newsletter"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-UTIL-MATH= "Utilitas Mathematica"} @String{j-Z-ANGE-MATH-PHYS= "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik = Journal of Applied Mathematics and Physics}"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-A-W-LONGMAN= "Addison Wesley Longman"} @String{pub-A-W-LONGMAN:adr= "Harlow, Essex, UK"} @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AIP= "American Institute of Physics"} @String{pub-AIP:adr= "Woodbury, NY, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-BLAISDELL= "Blaisdell Pub. Co."} @String{pub-BLAISDELL:adr= "Waltham, MA, USA"} @String{pub-DOVER= "Dover"} @String{pub-DOVER:adr= "New York, NY, USA"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-LONGMAN= "Longman Scientific and Technical"} @String{pub-LONGMAN:adr= "Harlow, Essex, UK"} @String{pub-MATH-ASSOC-AMER= "Mathematical Association of America"} @String{pub-MATH-ASSOC-AMER:adr= "Washington, DC, USA"} @String{pub-MCGRAW-HILL= "McGraw-Hill"} @String{pub-MCGRAW-HILL:adr= "New York"} @String{pub-NORTH-HOLLAND= "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-SIAM= "SIAM Press"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TATA-MCGRAW-HILL= "Tata McGraw-Hill"} @String{pub-TATA-MCGRAW-HILL:adr= "New Delhi, India"} @String{pub-U-CHICAGO= "University of Chicago Press"} @String{pub-U-CHICAGO:adr= "Chicago, IL, USA"} @String{pub-USGPO= "United States Government Printing Office"} @String{pub-USGPO:adr= "Washington, DC, USA"} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WILEY-INTERSCIENCE= "Wiley-In{\-}ter{\-}sci{\-}ence"} @String{pub-WILEY-INTERSCIENCE:adr= "New York, NY, USA"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-APPL-MATH-SER-NBS= "Applied Mathematics Series / National Bureau of Standards"} @String{ser-LNCS= "Lecture Notes in Computer Science"}

%%% ==================================================================== %%% Part 1 (of 3) --- Alston S. Householder and his works %%% %%% Bibliography entries, sorted by ascending year and then by citation %%% label:

@MastersThesis{Householder:1926:DWT, author = "Alston Scott Householder", title = "{Dr. A. N. Whitehead}'s theory of space and time", type = "Thesis (A.M.)", school = "Cornell University", address = "Ithaca, NY, USA", pages = "81 (est.)", year = "1926", bibdate = "Sat Dec 22 10:44:23 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://newcatalog.library.cornell.edu/catalog/5714251", acknowledgement = ack-nhfb, subject = "Whitehead, Alfred North, 1861--1947; Philosophy and science", } @Article{Charosh:1934:PSA, author = "Mannis Charosh and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3628", journal = j-AMER-MATH-MONTHLY, volume = "41", number = "8", pages = "522--523", month = oct, year = "1934", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2300434", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523199", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Court:1933:PSAa}.", } @Article{Court:1934:PSA, author = "N. A. Court and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3639", journal = j-AMER-MATH-MONTHLY, volume = "41", number = "10", pages = "636--637", month = dec, year = "1934", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301925", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523255", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Court:1933:PSAb}.", } @Article{Dunkel:1934:PSA, author = "Otto Dunkel and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3622", journal = j-AMER-MATH-MONTHLY, volume = "41", number = "6", pages = "400--401", month = jun # "\slash " # jul, year = "1934", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301575", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523140", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Reynolds:1933:PSAc}.", } @Article{Dunkel:1935:PSA, author = "Otto Dunkel and A. S. Householder", title = "Problems and Solutions: Advanced Problems: Solutions: 3664", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "5", pages = "331--334", year = "1935", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302245", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523391", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Dunkel:1935:PSS, author = "Otto Dunkel and A. S. Householder", title = "Problems and Solutions: Solutions: 3664", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "5", pages = "331--334", month = may, year = "1935", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:47 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", xxnote = "See also \cite{Campbell:1934:PSA}.", } @Article{Householder:1935:RPR, author = "A. S. Householder", title = "Recent Publications: Reviews: {{\em Actualit{\'e}s Scientifiques et Industrielles. No. 72, Les Espaces M{\'e}triques Fond{\'e}s sur la Notion d'Aire. No. 79, Les Espaces de Finsler. No. 194, La Methode du Rep{\`e}re Mobile, la Th{\'e}orie des Groupes Continus, et les Espaces G{\'e}n{\'e}ralis{\'e}s}}, by {E. Cartan}", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "9", pages = "562--563", month = nov, year = "1935", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301940", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523495", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Part 1.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Rosenbaum:1935:PSA, author = "J. Rosenbaum and J. W. Clawson and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3644", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "1", pages = "51--53", month = jan, year = "1935", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2300609", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523277", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Court:1933:PSAb}.", } @Article{Schuyler:1935:PSA, author = "Elmer Schuyler and Hansraj Gupta and L. Green and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3681", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "10", pages = "627--629", month = dec, year = "1935", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2300899", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523540", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Feld:1934:PSA}.", } @Article{Householder:1936:DFP, author = "A. S. Householder", title = "The dependence of a focal point upon curvature in the calculus of variations", journal = j-BULL-AMS, volume = "42", number = "??", pages = "818--819", month = "????", year = "1936", CODEN = "BAMOAD", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "62.0585.17", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @PhdThesis{Householder:1937:DFPa, author = "Alston S. Householder", title = "The Dependence of a Focal Point Upon Curvature in the Calculus of Variations", type = "Thesis ({Ph.D.})", school = "Department of Mathematics, The University of Chicago", address = "Chicago, IL, USA", pages = "ii + 39", month = jun, year = "1937", MRnumber = "2611329", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://pi.lib.uchicago.edu/1001/cat/bib/4169262; https://search.proquest.com/docview/301787926", ZMnumber = "0018.13803", acknowledgement = ack-nhfb, advisor = "Gilbert Ames Bliss", } @InCollection{Householder:1937:DFPb, author = "Alston S. Householder", booktitle = "Contributions to the Calculus of Variations, {Chicago}, 1933--1937", title = "The Dependence of a Focal Point Upon Curvature in the Calculus of Variations", publisher = pub-U-CHICAGO, address = pub-U-CHICAGO:adr, bookpages = "vii + 565", pages = "485--526", year = "1937", bibdate = "Thu Dec 20 07:58:52 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "63.0478.03", acknowledgement = ack-nhfb, remark = "Year uncertain, because the collection covers 5 years, and Householder's doctoral thesis of the same title was published in 1937.", } @Article{Householder:1937:EE, author = "A. S. Householder", title = "An etymological excursion", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "??", pages = "463--464", month = "????", year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "63.0002.02", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1937:QDN, author = "A. S. Householder", title = "Questions, Discussions, and Notes: An Etymological Excursion", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "7", pages = "463--464", month = aug # "\slash " # sep, year = "1937", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301136", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524031", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1937:SAR, author = "A. S. Householder and E. Amelotti", title = "Some aspects of {Rashevsky}'s theorem of delayed reflexes", journal = j-PSYCHOMETRIKA, volume = "2", number = "4", pages = "255--262", month = dec, year = "1937", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02287897", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "63.1028.01", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Rosenbaum:1937:PSA, author = "J. Rosenbaum and A. S. Householder", title = "Problems and Solutions: Advanced Problems: 3729", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "1", pages = "57--58", month = jan, year = "1937", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301348", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523842", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Charosh:1935:PSAa}.", } @Article{Householder:1938:CC, author = "A. S. Householder", title = "Conditioning circuits", journal = j-PSYCHOMETRIKA, volume = "3", number = "4", pages = "273--289", month = dec, year = "1938", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02287933", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "64.1149.04", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1938:ECN, author = "A. S. Householder", title = "Excitation of a chain of neurones", journal = j-PSYCHOMETRIKA, volume = "3", number = "2", pages = "69--73", month = jun, year = "1938", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02289302", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 11:50:42 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1938:MAL, author = "A. S. Householder and Gale Young", title = "Matrix Approximation and Latent Roots", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "3", pages = "165--171", month = mar, year = "1938", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302980", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524223", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "64.0046.03; 0019.14701", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Young:1938:DSP, author = "Gale Young and A. S. Householder", title = "Discussion of a set of points in terms of their mutual distances", journal = j-PSYCHOMETRIKA, volume = "3", number = "1", pages = "19--22", month = mar, year = "1938", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02287916", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "64.1302.04", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1939:CRT, author = "A. S. Householder", title = "Concerning {Rashevsky}'s theory of the ``{Gestalt}''", journal = j-BULL-MATH-BIOPHYS, volume = "1", number = "1", pages = "63--73", month = mar, year = "1939", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478013", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:22 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478013", ZMnumber = "0020.30402", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1939:NMD, author = "A. S. Householder", title = "A neural mechanism for discrimination", journal = j-PSYCHOMETRIKA, volume = "4", number = "1", pages = "45--58", month = mar, year = "1939", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02287992", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "65.0612.03", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1939:SMT, author = "A. S. Householder", title = "Studies in the mathematical theory of excitation", journal = j-BULL-MATH-BIOPHYS, volume = "1", number = "3", pages = "129--141", month = sep, year = "1939", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478181", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:24 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478181", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Landahl:1939:NCS, author = "H. D. Landahl and A. S. Householder", title = "Neuron circuits: The self-exciting neuron", journal = j-PSYCHOMETRIKA, volume = "4", number = "4", pages = "255--276", month = dec, year = "1939", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02287938", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "65.0612.04", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1940:BRE, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Elementary Theory of Equations}} by William Vernon Lovitt}", journal = "National Mathematics Magazine", volume = "15", number = "3", pages = "157--158", year = "1940", ISSN = "1539-5588 (print), 2326-6708 (electronic)", ISSN-L = "1539-5588", MRclass = "DML", MRnumber = "1569865", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/3028699?origin=pubexport", acknowledgement = ack-nhfb, ajournal = "Natl. Math. Mag.", fjournal = "National Mathematics Magazine", } @Article{Householder:1940:BRI, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Introduction to the Calculus}} by Arnold Dresden}", journal = "National Mathematics Magazine", volume = "15", number = "1", pages = "49--50", year = "1940", ISSN = "1539-5588 (print), 2326-6708 (electronic)", ISSN-L = "1539-5588", MRclass = "DML", MRnumber = "1569837", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/3028407?origin=pubexport", acknowledgement = ack-nhfb, ajournal = "Natl. Math. Mag.", fjournal = "National Mathematics Magazine", } @Article{Householder:1940:NH, author = "Alston S. Householder", title = "A note on the horopter", journal = j-BULL-MATH-BIOPHYS, volume = "2", number = "3", pages = "135--140", month = sep, year = "1940", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478178", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:26 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478178", ZMnumber = "66.0946.03", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1940:NMDa, author = "A. S. Householder", title = "A neural mechanism for discrimination: {II}. {Discrimination} of weights", journal = j-BULL-MATH-BIOPHYS, volume = "2", number = "1", pages = "1--13", month = mar, year = "1940", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478027", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:25 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478027", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1940:NMDb, author = "Alston S. Householder", title = "A neural mechanism for discrimination {III}: Visually perceived lengths and distances", journal = j-BULL-MATH-BIOPHYS, volume = "2", number = "4", pages = "157--167", month = dec, year = "1940", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478267", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:27 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478267", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1940:RPD, author = "A. S. Householder", title = "Recent Publications: {{\em A Detailed Proof of the Chi-Square Test of Goodness of Fit}}, by {E. R. Greenhood, Jr.}", journal = j-AMER-MATH-MONTHLY, volume = "47", number = "9", pages = "648--649", month = nov, year = "1940", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:02 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Householder:1940:RPR, author = "A. S. Householder", title = "Recent Publications: Reviews: A Detailed Proof of the Chi-Square Test of Goodness of Fit", journal = j-AMER-MATH-MONTHLY, volume = "47", number = "9", pages = "648--649", year = "1940", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2304122", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524982", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1940:WLW, author = "Alston S. Householder and Gale Young", title = "{Weber} laws, the {Weber} law, and psychophysical analysis", journal = j-PSYCHOMETRIKA, volume = "5", number = "3", pages = "183--193", month = sep, year = "1940", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02288564", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 12:07:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Young:1940:FIS, author = "Gale Young and A. S. Householder", title = "Factorial invariance and significance", journal = j-PSYCHOMETRIKA, volume = "5", number = "1", pages = "47--56", month = mar, year = "1940", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/BF02288560", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", MRclass = "62.0X", MRnumber = "0002755", MRreviewer = "A. A. Bennett", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika. A Journal Devoted to the Development of Psychology as a Quantitative Rational Science", } @Article{Householder:1941:BRA, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Advances and Applications of Mathematical Biology}} by Rashevsky, Nicolas}", journal = "National Mathematics Magazine", volume = "15", number = "7", pages = "384--386", year = "1941", ISSN = "1539-5588 (print), 2326-6708 (electronic)", ISSN-L = "1539-5588", MRclass = "DML", MRnumber = "1569918", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/3028032?origin=pubexport", acknowledgement = ack-nhfb, ajournal = "Natl. Math. Mag.", fjournal = "National Mathematics Magazine", } @Article{Householder:1941:MBC, author = "Alston S. Householder", title = "Mathematical biophysics of cellular forms and movements", journal = j-BULL-MATH-BIOPHYS, volume = "3", number = "1", pages = "27--38", month = mar, year = "1941", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478104", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:28 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478104", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1941:TSSa, author = "Alston S. Householder", title = "A theory of steady-state activity in nerve-fiber networks: {I}. {Definitions} and preliminary lemmas", journal = j-BULL-MATH-BIOPHYS, volume = "3", number = "2", pages = "63--69", month = jun, year = "1941", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478220", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:28 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478220", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1941:TSSb, author = "Alston S. Householder", title = "A theory of steady-state activity in nerve-fiber networks {II}: The simple circuit", journal = j-BULL-MATH-BIOPHYS, volume = "3", number = "3", pages = "105--112", month = sep, year = "1941", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478168", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:29 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478168", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1941:TSSc, author = "Alston S. Householder", title = "A theory of steady-state activity in nerve-fiber networks {III}: The simple circuit in complete activity", journal = j-BULL-MATH-BIOPHYS, volume = "3", number = "4", pages = "137--140", month = dec, year = "1941", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02477933", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:29 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02477933", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Rashevsky:1941:MII, author = "N. Rashevsky and Alston S. Householder", title = "On the mutual influence of individuals in a social group", journal = j-PSYCHOMETRIKA, volume = "6", number = "5", pages = "317--321", month = oct, year = "1941", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02288587", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 12:10:15 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Weinberg:1941:SDI, author = "A. M. Weinberg and A. S. Householder", title = "Statistical distribution of impedance elements in biological systems", journal = j-BULL-MATH-BIOPHYS, volume = "3", number = "4", pages = "129--135", month = dec, year = "1941", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02477932", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:29 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02477932", ZMnumber = "67.1061.04", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Young:1941:NMP, author = "Gale Young and A. S. Householder", title = "A note on multidimensional psychophysical analysis", journal = j-PSYCHOMETRIKA, volume = "6", number = "5", pages = "331--333", month = oct, year = "1941", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02288589", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 11:54:41 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1942:BRC, author = "A. S. Householder", title = "Book Review: {{\booktitle{Calculus}} by Alfred L. Nelson; Karl W. Folley; William M. Borgman}", journal = "National Mathematics Magazine", volume = "17", number = "1", pages = "45--45", year = "1942", ISSN = "1539-5588 (print), 2326-6708 (electronic)", ISSN-L = "1539-5588", MRclass = "DML", MRnumber = "1570054", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/3028983?origin=pubexport", acknowledgement = ack-nhfb, ajournal = "Natl. Math. Mag.", fjournal = "National Mathematics Magazine", } @Article{Householder:1942:CFT, author = "Alston S. Householder", title = "Cellular forms: The tri-axial cell. {I}", journal = j-BULL-MATH-BIOPHYS, volume = "4", number = "4", pages = "159--168", month = dec, year = "1942", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478111", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", MRclass = "92.0X", MRnumber = "0007845", MRreviewer = "I. Opatowski", bibdate = "Wed Jun 28 16:12:32 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478111", ZMnumber = "0063.02078", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1942:DNA, author = "A. S. Householder", title = "Discussions and Notes: The Addition Formulas in Trigonometry", journal = j-AMER-MATH-MONTHLY, volume = "49", number = "5", pages = "326--327", month = may, year = "1942", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2303102", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1525430", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1942:NDE, author = "Alston S. Householder and Robert R. Williamson", title = "A note on the diffusion of electrolytes in cells", journal = j-BULL-MATH-BIOPHYS, volume = "4", number = "2", pages = "73--76", month = jun, year = "1942", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02477311", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:30 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02477311", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1942:TSS, author = "Alston S. Householder", title = "A theory of steady-state activity in nerve-fiber networks: {IV}. {$N$} circuits with a common synapse", journal = j-BULL-MATH-BIOPHYS, volume = "4", number = "1", pages = "7--14", month = mar, year = "1942", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02477350", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:30 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02477350", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1943:KEI, author = "Alston S. Householder and George Gomori", title = "The kinetics of enzyme inactivation", journal = j-BULL-MATH-BIOPHYS, volume = "5", number = "3", pages = "83--90", month = sep, year = "1943", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478330", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:33 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478330", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1943:NAE, author = "Alston S. Householder", title = "Note on anodal excitation", journal = j-BULL-MATH-BIOPHYS, volume = "5", number = "3", pages = "91--94", month = sep, year = "1943", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478331", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:33 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478331", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1943:NRE, author = "Alston S. Householder", title = "Note on {Rashevsky}'s equation for cellular growth", journal = j-BULL-MATH-BIOPHYS, volume = "5", number = "4", pages = "161--163", month = dec, year = "1943", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478264", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:34 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478264", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1943:SSP, author = "Alston S. Householder", title = "On synchronous sporulation with possible reference to malarial parasites", journal = j-BULL-MATH-BIOPHYS, volume = "5", number = "4", pages = "149--154", month = dec, year = "1943", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478262", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:34 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478262", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1943:TIS, author = "Alston S. Householder", title = "A theory of the induced size effect", journal = j-BULL-MATH-BIOPHYS, volume = "5", number = "4", pages = "155--160", month = dec, year = "1943", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478263", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:34 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478263", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1944:BMR, author = "Alston S. Householder", title = "{{\booktitle{Biochemistry and morphogenesis}}}: [Review of {Joseph Needham 1942. xvi + 787 pp. Cambridge: At the University Press; New York: The Macmillan Company. \$12.50}]", journal = j-BULL-MATH-BIOPHYS, volume = "6", number = "2", pages = "83--84", month = jun, year = "1944", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478487", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:35 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478487", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1944:ETN, author = "Alston S. Householder", title = "Equivalence of the theories of nervous excitation of {Hill}, {Monnier}, and {Rashevsky}", journal = j-BULL-MATH-BIOPHYS, volume = "6", number = "2", pages = "79--81", month = jun, year = "1944", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478486", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:35 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478486", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Book{Householder:1944:MBC, author = "Alston S. Householder and Herbert D. Landahl", title = "Mathematical Biophysics of the Central Nervous System", volume = "1", publisher = "Principia Press, Inc.", address = "Bloomington, IN, USA", pages = "ix + 124", year = "1944", MRclass = "92.0X", MRnumber = "0016630", MRreviewer = "I. Opatowski", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Mathematical Biophysics Monograph Series", ZMnumber = "0063.02079", acknowledgement = ack-nhfb, } @Article{Householder:1944:TFT, author = "Alston S. Householder", title = "The two-factor theory of nervous excitation with non-normal accommodation", journal = j-BULL-MATH-BIOPHYS, volume = "6", number = "4", pages = "157--161", month = dec, year = "1944", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478433", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:36 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478433", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1945:DQL, author = "Alston S. Householder", title = "Dynamics of quadrupedal locomotion", journal = j-BULL-MATH-BIOPHYS, volume = "7", number = "2", pages = "53--57", month = jun, year = "1945", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478453", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:37 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478453", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1945:MDM, author = "Alston S. Householder", title = "Muscular dynamics and muscular efficiency: {I}. {The} isometric length-tension diagram of striated skeletal muscle", journal = j-BULL-MATH-BIOPHYS, volume = "7", number = "1", pages = "5--13", month = mar, year = "1945", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478254", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:36 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478254", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @TechReport{Garabedian:1946:TGT, author = "H. L. Garabedian and A. S. Householder", title = "The Two Group Theory of Piles with Multiple Reflectors", type = "Technical Report", number = "AECD-3585; MonP-202", institution = inst-ORNL, address = inst-ORNL:adr, day = "11", month = nov, year = "1946", bibdate = "Fri Dec 21 07:15:08 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4421155-two-group-theory-piles-multiple-reflectors", acknowledgement = ack-nhfb, keywords = "configuration; criticality; differential equations; group theory; mass; physics; reactor core; reactors; reflectors", } @Article{Householder:1946:MBC, author = "Alston S. Householder", title = "Mathematical biophysics and the central nervous system", journal = j-ACTA-BIOTHEOR, volume = "8", number = "1--2", pages = "67--76", month = mar, year = "1946", CODEN = "ABIOAN", DOI = "https://doi.org/10.1007/bf01555953", ISSN = "0001-5342 (print), 1572-8358 (electronic)", ISSN-L = "0001-5342", bibdate = "Fri Dec 21 12:15:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Acta biotheoretica", journal-URL = "http://link.springer.com/journal/10441", } @TechReport{Garabedian:1947:MGM, author = "H. L. Garabedian and A. S. Householder", title = "Multi-Group, Multi-Reflector Pile Theory", type = "Technical Report", number = "MonP-246", institution = inst-ORNL, address = inst-ORNL:adr, day = "12", month = feb, year = "1947", bibdate = "Fri Dec 21 07:13:53 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4370767-multi-group-multi-reflector-pile-theory", acknowledgement = ack-nhfb, keywords = "buckling; cylinders; equations; group theory; physics; reactor core; reactors; reflectors; spheres; zones", } @Article{Householder:1947:MAB, author = "Alston S. Householder", title = "{{\booktitle{Mathematical analysis of binocular vision}}}: [Review of {Rudolf K. Luneburg 1947. vi + 104 pp. Princeton: Princeton University Press. (Published for the Dartmouth Eye Institute.) \$2.50}]", journal = j-BULL-MATH-BIOPHYS, volume = "9", number = "4", pages = "185--187", month = dec, year = "1947", CODEN = "BMBIAO", DOI = "https://doi.org/10.1007/BF02478310", ISSN = "0007-4985 (print), 2376-8398 (electronic)", ISSN-L = "0007-4985", bibdate = "Wed Jun 28 16:12:43 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bullmathbiophys.bib", URL = "http://link.springer.com/article/10.1007/BF02478310", acknowledgement = ack-nhfb, fjournal = "Bulletin of Mathematical Biophysics", journal-URL = "http://link.springer.com/journal/11538", } @Article{Householder:1947:NSP, author = "A. S. Householder", title = "Neural structure in perception and response", journal = j-PSYCHOL-REV, volume = "54", number = "3", pages = "169--176", month = may, year = "1947", CODEN = "PSRVAX", ISSN = "0033-295X (print), 1939-1471 (electronic)", ISSN-L = "0033-295X", bibdate = "Sat Dec 22 09:28:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, ajournal = "Psychol. Rev.", fjournal = "Psychological Review", journal-URL = "https://www.apa.org/pubs/journals/rev/", } @Article{Householder:1949:BRM, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Mathematical theory of human relations. An approach to a mathematical biology of social phenomena}}}", journal = j-BULL-AMS, volume = "55", number = "7", pages = "722--724", year = "1949", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1949-09260-1", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1565141", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @TechReport{Householder:1949:NAC, author = "A. S. Householder", title = "Neutron age calculations in water, graphite, and tissue", type = "Technical Report", number = "AECD-2633", institution = inst-ORNL, address = inst-ORNL:adr, day = "31", month = oct, year = "1949", bibdate = "Fri Dec 21 06:43:31 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4413078-neutron-age-calculations-water-graphite-tissue", acknowledgement = ack-nhfb, keywords = "angular distribution; configuration; cross sections; energy; errors; fast neutrons; fermi age; graphite; Milne problem; Monte Carlo method; neutron sources; neutrons; numericals; physics; plates; scattering; slowdown; tables; thermal neutrons; tissues; water", } @TechReport{Sheppard:1949:IEI, author = "C. W. Sheppard and A. S. Householder", title = "The Interpretation of Experimental Investigations of Transfers Within a Two-Compartment System, Using Isotopic Tracers", type = "Technical Report", number = "ORNL-497", institution = inst-ORNL, address = inst-ORNL:adr, day = "29", month = dec, year = "1949", bibdate = "Fri Dec 21 07:12:28 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4418800-interpretation-experimental-investigations-transfers-within-two-compartment-system-using-isotopic-tracers", acknowledgement = ack-nhfb, keywords = "biology and medicine; blood cells; blood plasma; centrifugation; diffusion; distribution; efficiency; equations; errors; Fick law; isotopic exchange; labelled compounds; measured values; membranes; quantitative analysis; radioactivity; radioisotopes; separation processes; statistics; tracer techniques; uses; variations; volume", } @InProceedings{Householder:1950:AED, author = "Alston S. Householder", booktitle = "{Proceedings, Seminar on Scientific Computation, November, 1949}", title = "Analyzing exponential decay curves", publisher = "International Business Machines Corporation", address = "New York, NY, USA", pages = "28--32", year = "1950", MRclass = "65.0X", MRnumber = "0045448", MRreviewer = "P. W. Ketchum", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @TechReport{Householder:1950:PMF, author = "A. S. Householder", title = "On {Prony}'s Method of Fitting Exponential Decay Curves and Multiple-Hit Survival Curves", type = "Technical Report", number = "ORNL-455", institution = inst-ORNL, address = inst-ORNL:adr, pages = "????", day = "1", month = feb, year = "1950", bibdate = "Fri Dec 21 06:41:40 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4444525-prony-method-fitting-exponential-decay-curves-multiple-hit-survival-curves", acknowledgement = ack-nhfb, } @Article{Householder:1950:SNM, author = "A. S. Householder", title = "Some Numerical Methods for Solving Systems of Linear Equations", journal = j-AMER-MATH-MONTHLY, volume = "57", number = "7", pages = "453--459", month = aug # "\slash " # sep, year = "1950", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2308297", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65.0X", MRnumber = "0039369", MRreviewer = "J. Kuntzmann", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", ZMnumber = "0038.28102", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @TechReport{Sheppard:1950:MBI, author = "C. W. Sheppard and A. S. Householder", title = "The Mathematical Basis of the Interpretation of Tracer Experiments in Closed Steady State Systems", type = "Technical Report", number = "ORNL-716", institution = inst-ORNL, address = inst-ORNL:adr, pages = "????", day = "27", month = jun, year = "1950", bibdate = "Fri Dec 21 07:02:14 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4438385-mathematical-basis-interpretation-tracer-experiments-closed-steady-state-systems", acknowledgement = ack-nhfb, keywords = "bibliography; chemistry; grain boundaries; isotopes; labelled compounds; mathematics; mixing; phase diagrams; quantity ratio; surfaces; tracer techniques", } @TechReport{Householder:1951:NNT, author = "Alston Scott Householder", title = "Neural Nets for ``{Toad T1}''", type = "Research memorandum", number = "RM-671", institution = "RAND Corporation", address = "Santa Monica, CA, USA", pages = "9", year = "1951", bibdate = "Thu Dec 20 10:31:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.rand.org/pubs/research_memoranda/RM953.html", abstract = "A description of a nervous system which is capable of controlling behavior of the type exhibited by ``Toad T1'' and which is constructed of Randons which operate like McCulloch--Pitts neurons.", acknowledgement = ack-nhfb, } @Article{Householder:1951:PIR, author = "Alston S. Householder", title = "Polynomial iterations to roots of algebraic equations", journal = j-PROC-AM-MATH-SOC, volume = "2", number = "5", pages = "718--719", month = oct, year = "1951", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2032068", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "41.1X", MRnumber = "0043261", MRreviewer = "E. Frank", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0044.12903", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Householder:1951:PSA, author = "A. S. Householder", title = "Book Review: {{\booktitle{Consciousness and Behavior. A Neural Analysis of Behavior and of Consciousness}} by James T. Culbertson}", journal = j-J-SYMBOLIC-LOGIC, volume = "16", number = "4", pages = "286--287", year = "1951", CODEN = "JSYLA6", ISSN = "0022-4812 (print), 1943-5886 (electronic)", ISSN-L = "0022-4812", bibdate = "Fri Dec 21 19:03:38 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/2267938", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Logic", journal-URL = "http://projecteuclid.org/euclid.jsl; http://www.jstor.org/journal/jsymboliclogic", } @TechReport{Householder:1951:SNS, author = "Alston Scott Householder", title = "Some Notes for Simple {Pavlovian} Learning", type = "Research memorandum", number = "RM-678", institution = "RAND Corporation", address = "Santa Monica, CA, USA", pages = "7", year = "1951", bibdate = "Thu Dec 20 10:31:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.rand.org/pubs/research_memoranda/RM678.html", abstract = "A representation of some neural nets capable of mediating simple Pavlovian reflexes in their qualitative features, and some suggestions for furthur elaboration.", acknowledgement = ack-nhfb, } @Article{Sheppard:1951:MBI, author = "C. W. Sheppard and A. S. Householder", title = "The mathematical basis of the interpretation of tracer experiments in closed steady-state systems", journal = j-J-APPL-PHYS, volume = "22", pages = "510--520", year = "1951", CODEN = "JAPIAU", DOI = "https://doi.org/10.1063/1.1699992", ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850", ISSN-L = "0021-8979", MRclass = "92.0X", MRnumber = "0041411", MRreviewer = "L. J. Savage", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0043.43302", acknowledgement = ack-nhfb, fjournal = "Journal of Applied Physics", journal-URL = "http://aip.scitation.org/toc/jap/current", } @TechReport{Bales:1952:SGI, author = "Robert Freed Bales and Merrill M. Flood and Alston Scott Householder", title = "Some Group Interaction Models", type = "Research memorandum", number = "RM-953", institution = "RAND Corporation", address = "Santa Monica, CA, USA", pages = "66", year = "1952", bibdate = "Thu Dec 20 10:31:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.rand.org/pubs/research_memoranda/RM953.html", abstract = "A collection of memoranda describing the essential features of the human interaction process. This study is intended to develop adequate mathematical models of the human learning, decision, and interaction precesses to provide a theoretical structure for the scientific study of organizational behavior.", acknowledgement = ack-nhfb, } @Article{Householder:1952:BR, author = "A. S. Householder", title = "Book review", journal = j-PSYCHOMETRIKA, volume = "17", number = "4", pages = "441--442", month = dec, year = "1952", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02288919", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 11:56:40 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1953:BRD, author = "A. S. Householder", title = "Book Review: {{\booktitle{Design for a Brain}}, by W. Ross Ashby}", journal = j-J-AM-STAT-ASSOC, volume = "48", number = "263", pages = "669--671", month = sep, year = "1953", CODEN = "JSTNAL", ISSN = "0162-1459 (print), 1537-274X (electronic)", ISSN-L = "0162-1459", bibdate = "Wed Jan 25 08:05:30 MST 2012", bibsource = "http://www.jstor.org/journals/01621459.html; http://www.jstor.org/stable/i314142; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib", URL = "http://www.jstor.org/stable/2281028", acknowledgement = ack-nhfb, fjournal = "Journal of the American Statistical Association", journal-URL = "http://www.tandfonline.com/loi/uasa20", } @InProceedings{Householder:1953:EIS, author = "A. S. Householder", booktitle = "{Proceedings of the Association for Computing Machinery, Toronto, 1952}", title = "Errors in iterative solutions of linear systems", publisher = "Sauls Lithograph Co. (for the Association for Computing Machinery)", address = "Washington, DC, USA", pages = "30--33", year = "1953", MRclass = "65.0X", MRnumber = "0067579", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @InCollection{Householder:1953:GSI, author = "Alston S. Householder", booktitle = "Simultaneous linear equations and the determination of eigenvalues", title = "The geometry of some iterative methods of solving linear systems", volume = "29", publisher = pub-USGPO, address = pub-USGPO:adr, pages = "35--37", year = "1953", MRclass = "65.0X", MRnumber = "0059067", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "National Bureau of Standards Applied Mathematics Series", ZMnumber = "0052.34904", acknowledgement = ack-nhfb, } @Book{Householder:1953:PNA, author = "Alston S. Householder", title = "Principles of Numerical Analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "x + 274", year = "1953", ISBN = "0-486-61116-7", ISBN-13 = "978-0-486-61116-7", MRclass = "65.0X", MRnumber = "0059056", MRreviewer = "F. J. Murray", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", note = "Reprinted by Dover, New York, 1974", ZMnumber = "0051.34602", acknowledgement = ack-nhfb, } @Article{Householder:1954:GED, author = "Alston S. Householder", title = "Generation of errors in digital computation", journal = j-BULL-AMS, volume = "60", pages = "234--247", year = "1954", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1954-09792-6", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "65.0X", MRnumber = "0061463", MRreviewer = "J. Todd", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0055.36302", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @TechReport{Householder:1954:MDA, author = "A. S. Householder and H. P. Carter", title = "{Mathematics Division} Annual Progress Report for Period Ending {December 31, 1964}", type = "Technical Report", number = "ORNL-3766", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vi + 84", day = "1", month = mar, year = "1954", DOI = "https://doi.org/10.2172/4611480", bibdate = "Fri Dec 21 06:36:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4611480-mathematics-division-annual-progress-report-period-ending-december", acknowledgement = ack-nhfb, } @TechReport{Householder:1954:NVM, author = "A. S. Householder", title = "On Norms of Vectors and Matrices", type = "Technical Report", number = "ORNL-1756", institution = inst-ORNL, address = inst-ORNL:adr, pages = "v + 18", day = "26", month = aug, year = "1954", DOI = "https://doi.org/10.2172/4390763", MRclass = "09.0X", MRnumber = "0064008", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4930763-norms-vectors-matrices", acknowledgement = ack-nhfb, } @TechReport{Householder:1954:SLA, author = "A. S. Householder", title = "On Solving Linear Algebraic Systems", type = "Technical Report", number = "ORNL-1785", institution = inst-ORNL, address = inst-ORNL:adr, pages = "ii + 20", day = "13", month = oct, year = "1954", DOI = "https://doi.org/10.2172/4359614", MRclass = "65.0X", MRnumber = "0068317", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4359614-solving-linear-algebraic-systems", acknowledgement = ack-nhfb, } @Article{Kimball:1954:SMS, author = "A. W. Kimball and A. S. Householder", title = "A stochastic model for the selection of macronuclear units in paramecium growth", journal = j-BIOMETRICS, volume = "10", number = "3", pages = "361--374", month = sep, year = "1954", CODEN = "BIOMB6", ISSN = "0006-341X (print), 1541-0420 (electronic)", ISSN-L = "0006-341X", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/biometrics1950.bib", URL = "https://www.jstor.org/stable/3001591", ZMnumber = "0058.13306", acknowledgement = ack-nhfb, ajournal = "Biometrics", fjournal = "Biometrics", journal-URL = "http://www.jstor.org/journal/biometrics", } @TechReport{Downing:1955:SIC, author = "A. C. {Downing, Jr.} and A. S. Householder", title = "Some inverse characteristic value problems which arise in the study of simple molecules", type = "Technical Report", number = "CF-55-10-95", institution = inst-ORNL, address = inst-ORNL:adr, pages = "iv + 9", day = "20", month = oct, year = "1955", bibdate = "Fri Dec 21 06:56:50 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4357461-some-inverse-characteristic-value-problems-which-arise-study-simple-molecules", acknowledgement = ack-nhfb, } @TechReport{Householder:1955:BNA, author = "Alston S. Householder", title = "Bibliography on Numerical Analysis", type = "Technical Report", number = "ORNL-1897", institution = inst-ORNL, address = inst-ORNL:adr, pages = "32", day = "1", month = jul, year = "1955", MRclass = "65.0X", MRnumber = "0069574", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Rep. ORNL 1897", URL = "https://www.osti.gov/biblio/4377745-bibliography-numerical-analysis", acknowledgement = ack-nhfb, } @Article{Householder:1955:BRA, author = "A. S. Householder and Cecil Hastings and James P. Wong", title = "Book Review: {{\booktitle{Approximations for Digital Computers}} by Cecil Hastings Jr., Jeanne T. Hayward, James P. Wong Jr.}", journal = j-SCIENCE, volume = "122", number = "3170", pages = "602--602", day = "30", month = sep, year = "1955", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:28:01 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1750585", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1955:BRD, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Dictionary of Mathematical Sciences, English--German}} by Leo Herland}", journal = j-SCIENCE, volume = "121", number = "3155", pages = "859--859", day = "17", month = jun, year = "1955", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:15:13 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1682800", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1955:BRT, author = "Alston S. Householder", title = "Book Review: {{\booktitle{Transform Calculus with an Introduction to Complex Variables}} by E. J. Scott}", journal = j-SCIENCE, volume = "122", number = "3166", pages = "426--426", year = "1955", CODEN = "SCIEAS", ISSN = "00368075, 10959203", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:26:30 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1751587", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @TechReport{Householder:1955:CMI, author = "Alston S. Householder", title = "On the convergence of matrix iterations", type = "Technical Report", number = "ORNL-1883", institution = inst-ORNL, address = inst-ORNL:adr, pages = "47", day = "18", month = may, year = "1955", MRclass = "65.0X", MRnumber = "0075677", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Rep. ORNL 1883", URL = "https://www.osti.gov/biblio/4389134-convergence-matrix-iterations", acknowledgement = ack-nhfb, } @TechReport{Householder:1955:GED, author = "A. S. Householder", title = "The Generation of Error in Digital Computation", type = "Technical Report", number = "ORNL-1983", institution = inst-ORNL, address = inst-ORNL:adr, pages = "iv + 79", day = "11", month = oct, year = "1955", DOI = "https://doi.org/10.2172/4380237", MRclass = "68.0X", MRnumber = "0073314", MRreviewer = "L. Fox", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4380237-generation-error-digital-computation", acknowledgement = ack-nhfb, } @Article{Householder:1955:MSO, author = "A. S. Householder", title = "Mathematics, the schools, and the {ORACLE}", journal = j-MATH-TEACH, volume = "48", number = "5", pages = "299--304", year = "1955", ISSN = "0025-5769 (print), 2330-0582 (electronic)", ISSN-L = "0025-5769", bibdate = "Fri Dec 21 19:12:16 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/27954898", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Householder:1955:TNI, author = "A. S. Householder", title = "Terminating and Nonterminating Iterations for Solving Linear Systems", journal = j-J-SIAM, volume = "3", number = "2", pages = "67--72", month = jun, year = "1955", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", ISSN-L = "0368-4245", MRclass = "65.0X", MRnumber = "0074093", MRreviewer = "E. Stiefel", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", ZMnumber = "0067.35501", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Downing:1956:SIC, author = "A. C. {Downing, Jr.} and A. S. Householder", title = "Some Inverse Characteristic Value Problems", journal = j-J-ACM, volume = "3", number = "3", pages = "203--207", month = jul, year = "1956", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320831.320839", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.3X", MRnumber = "0083817", MRreviewer = "G. E. Forsythe", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Article{Householder:1956:BNA, author = "Alston S. Householder", title = "Bibliography on Numerical Analysis", journal = j-J-ACM, volume = "3", number = "2", pages = "85--100", month = apr, year = "1956", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320825.320829", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.0X", MRnumber = "0077214", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Article{Householder:1956:BR, author = "A. S. Householder", title = "Book review", journal = j-PSYCHOMETRIKA, volume = "21", number = "3", pages = "307--308", month = sep, year = "1956", CODEN = "PSMIA3", DOI = "https://doi.org/10.1007/bf02289143", ISSN = "0033-3123 (print), 1860-0980 (electronic)", ISSN-L = "0033-3123", bibdate = "Fri Dec 21 11:57:11 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Psychometrika", } @Article{Householder:1956:BRN, author = "A. S. Householder", title = "Book Review: {{\booktitle{Numerical Analysis. With Emphasis on the Application of Numerical Techniques to Problems of Infinitestimal Calculus in Single Variable}} by Zden{\v{e}}k Kopal}", journal = j-SCIENCE, volume = "124", number = "3216", pages = "324--324", day = "17", month = aug, year = "1956", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:29:11 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1750487", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1956:CMI, author = "Alston S. Householder", title = "On the Convergence of Matrix Iterations", journal = j-J-ACM, volume = "3", number = "4", pages = "314--324", month = oct, year = "1956", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320843.320851", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.3X", MRnumber = "0082185", MRreviewer = "E. Reich", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @TechReport{Householder:1956:GESa, author = "A. S. Householder", title = "Generated Error in the Solution of Certain Partial Difference Equations", type = "Technical Report", number = "ORNL-2230", institution = inst-ORNL, address = inst-ORNL:adr, pages = "v + 38", day = "12", month = dec, year = "1956", DOI = "https://doi.org/10.2172/4359395", bibdate = "Fri Dec 21 06:15:52 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4359395-generated-error-solution-certain-partial-difference-equations", acknowledgement = ack-nhfb, } @InProceedings{Householder:1956:GESb, author = "Alston S. Householder", editor = "????", booktitle = "{ACM'56: Proceedings of the 1956 11th ACM national meeting}", title = "Generated Error in the Solution of Certain Linear Difference Equations", publisher = pub-ACM, address = pub-ACM:adr, pages = "52--55", year = "1956", DOI = "https://doi.org/10.1145/800258.808947", bibdate = "Fri Dec 21 08:49:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://dl.acm.org/ft_gateway.cfm?id=808947", abstract = "Consider a system of linear difference equations approximating to a differential equation, and let the elements of the vector $x$ represent the values of the dependent variable at the grid points. The system can be written as a system of ordinary algebraic linear equations (1) (equation), where the form of the matrix A depends upon the order in which the grid points are numbered and upon the formulas of approximation to the integral or the derivative; the vector b depends upon the initial or the boundary values and upon the nonhomogeneous terms. Generally, but not necessarily, A will be made triangular for initial value problems. The adequacy of (1) for representing the differential equation will not be discussed here. Suppose one has obtained by some means, a vector $x$ as an approximation to the true solution $x$ of equation (1). Let (2) (equation) where $ (A x)$ represents the machine product of $A$ by $x$. The vector within the second pair of brackets can be bounded, and the bound depends upon the machine's arithmetic and the particular routine used for computing the product.", acknowledgement = ack-do, } @TechReport{Householder:1956:MPSa, author = "A. S. Householder", title = "{Mathematics Panel} Semiannual Progress Report for Period Ending {December 31, 1955}", type = "Technical Report", number = "ORNL-2037", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vi + 27", day = "13", month = mar, year = "1956", DOI = "https://doi.org/10.2172/4379210", bibdate = "Fri Dec 21 06:49:03 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4379210-mathematics-panel-semiannual-progress-report-period-ending-december", acknowledgement = ack-nhfb, keywords = "absorption- computers- cross sections- digital systems- mathematics- programming; activation- computers- digital systems- mathematics- programming- radiation detectors- sodium iodides; chemical reactions- computers- digital systems- enthalpy- entropy- equations- free energy- mathematics- measured values- programming- specific heat- thermodynamics; chromosomes- computers- digital systems- isotopic exchange- mathematics- mutations- programming- radiation effects- reactors; computers- digital systems- equations- mathematics- matrices- programming; computers- digital systems- indium sulfates- least squares-; physics", } @TechReport{Householder:1956:MPSb, author = "A. S. Householder", title = "{Mathematics Panel} Semiannual Progress Report for Period Ending {June 30, 1956}", type = "Technical Report", number = "ORNL-2134", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vii + 23", day = "1", month = oct, year = "1956", DOI = "https://doi.org/10.2172/4344350", bibdate = "Fri Dec 21 06:45:42 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4344350-mathematics-panel-semiannual-progress-report-period-ending-june", acknowledgement = ack-nhfb, } @Article{Householder:1956:NMV, author = "Alston Scott Householder", title = "Numerical mathematics from the viewpoint of electronic digital computers", journal = "{Elektronische Rechenmaschinen und Informationsverarbeitung}", volume = "??", number = "??", pages = "21--25", month = "????", year = "1956", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0074.12003", acknowledgement = ack-nhfb, } @Article{Householder:1956:PAA, author = "Alston S. Householder", title = "{Presidential Address to the ACM, Philadelphia, September 14, 1955}", journal = j-J-ACM, volume = "3", number = "1", pages = "1--2", month = jan, year = "1956", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320815.320816", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Wed Dec 16 07:24:06 1998", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Book{Householder:1956:PNA, author = "A. S. Householder", title = "Principles of numerical analysis", publisher = "Izdat. Inostr. Lit.", address = "Moscow, USSR", pages = "320", year = "1956", MRclass = "65.0X", MRnumber = "0080359", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @TechReport{Householder:1956:SOR, author = "A. S. Householder", title = "Some Observations on Reactor Criticality Calculations", type = "Technical Report", number = "CF-56-4-191", institution = inst-ORNL, address = inst-ORNL:adr, day = "24", month = apr, year = "1956", DOI = "https://doi.org/10.2172/4370575", bibdate = "Fri Dec 21 06:20:04 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4370575-some-observations-reactor-criticality-calculations", acknowledgement = ack-nhfb, } @Article{Householder:1957:BRM, author = "A. S. Householder", title = "Book Review: {{\booktitle{Matrix Calculus}} by E. Bodewig}", journal = j-SCIENCE, volume = "126", number = "3270", pages = "410--410", day = "30", month = aug, year = "1957", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:24:12 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1752177", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1957:RPA, author = "Alston S. Householder", title = "Retiring {Presidential} Address", journal = j-J-ACM, volume = "4", number = "1", pages = "1--4", month = jan, year = "1957", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320856.320857", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon Dec 05 19:59:13 1994", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Article{Householder:1957:RPN, author = "A. S. Householder", title = "Recent Publications: {{\booktitle{Numerical Analysis}}, by John H. Curtiss}", journal = j-AMER-MATH-MONTHLY, volume = "64", number = "4", pages = "283--286", month = apr, year = "1957", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2310452", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1529599", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1957:SSC, author = "Alston S. Householder", title = "A Survey of Some Closed Methods for Inverting Matrices", journal = j-J-SIAM, volume = "5", number = "3", pages = "155--169", month = sep, year = "1957", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", ISSN-L = "0368-4245", MRclass = "65.3X", MRnumber = "0091521", MRreviewer = "P. S. Dwyer", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", ZMnumber = "0080.33202", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Householder:1958:ASM, author = "A. S. Householder", title = "The Approximate Solution of Matrix Problems", journal = j-J-ACM, volume = "5", number = "3", pages = "205--243", month = jul, year = "1958", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320932.320933", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.35", MRnumber = "0128607", MRreviewer = "F. L. Bauer", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", ZMnumber = "0094.31003", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "iter; linear system; nla", } @Article{Householder:1958:CMI, author = "Alston S. Householder", title = "A Class of Methods for Inverting Matrices", journal = j-J-SIAM, volume = "6", number = "2", pages = "189--195", month = jun, year = "1958", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", ISSN-L = "0368-4245", MRclass = "65.00", MRnumber = "0096351", MRreviewer = "M. R. Hestenes", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", ZMnumber = "0085.33101", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Householder:1958:GER, author = "Alston S. Householder", title = "Generated Error in Rotational Tridiagonalization", journal = j-J-ACM, volume = "5", number = "4", pages = "335--338", month = oct, year = "1958", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320941.320946", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.00", MRnumber = "0111127", MRreviewer = "H. H. Goldstine", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Article{Householder:1958:MNN, author = "A. S. Householder", title = "On matrices with non-negative elements", journal = j-MONAT-MATH, volume = "62", number = "3", pages = "238--242", month = sep, year = "1958", CODEN = "MNMTA2", DOI = "https://doi.org/10.1007/BF01303968", ISSN = "0026-9255 (print), 1436-5081 (electronic)", ISSN-L = "0026-9255", MRclass = "15.00", MRnumber = "0095857", MRreviewer = "Ky Fan", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0081.25201", acknowledgement = ack-nhfb, fjournal = "Monatshefte f{\"u}r Mathematik", journal-URL = "http://link.springer.com/journal/605", } @Article{Householder:1958:NBN, author = "A. S. Householder and Joshua Stern", title = "Names for Binary Numbers", journal = j-SCIENCE, volume = "128", number = "3334", pages = "1246--1298", day = "24", month = apr, year = "1958", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.128.3334.1298", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:23:16 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1754563", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1958:UTN, author = "Alston S. Householder", title = "Unitary Triangularization of a Nonsymmetric Matrix", journal = j-J-ACM, volume = "5", number = "4", pages = "339--342", month = oct, year = "1958", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/320941.320947", ISSN = "0004-5411 (print), 1557-735x (electronic)", ISSN-L = "0004-5411", MRclass = "65.00", MRnumber = "0111128", MRreviewer = "H. H. Goldstine", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", URL = "https://www.osti.gov/biblio/4291799-unitary-triangularization-nonsymmetric-matrix", ZMnumber = "0121.33802", abstract = "A method for the inversion of a nonsymmetric matrix has been in use at ORNL and has proved to be highly stable numerically but to require a rather large number of arithmetic operations, including a total of $ N (N - 1) / 2 $ square roots. This note points out that the same result can be obtained with fewer arithmetic operations, and, in particular, for inverting a square matrix of order $N$, at most $ 2 (N - 1)$ square roots are required. For $ N > 4$, this is a savings of $ (N - 4) (N - 1) / 4$ square roots.", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "Householder transformation; nla; qrd", } @Article{Fan:1959:NCP, author = "Ky Fan and A. S. Householder", title = "A note concerning positive matrices and {$M$}-matrices", journal = j-MONAT-MATH, volume = "63", number = "3", pages = "265--270", month = sep, year = "1959", CODEN = "MNMTA2", DOI = "https://doi.org/10.1007/BF01295199", ISSN = "0026-9255 (print), 1436-5081 (electronic)", ISSN-L = "0026-9255", MRclass = "15.00", MRnumber = "0105423", MRreviewer = "L. Mirsky", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0086.01504", acknowledgement = ack-nhfb, fjournal = "Monatshefte f{\"u}r Mathematik", journal-URL = "http://link.springer.com/journal/605", } @Article{Householder:1959:BRP, author = "A. S. Householder", title = "Book Review: {{\booktitle{Les Probl{\`e}mes aux Limites de la Physique Math{\'e}matique. Introduction {\`a} leur{\'e}tude g{\'e}n{\'e}rale}} by H. G. Garnir}", journal = j-SCIENCE, volume = "129", number = "3356", pages = "1136--1136", day = "24", month = apr, year = "1959", CODEN = "SCIEAS", DOI = "https://doi.org/10.2307/1756795", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:21:07 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1756795", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1959:CME, author = "Alston S. Householder and Friedrich L. Bauer", title = "On Certain Methods for Expanding the Characteristic Polynomial", journal = j-NUM-MATH, volume = "1", pages = "29--37", month = dec, year = "1959", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386370", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00", MRnumber = "0100962", MRreviewer = "H. H. Goldstine", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", ZMnumber = "0089.11802", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characteristic polynomial; eig; nla", } @Article{Householder:1959:DLG, author = "Alston S. Householder", title = "{Dandelin}, {Loba{\v{c}}evski{\u{\i}}}, or {Graeffe}?", journal = j-AMER-MATH-MONTHLY, volume = "66", number = "6", pages = "464--466", month = jun # "\slash " # jul, year = "1959", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2310626", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65.00 (01.00)", MRnumber = "0104343", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0089.24202", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Householder:1959:MMN, author = "Alston S. Householder", title = "Minimal matrix norms", journal = j-MONAT-MATH, volume = "63", number = "4", pages = "344--350", month = dec, year = "1959", CODEN = "MNMTA2", DOI = "https://doi.org/10.1007/BF01299549", ISSN = "0026-9255 (print), 1436-5081 (electronic)", ISSN-L = "0026-9255", MRclass = "15.00", MRnumber = "0107657", MRreviewer = "H. S. A. Potter", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0103.00905", acknowledgement = ack-nhfb, fjournal = "Monatshefte f{\"u}r Mathematik", journal-URL = "http://link.springer.com/journal/605", } @TechReport{Householder:1959:MPP, author = "A. S. Householder", title = "{Mathematics Panel} Progress Report For Period {March 1, 1957} to {August 31, 1958}", type = "Technical Report", number = "ORNL-2652", institution = inst-ORNL, address = inst-ORNL:adr, day = "24", month = mar, year = "1959", bibdate = "Fri Dec 21 05:58:50 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4292915-mathematics-panel-progress-report-period-march-august", abstract = "ORACLE operation and programming are summarized, and progress is indicated on various current problems. Work is reviewed on numerical analysis, programming, basic mathematics, biometrics and statistics, ORACLE operations and special codes, and training. Publications and lectures for the report period are listed. (For preceding period see ORNL-2283.)", acknowledgement = ack-nhfb, } @Article{Bauer:1960:MCR, author = "F. L. Bauer and A. S. Householder", title = "Moments and Characteristic Roots", journal = j-NUM-MATH, volume = "2", number = "1", pages = "42--53", month = dec, year = "1960", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386207", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00 (15.00)", MRnumber = "0110188", MRreviewer = "H. Schwerdtfeger", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", ZMnumber = "0092.32503", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; la; pert", } @Article{Bauer:1960:SII, author = "F. L. Bauer and A. S. Householder", title = "Some inequalities involving the {Euclidean} condition of a matrix", journal = j-NUM-MATH, volume = "2", number = "1", pages = "308--311", month = dec, year = "1960", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386231", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15.00", MRnumber = "0116027", MRreviewer = "H. Schwerdtfeger", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0104.34502", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1960:BRV, author = "A. S. Householder", title = "Book Review: {L. V. Kantorovich \& V. I. Krylov, \booktitle{Approximate Methods of Higher Analysis}, Translated from the third Russian edition by Curtis D. Benster, Interscience Publishers, Inc., New York, 1958, xv + 681 p., 24 cm. Price \$17.00}", journal = j-MATH-COMPUT, volume = "14", number = "69", pages = "90--91", month = jan, year = "1960", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-60-99238-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 05:28:44 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", URL = "http://www.ams.org/journals/mcom/1960-14-069/S0025-5718-60-99238-3; http://www.ams.org/journals/mcom/1960-14-069/S0025-5718-60-99238-3/S0025-5718-60-99238-3.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Householder:1960:CIM, author = "A. S. Householder and F. L. Bauer", title = "On Certain Iterative Methods for Solving Linear Systems", journal = j-NUM-MATH, volume = "2", number = "1", pages = "55--59", month = dec, year = "1960", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386209", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00", MRnumber = "0116464", MRreviewer = "D. M. Young, Jr.", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", URL = "https://www.osti.gov/biblio/4158095-certain-iterative-methods-solving-linear-systems", ZMnumber = "0168.13501", abstract = "Projection iterative methods for the solution of large linear algebraic systems of equations are discussed generally, with some emphasis on the method of Gastinel. It is shown that the method of steepest descent converges faster than the methods of relaxation and of Gastinel.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; linear system; nla", } @InCollection{Householder:1960:MI, author = "A. S. Householder", booktitle = "International Dictionary of Applied Mathematics", title = "Matrix Inversion", publisher = "Van Nostrand", address = "Princeton, NJ, USA", year = "1960", bibdate = "Sat Dec 22 11:14:09 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Bauer:1961:ANC, author = "F. L. Bauer and A. S. Householder", title = "Absolute norms and characteristic roots", journal = j-NUM-MATH, volume = "3", number = "1", pages = "241--246", month = dec, year = "1961", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386023", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.33 (15.58)", MRnumber = "0130105", MRreviewer = "H. Schwerdtfeger", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0111.01601", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1961:BRK, author = "A. S. Householder", title = "Book Review: {A. Korganoff, with the collaboration of L. Bossett, J. L. Groboillot \& J. Johnson, \booktitle{M{\'e}thodes de Calcul Num{\'e}rique, Tome I: Alg{\`e}bre non lin{\'e}aire}, Dunod, Paris, 1961, xxvii + 375 p., 25 cm. Price 58 NF}", journal = j-MATH-COMPUT, volume = "15", number = "75", pages = "312--313", month = jul, year = "1961", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-61-99215-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 05:42:19 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", URL = "http://www.ams.org/journals/mcom/1961-15-075/S0025-5718-61-99215-8; http://www.ams.org/journals/mcom/1961-15-075/S0025-5718-61-99215-8/S0025-5718-61-99215-8.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Householder:1961:DM, author = "A. S. Householder", title = "On Deflating Matrices", journal = j-J-SIAM, volume = "9", number = "1", pages = "89--93", month = mar, year = "1961", CODEN = "JSIMAV", DOI = "https://doi.org/10.1137/0109009", ISSN = "0368-4245 (print), 1095-712X (electronic)", ISSN-L = "0368-4245", MRclass = "65.40", MRnumber = "0136057", MRreviewer = "B. A. Chartres", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", URL = "https://www.osti.gov/biblio/4088436-deflating-matrices", ZMnumber = "0104.01101", abstract = "The reduction of a matrix which has several roots is treated. For example, when a characteristic root of a matrix $A$ of order $n$ is known, it is possible, by any of several known methods, to replace $A$ by a matrix $B$, $ n - 1$ of whose roots are the yet unknown roots of $A$, and such that either $B$ is of order $ n - 1$, or else its remaining root is zero. It is shown that the vector iterates approach an invariant subspace belonging to these roots, and even when the roots are close, the corresponding invariant subspace is more stably separable from the complementary invariant subspace than are the principal vectors from one another within the subspace. By repeated application of the equations listed, the invariant subspaces can be peeled off and the problem reduced, at each step, to one of lower order.", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Householder:1963:BRCa, author = "A. S. Householder", title = "Book Review: {Centre Belge de Recherches Math{\'e}matiques, \booktitle{Colloque sur l'Analyse Num{\'e}rique}, Gauthier-Villars, Paris, 1961, 214 p., 25 cm.}", journal = j-MATH-COMPUT, volume = "17", number = "82", pages = "209--210", month = apr, year = "1963", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-63-99182-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:01:34 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", URL = "http://www.ams.org/journals/mcom/1963-17-082/S0025-5718-63-99182-8; http://www.ams.org/journals/mcom/1963-17-082/S0025-5718-63-99182-8/S0025-5718-63-99182-8.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Householder:1963:BRCb, author = "A. S. Householder", title = "Book Review: {Consciousness and Behavior, \booktitle{The Mind of Robots. Sense data, memory images and behavior in conscious automata}. James T. Culbertson. University of Illinois Press, Urbana, 1963. xiv + 466 pp. Illus. \$10}", journal = j-SCIENCE, volume = "141", number = "3584", pages = "895--895", day = "6", month = sep, year = "1963", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.141.3584.895", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Dec 22 06:07:28 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "See comment \cite{Blakemore:1963:HC}.", URL = "http://science.sciencemag.org/content/141/3584/895; https://www.jstor.org/stable/pdf/1712292.pdf", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Householder:1963:BRJ, author = "A. S. Householder", title = "Book Review: {John Todd, Editor, \booktitle{A Survey of Numerical Analysis}, McGraw-Hill Book Co., 1962, 23.5 cm., xvi + 589 p. Price \$12.50}", journal = j-MATH-COMPUT, volume = "17", number = "81", pages = "89--89", month = jan, year = "1963", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-63-99185-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 05:49:41 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", URL = "http://www.ams.org/journals/mcom/1963-17-081/S0025-5718-1963-1781088-8; http://www.ams.org/journals/mcom/1963-17-081/S0025-5718-1963-1781088-8/S0025-5718-1963-1781088-8.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InCollection{Householder:1963:NA, author = "A. S. Householder", booktitle = "Lectures on Modern Mathematics", title = "Numerical Analysis", volume = "1", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "59--97", year = "1963", MRclass = "65.00", MRnumber = "0178559", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0133.37802", acknowledgement = ack-nhfb, } @InProceedings{Householder:1963:SMC, author = "Alston S. Householder", editor = "Cicely M. Popplewell", booktitle = "{Information processing 1962: Proceedings of the IFIP Congress 62 [Munich, 27 August--1 September 1962]}", title = "Symposium on Matrix Computations", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, bookpages = "xvi + 780", pages = "198--206", year = "1963", LCCN = "TK7885.A1 I61 1962", bibdate = "Sat Dec 22 10:17:37 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://dblp.org", URL = "https://dblp.org/rec/bib/conf/ifip/Householder62", acknowledgement = ack-nhfb, } @Article{Householder:1963:SVI, author = "A. S. Householder and John A. Carpenter", title = "The singular values of involutory and of idempotent matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "234--237", month = dec, year = "1963", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385894", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15.25", MRnumber = "0156859", MRreviewer = "D. Vaida", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0118.01705", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @InCollection{Householder:1964:LCR, author = "A. S. Householder", booktitle = "{Recent Advances in Matrix Theory (Proc. Advanced Seminar, Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1963)}", title = "Localization of the characteristic roots of matrices", publisher = "University of Wisconsin Press", address = "Madison, WI, USA", pages = "39--60", year = "1964", MRclass = "15.25", MRnumber = "0169856", MRreviewer = "V. Pt{\'a}k", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0136.24903", acknowledgement = ack-nhfb, } @InCollection{Householder:1964:NA, author = "Alston Scott Householder", title = "Numerical Analysis", crossref = "Margenau:1964:MPC", chapter = "2", pages = "50--98", year = "1964", bibdate = "Fri Feb 15 09:11:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @InCollection{Householder:1964:PVV, author = "Alston Scott Householder", title = "Proper values and vectors: normalization and reduction of the matrix (methods of {Krylov, Webber-Voetter, Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan, Leverrier}, etc.)", crossref = "Householder:1964:TMN", chapter = "6", pages = "??--??", year = "1964", bibdate = "Tue Jun 19 06:30:20 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib", acknowledgement = ack-nhfb, } @Article{Householder:1965:KSR, author = "A. S. Householder", title = "The {Kantorovich} and Some Related Inequalities", journal = j-SIAM-REVIEW, volume = "7", number = "4", pages = "463--473", month = "????", year = "1965", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1007104", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.35 (65.82)", MRnumber = "0189229", MRreviewer = "James H. Wilkinson", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/7/4; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0161.03001", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1965", } @TechReport{Householder:1965:MDA, author = "A. S. Householder and H. P. Carter", title = "{Mathematics Division} Annual Progress Report for Period Ending {December 31, 1964}", type = "Technical Report", number = "ORNL-3766", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vi + 84", day = "1", month = mar, year = "1965", DOI = "https://doi.org/10.2172/4611480", bibdate = "Fri Dec 21 07:16:57 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4611480", acknowledgement = ack-nhfb, keywords = "biology; CDC 1604; computers; instruments; mathematics; mathematics and computers; medicine; metallurgy; operation; ORNL; programming; reactors; safety; statistics", } @Article{Cox:1966:PSS, author = "Henry Cox and A. S. Householder and K. L. Yocom", title = "Problems and Solutions: Solutions of Elementary Problems: E1772", journal = j-AMER-MATH-MONTHLY, volume = "73", number = "5", pages = "543--544", month = may, year = "1966", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1533811", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://links.jstor.org/sici?sici=0002-9890(196605)73:5<543:E>2.0.CO;2-O&origin=MSN", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Philipp:1965:PSE}.", } @Article{Gragg:1966:TK, author = "W. B. Gragg and A. S. Householder", title = "On a Theorem of {Koenig}", journal = j-NUM-MATH, volume = "8", number = "5", pages = "465--468", month = aug, year = "1966", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02166672", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.50", MRnumber = "0203930", MRreviewer = "J. F. Traub", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", ZMnumber = "0143.17102", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Koenig's theorem; nlop", } @Article{Householder:1966:STN, author = "A. S. Householder", title = "Separation theorems for normalizable matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "46--50", month = nov, year = "1966", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165228", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15.30", MRnumber = "0212036", MRreviewer = "J. Stoer", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0192.13501", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Newman:1966:PSS, author = "D. J. Newman and A. S. Householder", title = "Problems and Solutions: Solutions of Advanced Problems: 5281", journal = j-AMER-MATH-MONTHLY, volume = "73", number = "4", pages = "422--423", month = apr, year = "1966", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1533762", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://links.jstor.org/sici?sici=0002-9890(196604)73:4<422:5>2.0.CO;2-Q&origin=MSN", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Guglielmo:1965:PSA}.", } @Book{Bauer:1967:DA, author = "Friedrich L. Bauer and Alston S. Householder and Frank W. J. Olver and Heinz Rutishauser and Klaus Samelson and Eduard Stiefel", title = "Description of {ALGOL 60}", volume = "1a", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 326", year = "1967", DOI = "https://doi.org/10.1007/978-3-642-86934-1; https://doi.org/10.1007/978-3-662-38103-8", ISBN = "3-540-03826-4, 3-642-86934-3 (e-book), 3-642-86936-X (print), 3-662-38103-6", ISBN-13 = "978-3-540-03826-9, 978-3-642-86934-1 (e-book), 978-3-642-86936-5 (print), 978-3-662-38103-8", LCCN = "QA76.5 .R87", bibdate = "Fri Aug 21 08:00:06 MDT 2020", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Handbook for Automatic Computation", URL = "http://www.springerlink.com/content/978-3-642-86934-1", abstract = "Automatic computing has undergone drastic changes since the pioneering days of the early Fifties, one of the most obvious being that today the majority of computer programs are no longer written in machine code but in some programming language like FORTRAN or ALGOL. However, as desirable as the time-saving achieved in this way may be, still a high proportion of the preparatory work must be attributed to activities such as error estimates, stability investigations and the like, and for these no programming aid whatsoever can be of help. In this respect, ALGOL, as an internationally standardized notation which avoids computer-oriented concepts, provides another advantage, not often mentioned, but one which was already the guiding principle at the very beginning of the programming language venture: indeed, a correct ALGOL program is the abstractum of a computing process for which the necessary analyses have already been performed. It is the very purpose of this Handbook to establish such abstract formulations of certain computing processes. Therefore, numerical methods given in this Handbook in the form of ALGOL procedures may be put to immediate use wherever ALGOL is known and understood; in fact, application of such a method reduces to little more than calling the corresponding procedure.", acknowledgement = ack-nhfb, author-dates = "Alston Scott Householder (1904--1993); Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015)", tableofcontents = "IL Introduction \\ 1. The Concept of Automatic Programming \\ 2. Historical Remarks on Algorithmic Languages \\ 3. The Algol Conferences of 1958, 1960, 1962 \\ 4. Algol Dialects and the IFIP Subset of Algol 60 \\ 5. Preliminary Definition of Algol \\ II: Basic Concepts \\ 6. Auxiliary Conventions \\ 7. The Basic Symbols of Algol \\ 8. Values \\ 9. Quantities and their Names \\ 10. Numerical Constants \\ 11. Labels \\ 12. Strings \\ 13. Comments \\ III: Expressions \\ 14. Variables \\ 15. Function Designators \\ 16. Simple Arithmetic Expressions \\ 17. Relations \\ 18. Simple Boolean Expressions \\ 19. Conditional Expressions \\ 20. Subscript Expressions \\ IV: Statements \\ 21. Assignment Statements \\ 22. Sequences of Statements \\ 23. Labelled Statements \\ 24. The Dummy Statement \\ 25. Goto-Statements \\ 26. Procedure Statements I \\ 27. Compound Statements and Blocks \\ 28. The If-Statement \\ 29. The If-Else-Statement \\ 30. The For-Statement \\ V: Miscellaneous Applications \\ 31. Algebraic Problems \\ 32. Interpolation and Numerical Quadrature \\ 33. Numerical Integration of Differential Equations \\ 34. Least Square Problems \\ 35. Computations Related to Continued Fractions \\ 36. Considerations Concerning Computer Limitations \\ 37. Data Processing Applications \\ VI: Declarations \\ 38. Type Declarations \\ 39. Array Declarations \\ 40. Switch Declarations \\ 41. Procedure Declarations I \\ 42. Semantics of Blocks \\ 43. Entire Programs \\ VII: Procedures \\ 44. Procedure Declarations II \\ 45. Procedure Statements II \\ 46. Function Procedures and their Use \\ 47. Code Procedures \\ 48. Parameter Procedures \\ VIII: Input and Output \\ 49. The Standard I/O-Procedures of Algol \\ 50. Applications of Procedures insymbol, outsymbol \\ 51. Use of inarray, outarray for Auxiliary Storage \\ Appendix A \\ 52. The Jensen Device \\ 52.1. The full name-concept \\ 52.2. The Jensen device \\ 52.3. Bound variables \\ 53. Conclusion \\ 53.1. Church's lambda notation \\ 53.2. The lambda notation for arrays \\ 53.3. Syntax of the proposed extension \\ 53.4. Semantics of the proposed extension \\ 53.5. Applications of the proposed extension \\ Appendix B. The IFIP-Reports on Algol \\ References", xxseries = "Die Grundlehren der mathematischen Wissenschaften", } @Article{Householder:1967:BRS, author = "A. S. Householder", title = "Book Review: {{\booktitle{Solution of Equations and Systems of Equations}} (A. M. Ostrowski)}", journal = j-SIAM-REVIEW, volume = "9", number = "3", pages = "608--609", month = "????", year = "1967", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1009097", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:05:48 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/9/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1967", } @Article{Householder:1968:BPR, author = "A. S. Householder", title = "Bigradients and the Problem of {Routh} and {Hurwitz}", journal = j-SIAM-REVIEW, volume = "10", number = "1", pages = "56--66", month = jan, year = "1968", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1010003", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "30.11", MRnumber = "0229805", MRreviewer = "M. Marden", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/10/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See erratum \cite{Householder:1968:EBP}.", ZMnumber = "0169.09003", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1968", } @Article{Householder:1968:EBP, author = "A. S. Householder", title = "Erratum: {Bigradients} and the problem of {Routh} and {Hurwitz}", journal = j-SIAM-REVIEW, volume = "10", number = "4", pages = "438--438", month = oct, year = "1968", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1010094", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "30.11", MRnumber = "0235100", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/10/4; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Householder:1968:BPR}.", ZMnumber = "0182.09202", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1968", } @Article{Householder:1968:MCR, author = "A. S. Householder", title = "Moments and characteristic roots. {II}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "126--128", month = feb, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165308", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.40", MRnumber = "0226842", MRreviewer = "James H. Wilkinson", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; la; pert", } @Article{Householder:1968:NLR, author = "A. S. Householder", title = "Norms and the localization of roots of matrices", journal = j-BULL-AMS, volume = "74", pages = "816--830", year = "1968", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1968-12051-8", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "65.40 (15.00)", MRnumber = "0231526", MRreviewer = "J. Vandergraft", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0169.04404", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @InCollection{Householder:1968:SAT, author = "A. S. Householder", booktitle = "{Programmation en Math{\'e}matiques Num{\'e}riques (Actes Colloq. Internat. C.N.R.S. No. 165, Besan{\c{c}}on, 1966)}", title = "Some applications of the theory of norms", publisher = "{\'E}ditions Centre Nat. Recherche Sci.", address = "Paris, France", pages = "27--36", year = "1968", MRclass = "65.35", MRnumber = "0230458", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0207.15502", acknowledgement = ack-nhfb, } @InCollection{Householder:1969:BHD, author = "A. S. Householder and G. W. {Stewart III}", title = "Bigradients, {Hankel} determinants, and the {Pad{\'e}} table", crossref = "Dejon:1969:CAF", pages = "131--150", year = "1969", MRclass = "65.35", MRnumber = "0266406 (42 \#1312)", MRreviewer = "J. F. Traub", bibdate = "Thu May 29 16:03:11 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib", ZMnumber = "0181.17404", acknowledgement = ack-nhfb, GWS-number = "N1", } @Article{Householder:1969:CSI, author = "A. S. Householder and G. W. Stewart", title = "Comments on: ``{{\booktitle{Some iterations for factoring a polynomial}}}''", journal = j-NUM-MATH, volume = "13", number = "5", pages = "470--471", month = oct, year = "1969", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02163274", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.50", MRnumber = "0250478", MRreviewer = "J. F. Traub", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @TechReport{Householder:1969:KIM, author = "A. S. Householder", title = "{KWIC} index for matrices in numerical analysis. {Volume I}: {Primary} authors {A--J}", type = "Technical Report", number = "ORNL-4418, Vol. I", institution = inst-ORNL, address = inst-ORNL:adr, pages = "viii + 125", day = "1", month = jan, year = "1969", MRclass = "65-02 (65F99)", MRnumber = "0292283", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4785678-kwic-index-matrices-numerical-analysis-volume-primary-authors", acknowledgement = ack-nhfb, } @Article{H:1970:BRH, author = "A. S. H.", title = "Book Review: {H. R. Schwarz, H. Rutishauser \& E. Stiefel, \booktitle{Numerik Symmetrischer Matrizen}, B. G. Teubner Verlag, Stuttgart, 1968, 243 pp., 22 cm. Price DM 34-}", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "229--230", month = jan, year = "1970", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004900", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Wed Aug 26 06:41:52 2020", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "https://www.jstor.org/stable/2004900", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "Heinz Rutishauser (30 January 1918--10 November 1970)", } @Article{Householder:1970:BEL, author = "A. S. Householder", title = "{Bezoutiants}, Elimination and Localization", journal = j-SIAM-REVIEW, volume = "12", number = "1", pages = "73--78", month = jan, year = "1970", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1012003", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.50", MRnumber = "0272181", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/12/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0194.46903", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1970", } @Article{Householder:1970:BRD, author = "A. S. Householder", title = "Book Review: {{\booktitle{A Determinant}} (J. Prasad)}", journal = j-SIAM-REVIEW, volume = "12", number = "2", pages = "302--304", month = apr, year = "1970", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1012063", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:17 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/12/2; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "April 1970", } @Article{Householder:1970:GAS, author = "A. S. Householder", title = "Generalizations of an algorithm of {Sebasti}{\~a}o e {Silva}", journal = j-NUM-MATH, volume = "16", pages = "375--382", year = "1970/1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165009", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.50", MRnumber = "0285108", MRreviewer = "E. Frank", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @TechReport{Householder:1970:KIM, author = "A. S. Householder", title = "{KWIC} index for matrices in numerical analysis. {Volume II}: {Primary} authors {K--Z}", type = "Technical Report", number = "ORNL-4418, Vol. II", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vii + 151", day = "1", month = jan, year = "1970", MRclass = "65-02 (65F99)", MRnumber = "0292284", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4130263-kwic-index-matrices-numerical-analysis-volume-ii-primary-authors", acknowledgement = ack-nhfb, } @TechReport{Householder:1970:KIN, author = "A. S. Householder", title = "{KWIC} index for the numerical treatment of nonlinear equations", type = "Technical Report", number = "ORNL-4595", institution = inst-ORNL, address = inst-ORNL:adr, pages = "vii + 129", year = "1970", MRclass = "65-02 (65HXX)", MRnumber = "0292285", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4087444-kwic-index-numerical-treatment-nonlinear-equations", ZMnumber = "0221.65001", acknowledgement = ack-nhfb, } @Article{Householder:1970:NGI, author = "Alston S. Householder and Richard S. Varga and James H. Wilkinson", title = "A Note on {Gerschgorin}'s Inclusion Theorem for Eigenvalues of Matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "141--144", month = nov, year = "1970", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02308866", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.40 (15.00)", MRnumber = "MR0275648 (43 \#1401)", MRreviewer = "J. Stoer", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0192.36903", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; matrix algebra", xxtitle = "A note on {Gershgorin}'s inclusion theorem for eigenvalues of matrices", } @Book{Householder:1970:NTS, author = "A. S. Householder", title = "The Numerical Treatment of a Single Nonlinear Equation", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "viii + 216", year = "1970", MRclass = "65H05", MRnumber = "0388759", MRreviewer = "J. W. Schmidt", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "International Series in Pure and Applied Mathematics", ZMnumber = "0242.65047", acknowledgement = ack-nhfb, } @Article{Householder:1970:PRA, author = "Alston S. Householder", title = "On the Penultimate Remainder Algorithm and the Catalytic Multiplier", journal = j-SIAM-J-APPL-MATH, volume = "19", number = "4", pages = "668--671", month = dec, year = "1970", CODEN = "SMJMAP", DOI = "https://doi.org/10.1137/0119066", ISSN = "0036-1399 (print), 1095-712x (electronic)", ISSN-L = "0036-1399", MRclass = "65.50", MRnumber = "0272180", MRreviewer = "H. H. Goldstine", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", ZMnumber = "0267.65040", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", } @Article{Householder:1971:B, author = "Alston S. Householder", title = "Brigadients", journal = j-SIAM-REVIEW, volume = "13", number = "1", pages = "114--115", month = jan, year = "1971", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1013017", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:25 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/13/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1971", } @Article{Householder:1971:BRD, author = "A. S. Householder", title = "Book Review: {{\booktitle{A Determinant}} (J. Prasad)}", journal = j-SIAM-REVIEW, volume = "13", number = "3", pages = "395--395", month = jul, year = "1971", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1013075", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:30 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/13/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1971", } @Article{Householder:1971:BRS, author = "Alston S. Householder and Harry Appelgate", title = "Book Review: {{\booktitle{Some Algebraic Identities}} (Stan Kaplan)}", journal = j-SIAM-REVIEW, volume = "13", number = "1", pages = "132--136", month = jan, year = "1971", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1013029", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:25 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/13/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1971", } @Article{Householder:1971:DES, author = "A. S. Householder and Kenneth Fox", title = "Determination of eigenvectors of symmetric idempotent matrices", journal = j-J-COMPUT-PHYS, volume = "8", number = "2", pages = "292--294", month = oct, year = "1971", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(71)90009-X", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65F15", MRnumber = "0298914", MRreviewer = "C. G. Cullen", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199917190009X", ZMnumber = "0221.65069", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Householder:1971:GAS, author = "A. S. Householder", title = "Generalizations of an algorithm of {Sebasti{\~a}o e Silva}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "375--382", month = jan, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165009", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:37:01 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See postscript \cite{Householder:1973:PGA}.", ZMnumber = "0197.43003", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1971:MZT, author = "A. S. Householder", title = "Multigradients and the Zeros of Transcendental Functions", journal = j-LINEAR-ALGEBRA-APPL, volume = "4", number = "2", pages = "175--182", month = apr, year = "1971", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(71)90038-3", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65.50", MRnumber = "0290559", MRreviewer = "J. G. Herriot", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379571900383", ZMnumber = "0213.16501", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", keywords = "nlop", } @Article{Householder:1971:NFP, author = "A. S. Householder and G. W. Stewart", title = "The Numerical Factorization of a Polynomial", journal = j-SIAM-REVIEW, volume = "13", number = "1", pages = "38--46", month = jan, year = "1971", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1013002", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.50", MRnumber = "0286272", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/13/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0225.65063", acknowledgement = ack-nhfb, fjournal = "SIAM Review", GWS-number = "J12", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1971", } @Article{Householder:1971:PTF, author = "A. S. Householder", title = "The {Pad{\'e}} Table, the {Frobenius} Identities, and the $ q d $ algorithm", journal = j-LINEAR-ALGEBRA-APPL, volume = "4", number = "2", pages = "161--174", month = apr, year = "1971", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(71)90037-1", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "41.17", MRnumber = "0287228", MRreviewer = "D. C. Handscomb", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379571900371", ZMnumber = "0213.16403", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", keywords = "nlop, polynomial, Pade table, qd-algorithm, Frobenius identities", } @Article{Householder:1972:CNM, author = "Alston S. Householder", title = "On a Condition for the Nonsingularity of a Matrix", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "119--120", month = jan, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004722", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "0303697", MRreviewer = "C. S. Duris", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", ZMnumber = "0262.65024", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; iterative methods; matrix iteration; nonsingularity of a matrix", treatment = "T Theoretical or Mathematical", } @TechReport{Householder:1972:KIN, author = "A. S. Householder", title = "{KWIC} index for numerical algebra", type = "Technical Report", number = "ORNL-4778", institution = inst-ORNL, address = inst-ORNL:adr, pages = "viii + 538", year = "1972", DOI = "https://doi.org/10.2172/4645951", MRclass = "65FXX (65HXX)", MRnumber = "0359285", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4645951-kwic-index-numerical-algebra", acknowledgement = ack-nhfb, } @Book{Householder:1972:LNA, author = "A. S. Householder", title = "Lectures on Numerical Algebra", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "iii + 250 + vii", year = "1972", LCCN = "QA155 .H67", MRclass = "65-02 (15A60)", MRnumber = "0408186 (53 \#11952)", MRreviewer = "John Todd", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib", note = "Notes on lectures given at the June 19--July 28, 1972, MAA Summer Seminar, Williams College, Williamstown, MA, USA.", acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj, } @TechReport{Householder:1972:STH, author = "A. S. Householder", title = "{Schr{\"o}der} and {Trude}: a Historical Excursion", type = "Reprint", number = "LA-DC-72-1121", institution = "Los Alamos Scientific Laboratory", address = "Los Alamos, NM, USA", pages = "????", year = "1972", bibdate = "Sat Dec 22 11:16:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Householder:1973:GFJ, author = "A. S. Householder", title = "{George E. Forsythe (January 8, 1917--April 9, 1972)}", journal = j-SIAM-J-NUMER-ANAL, volume = "10", pages = "viii--xi", year = "1973", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0710023", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "01A70 (65-03)", MRnumber = "MR0329839 (48 \#8180)", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", note = "Collection of articles dedicated to the memory of George E. Forsythe", ZMnumber = "0254.01015", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Householder:1973:KIN, author = "A. S. Householder", title = "{KWIC} index for numerical algebra", type = "Technical Report", number = "ORNL-4778 (supplement 1)", institution = inst-ORNL, address = inst-ORNL:adr, pages = "????", day = "1", month = aug, year = "1973", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/4446292-kwic-index-numerical-algebra", acknowledgement = ack-nhfb, } @Article{Householder:1973:PGA, author = "A. S. Householder", title = "Postscript to: {``Generalizations of an algorithm of Sebasti{\~a}o e Silva''}", journal = j-NUM-MATH, volume = "20", number = "3", pages = "205--207", month = jun, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436563", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "0315890", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Householder:1971:GAS}.", ZMnumber = "0234.65050", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Deutsch:1974:PSS, author = "Emeric Deutsch and A. S. Householder", title = "Problems and Solutions: Solutions of Advanced Problems: 5923", journal = j-AMER-MATH-MONTHLY, volume = "81", number = "8", pages = "916--916", month = oct, year = "1974", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2319467", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1544068", bibdate = "Mon Jun 28 12:37:39 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxnote = "See also \cite{Cohn:1973:PSA}.", xxtitle = "Advanced Problems and Solutions: Solutions: 5923", } @Article{Householder:1974:BES, author = "A. S. Householder", title = "Bigradients and the {Euclid--Sturm} algorithm", journal = j-SIAM-REVIEW, volume = "16", number = "2", pages = "207--213", month = "????", year = "1974", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1016028", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "12D99 (65H05)", MRnumber = "0349640", MRreviewer = "W. Ledermann", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/16/2; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0255.65027", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "April 1974", } @Article{Householder:1974:G, author = "A. S. Householder", title = "The {Gatlinburgs}", journal = j-SIAM-REVIEW, volume = "16", number = "3", pages = "340--343", month = "????", year = "1974", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1016054", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:07:02 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/16/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1974", } @InCollection{Householder:1974:KHT, author = "Alston S. Householder", booktitle = "Studies in numerical analysis (papers in honour of {Cornelius Lanczos} on the occasion of his 80th birthday)", title = "The {Koenig--Hadamard} theorem again", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "235--240", year = "1974", MRclass = "30A82 (30A16)", MRnumber = "0364651", MRreviewer = "E. Frank", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Book{Householder:1974:PNA, author = "Alston S. Householder", title = "Principles of numerical analysis", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "x + 274", year = "1974", MRclass = "65-01", MRnumber = "0461842", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Unabridged, corrected version of the 1953 edition", ZMnumber = "0327.65003", acknowledgement = ack-nhfb, } @Article{Householder:1974:STH, author = "A. S. Householder", title = "{Schr{\"o}der} and {Trudi}: a Historical Excursion", journal = j-SIAM-REVIEW, volume = "16", number = "3", pages = "344--348", month = "????", year = "1974", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1016055", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65H05", MRnumber = "0359308", MRreviewer = "Ian Gladwell", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "http://epubs.siam.org/toc/siread/16/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0268.65033; 0286.65025", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1974", } @TechReport{Householder:1975:KIN, author = "A. S. Householder", title = "{KWIC} index for numerical algebra", type = "Technical Report", number = "ORNL-4778 (revised)", institution = inst-ORNL, address = inst-ORNL:adr, pages = "????", day = "1", month = jun, year = "1975", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/5064523-kwic-index-numerical-algebra", acknowledgement = ack-nhfb, } @InCollection{Householder:1975:PVV, author = "Alston Scott Householder", title = "Proper values and vectors: normalization and reduction of the matrix (methods of {Krylov, Webber-Voetter, Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan, Leverrier}, etc.)", crossref = "Householder:1975:TMN", chapter = "6", pages = "??--??", year = "1975", bibdate = "Tue Jun 19 06:30:20 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib", acknowledgement = ack-nhfb, } @Article{Gerstein:1976:BR, author = "Larry J. Gerstein and H. Mochizuki and George P. H. Styan and D. {\v{Z}}. {\Dbar}okovi{\'c} and Alston Householder and Alan J. Hoffman and C. J. Maxson", title = "Book reviews", journal = j-LIN-AND-MULT-ALGEBRA, volume = "3", number = "4", pages = "313--325", year = "1976", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081087608817123", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", bibdate = "Tue Sep 20 15:09:46 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", acknowledgement = ack-nhfb, fjournal = "Linear and Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", onlinedate = "03 Apr 2008", } @Article{Bauer:1979:ES, author = "F. L. Bauer and G. H. Golub and A. S. Householder and K. Samelson", title = "{Eduard L. Stiefel}: 4/21/1909--11/27/1978", journal = j-NUM-MATH, volume = "32", number = "4", pages = "480--481", month = dec, year = "1979", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01401049", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "542208, 82e:01083", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "With a German translation.", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1979:BRH, author = "Alston S. Householder", title = "Book Review: {{\booktitle{A History of Numerical Analysis from the 16th through the 19th Century}} by Herman H. Goldstine}", journal = j-ISIS, volume = "70", number = "3", pages = "450--451", month = sep, year = "1979", CODEN = "ISISA4", ISSN = "0021-1753 (print), 1545-6994 (electronic)", ISSN-L = "0021-1753", bibdate = "Tue Jul 30 21:29:57 MDT 2013", bibsource = "http://www.jstor.org/action/showPublication?journalCode=isis; http://www.jstor.org/stable/i302334; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/isis1970.bib", URL = "http://www.jstor.org/stable/231391", acknowledgement = ack-nhfb, fjournal = "Isis", journal-URL = "http://www.jstor.org/journal/isis", } @InCollection{Householder:1980:ROR, author = "A. S. Householder", title = "Reminiscences of {Oak Ridge}", crossref = "Metropolis:1980:HCT", pages = "385--388", year = "1980", DOI = "https://doi.org/10.1016/B978-0-12-491650-0.50026-5", bibdate = "Fri Nov 19 08:00:13 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib", URL = "http://www.sciencedirect.com/science/article/pii/B9780124916500500265", acknowledgement = ack-nhfb, } @Article{Burks:1985:CEM, author = "Arthur W. Burks and Alston S. Householder and N. Metropolis and S. M. Ulam", title = "Comments on Early {Monte Carlo} Computations and Scientific Meetings", journal = j-ANN-HIST-COMPUT, volume = "7", number = "2", pages = "147--148", month = apr # "\slash " # jun, year = "1985", CODEN = "AHCOE5", ISSN = "0164-1239", ISSN-L = "0164-1239", bibdate = "Fri Nov 1 15:29:22 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://dlib.computer.org/an/books/an1985/pdf/a2141.pdf; http://links.jstor.org/sici?sici=0002-9890%28196502%2972%3A2%3C47%3AEEICC%3E2.0.CO%3B2-T; http://www.computer.org/annals/an1985/a2141abs.htm", acknowledgement = ack-nhfb, fjournal = "Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650", } @Article{Bauer:1987:MJH, author = "F. L. Bauer and A. S. Householder", title = "In memoriam: {J. H. Wilkinson} (1919--1986)", journal = j-NUM-MATH, volume = "51", number = "1", pages = "1--2", month = may, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01399690", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "884129, 88b:01041", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hoffman:1994:YIV, author = "A. J. Hoffman and A. S. Householder and A. M. Ostrowski and O. Taussky Todd", title = "20 years index volume ``{{\booktitle{Linear Algebra and its Applications}}}''", journal = j-LINEAR-ALGEBRA-APPL, volume = "200", number = "??", pages = "1--83", month = "????", year = "1994", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRnumber = "00A15 01A75", bibdate = "Thu Dec 20 08:03:59 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib", ZMnumber = "0793.00005", acknowledgement = ack-nhfb, fjournal = "{Linear Algebra and its Applications}", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Book{Householder:2006:PNA, author = "Alston S. Householder", title = "Principles of Numerical Analysis", publisher = pub-DOVER, address = pub-DOVER:adr, edition = "Corrected", pages = "x + 274", year = "2006", ISBN = "0-486-45312-X", ISBN-13 = "978-0-486-45312-5", MRclass = "65-01", MRnumber = "2450153", bibdate = "Thu Dec 6 18:25:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "1152.65002", acknowledgement = ack-nhfb, } @InCollection{Householder:2006:PVV, author = "Alston Scott Householder", title = "Proper values and vectors: normalization and reduction of the matrix (methods of {Krylov, Webber--Voetter, Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan, Leverrier}, etc.)", crossref = "Householder:2006:TMN", chapter = "6", pages = "??--??", year = "2006", bibdate = "Tue Jun 19 06:30:20 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib", acknowledgement = ack-nhfb, }

%%% ==================================================================== %%% Part 2 (of 3) --- publications about Alston S. Householder and his %%% works %%% %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear':

@PhdThesis{Hessenberg:1942:BEE, author = "Karl Hessenberg", title = "{Die Berechnung der Eigenwerte und Eigenl{\"o}sungen linearer Gleichungssysteme}. ({German}) [{The} computation of eigenvalues and eigensolutions of linear systems of equations]", type = "Dissertation ({Doktor-Ingenieur})", school = "Technische Hochschule Darmstadt", address = "Darmstadt, Germany", pages = "5 + 5 + 175", day = "11", month = feb, year = "1942", bibdate = "Thu Dec 20 10:40:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.hessenberg.de/karl1.html; http://www.hessenberg.de/Karl_Hessenberg_Dissertation.pdf", acknowledgement = ack-nhfb, advisor = "Alwin Walther", language = "German", remark = "The first URL points to a discussion of Hessenberg's work on matrices, and their later use by Alston Householder, Jim Wilkinson, and many others.", } @Article{Fitch:1946:BRM, author = "Frederic B. Fitch", title = "Book Review: {{\booktitle{Mathematical Biophysics of the Central Nervous System}} by A. S. Householder, H. D. Landahl}", journal = j-J-SYMBOLIC-LOGIC, volume = "11", number = "3", pages = "99--99", month = sep, year = "1946", CODEN = "JSYLA6", ISSN = "0022-4812 (print), 1943-5886 (electronic)", ISSN-L = "0022-4812", bibdate = "Fri Dec 21 18:59:42 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/2266770", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Logic", journal-URL = "http://projecteuclid.org/euclid.jsl; http://www.jstor.org/journal/jsymboliclogic", } @Article{Skinner:1946:BRM, author = "B. F. Skinner", title = "Book Review: {{\booktitle{Mathematical Biophysics of the Central Nervous System}} by A. S. Householder, H. D. Landahl}", journal = j-AMER-J-PSYCHOLOGY, volume = "59", number = "1", pages = "167--169", month = jan, year = "1946", CODEN = "AJPCAA", ISSN = "0002-9556 (print), 1939-8298 (electronic)", ISSN-L = "0002-9556", bibdate = "Fri Dec 21 18:59:49 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/1417013", acknowledgement = ack-nhfb, fjournal = "American Journal of Psychology", } @Article{Reiner:1947:BRM, author = "John M. Reiner", title = "Book Review: {{\booktitle{Mathematical Biophysics of the Central Nervous System}} by A. S. Householder, H. D. Landahl}", journal = j-Q-REV-BIOL, volume = "22", number = "1", pages = "85--86", year = "1947", CODEN = "QRBIAK", ISSN = "0033-5770 (print), 1539-7718 (electronic)", ISSN-L = "0033-5770", bibdate = "Fri Dec 21 19:01:15 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/2813402", acknowledgement = ack-nhfb, fjournal = "Quarterly Review of Biology", } @Article{Durfee:1954:RPP, author = "W. H. Durfee", title = "Recent Publications: {{\booktitle{Principles of Numerical Analysis}}, by A. S. Householder}", journal = j-AMER-MATH-MONTHLY, volume = "61", number = "9", pages = "655--656", month = nov, year = "1954", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:38 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Forsythe:1954:RHP, author = "George E. Forsythe", title = "Review of {Householder, \booktitle{Principles of Numerical Analysis}}", journal = j-BULL-AMS, volume = "60", number = "5", pages = "488--491", month = "????", year = "1954", CODEN = "BAMOAD", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Wed Jul 01 11:07:58 2009", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://projecteuclid.org/euclid.bams/1183519065", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Goheen:1954:BRP, author = "Harry Goheen", title = "Book Review: {{\booktitle{Principles of Numerical Analysis}}, by A. S. Householder}", journal = j-ECONOMETRICA, volume = "22", number = "4", pages = "540--541", month = oct, year = "1954", CODEN = "ECMTA7", ISSN = "0012-9682", bibdate = "Fri Dec 21 19:10:49 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.jstor.org/stable/1907454", acknowledgement = ack-nhfb, fjournal = "Econometrica", journal-URL = "http://www.jstor.org/journal/econometrica", } @Article{Nelson:1954:BRP, author = "E. C. Nelson", title = "Book Review: {{\booktitle{Principles of Numerical Analysis}}. Alston S. Householder. McGraw-Hill, New York-London, 1953. 274 pp. \$6}", journal = j-SCIENCE, volume = "119", number = "3095", pages = "547--548", day = "23", month = apr, year = "1954", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.119.3095.547", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Fri Dec 21 19:06:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.jstor.org/stable/pdf/1683165.pdf", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Fletcher:1955:BRP, author = "A. Fletcher", title = "Book Review: {{\booktitle{Principles of Numerical Analysis}}, by A. S. Householder}", journal = j-MATH-GAZ, volume = "39", number = "330", pages = "333--334", year = "1955", CODEN = "MAGAAS", DOI = "https://doi.org/10.2307/3608608", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Dec 22 07:12:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www.jstor.org/stable/3608608", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", } @Article{Ostrowski:1956:VSH, author = "Alexander Ostrowski", title = "{{\"U}ber Verfahren von Steffensen und Householder zur Konvergenzverbesserung von Iterationen}. ({German}) [{On} the Method of {Steffensen} and {Householder} for convergence improvement of iterations]", journal = j-Z-ANGE-MATH-PHYS, volume = "7", number = "3", pages = "218--229", month = may, year = "1956", CODEN = "ZAMPDB", DOI = "https://doi.org/10.1007/BF02044467", ISSN = "0044-2275 (print), 1420-9039 (electronic)", ISSN-L = "0044-2275", MRclass = "65.3X", MRnumber = "0079338", MRreviewer = "A. S. Householder", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Mauro Picone zum 70. Geburtstag.", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Math{\'e}matiques et de Physique Appliqu{\'e}es", journal-URL = "http://link.springer.com/journal/33", language = "German", } @Article{Wilkinson:1960:HMS, author = "J. H. Wilkinson", title = "{Householder}'s Method for the Solution of the Algebraic Eigenproblem", journal = j-COMP-J, volume = "3", number = "1", pages = "23--27", month = apr, year = "1960", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/3.1.23", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.00", MRnumber = "MR0111131 (22 \#1995)", MRreviewer = "A. S. Householder", bibdate = "Tue Dec 4 14:47:25 MST 2012", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://comjnl.oxfordjournals.org/content/3/1.toc; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/", URL = "http://comjnl.oxfordjournals.org/content/3/1/23.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/030023.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/23.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/24.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/25.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/26.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/27.tif", abstract = "In this paper a practical procedure is described for the solution of the eigenproblem based on a method due to Householder. It is claimed that the technique described is the most satisfactory of known methods for general symmetric matrices and may have considerable advantages for unsymmetric matrices. The details of the computation for a simple numerical example are given, and also the results obtained for a $ 14 \times 14 $ matrix using the ACE computer.", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @PhdThesis{Ortega:1962:EAH, author = "James McDonough Ortega", title = "An Error Analysis of {Householder}'s Method for the Symmetric Eigenvalue Problem", type = "Thesis ({Ph.D.})", school = "Stanford University", address = "Stanford, CA, USA", pages = "106", year = "1962", MRnumber = "2613485", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://search.proquest.com/docview/302169089", acknowledgement = ack-nhfb, } @Article{Rollett:1962:LEG, author = "J. S. Rollett and J. H. Wilkinson", title = "Letter to the {Editor}: [{Givens} and {Householder} processes]", journal = j-COMP-J, volume = "4", number = "4", pages = "279--279", month = jan, year = "1962", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/4.4.279", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Thu Dec 06 12:14:55 2012", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://comjnl.oxfordjournals.org/content/4/4.toc; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/cgi/reprint/4/4/279; http://comjnl.oxfordjournals.org/content/4/4/279.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Wilkinson:1962:HMS, author = "J. H. Wilkinson", title = "{Householder}'s method for symmetric matrices", journal = j-NUM-MATH, volume = "4", number = "1", pages = "354--361", month = dec, year = "1962", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386332", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.35", MRnumber = "MR0148207 (26 \#5715)", MRreviewer = "A. S. Householder", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Blakemore:1963:HC, author = "J. W. Blakemore", title = "Historical Causality", journal = j-SCIENCE, volume = "142", number = "3595", pages = "1019--1020", month = nov, year = "1963", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.142.3595.1019-a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Dec 22 07:12:37 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Comment on \cite{Householder:1963:BRC}.", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Ortega:1963:EAH, author = "James M. Ortega", title = "An Error Analysis of {Householder}'s Method for the Symmetric Eigenvalue Problem", journal = j-NUM-MATH, volume = "5", number = "1", pages = "211--225", month = dec, year = "1963", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385892", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.40", MRnumber = "0157477", MRreviewer = "F. L. Bauer", bibdate = "Fri Nov 25 09:10:08 GMT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Businger:1965:LLS, author = "Peter A. Businger and Gene H. Golub", title = "Linear Least Squares Solutions by {Householder} Transformations", journal = j-NUM-MATH, volume = "7", number = "3", pages = "269--276", month = jun, year = "1965", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436084", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.20", MRnumber = "0176590 (31\#862)", bibdate = "Sun Jan 14 10:04:47 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp.~111--118]{Wilkinson:1971:LA}, Contribution I/8", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Householder transformation; lsq; nla; qrd; software", } @Article{Newman:1965:PBM, author = "D. J. Newman", title = "Problem 63-2: On Bounds for Matrix Eigenvalues", journal = j-SIAM-REVIEW, volume = "7", number = "1", pages = "138--138", month = "????", year = "1965", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1007018", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Dec 22 06:18:08 2018", bibsource = "http://epubs.siam.org/toc/siread/7/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "Includes solutions by A. S. Householder, Marvin D. Marcus, J. H. Van Lint, and others.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1965", } @Article{Haynsworth:1966:RPP, author = "E. V. Haynsworth", title = "Recent Publications and Presentations: {{\booktitle{The Theory of Matrices in Numerical Analysis}}, by Alston S. Householder}", journal = j-AMER-MATH-MONTHLY, volume = "73", number = "10", pages = "1142--1142", month = dec, year = "1966", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:27 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @TechReport{Mueller:1966:FSH, author = "Dennis J. Mueller", title = "{FORTRAN} subroutines for {Householder}'s method in the complex case and eigensystems of {Hermitian} matrices", number = "ANL-7231", institution = inst-ANL, address = inst-ANL:adr, pages = "31", year = "1966", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib", acknowledgement = ack-nhfb, keywords = "FORTRAN (Computer program language); Matrices.", } @Article{Mueller:1966:HMC, author = "Dennis J. Mueller", title = "{Householder}'s Method for Complex Matrices and Eigensystems of {Hermitian} Matrices", journal = j-NUM-MATH, volume = "8", number = "1", pages = "72--92", month = mar, year = "1966", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165240", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.40", MRnumber = "0192647", MRreviewer = "D. J. Evans", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; eig; nla; symmetric matrix", } @Article{Varga:1966:BRT, author = "R. S. Varga", title = "Book Review: {{\booktitle{The Theory of Matrices in Numerical Analysis}} (Alston S. Householder)}", journal = j-SIAM-REVIEW, volume = "8", number = "1", pages = "127--128", month = "????", year = "1966", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1008032", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:05:31 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/8/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1966", } @Article{Bjorck:1967:API, author = "{\AA}ke Bj{\"o}rck and Gene H. Golub", title = "{Algol} programming: Iterative Refinement of Linear Least Squares Solutions by {Householder} Transformation", journal = j-BIT, volume = "7", number = "4", pages = "322--337", month = dec, year = "1967", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01939326", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Wed Jan 4 18:52:10 MST 2006", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=7&issue=4; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=7&issue=4&spage=322", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", fjournal = "BIT (Nordisk tidskrift for informationsbehandling)", journal-URL = "http://link.springer.com/journal/10543", keywords = "nla, lsq, iterative refinement, Householder transformation", } @Book{Grau:1967:TA, author = "A. A. Grau and U. Hill and H. Langmaack", title = "Translation of {ALGOL 60}", volume = "137", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 403", year = "1967", DOI = "https://doi.org/10.1007/978-3-642-86937-2", ISBN = "3-642-86937-8 (e-book), 3-642-86939-4 (print)", ISBN-13 = "978-3-642-86937-2 (e-book), 978-3-642-86939-6 (print)", ISSN = "0072-7830 (print), 2196-9701 (electronic)", ISSN-L = "0072-7830", LCCN = "QA1-939", bibdate = "Fri Aug 21 08:18:15 MDT 2020", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Handbook for Automatic Computation", URL = "http://www.springerlink.com/content/978-3-642-86937-2", acknowledgement = ack-nhfb, remark = "Problem oriented programming languages as they have developed over the last ten years essentially serve two purposes which somewhat crudely can be described by the terms man-man communication and man-machine communication, respectively. As a carrier of information between humans, the problem oriented programming language is designed to express the essence of an algorithm in a way which is un? ambiguous and concise as well as independent of (and therefore meaning? ful without any reference to) the changing details of computing machine? ry. As a carrier of information from man to computer, the language permits the human programmer to express his computational needs in a compact way adapted to the general characteristics of computers, but freed from the burdening details of specific computer facilities. This presupposes the existence of algorithms, or programs, which permit the computer itself to transform efficiently programs written in the problem oriented language into machine programs. Thus the entire computing community profits from the work of the individual programmer. The primary purpose of the Handbook is to present a set of algorithms of broad utility from the domain of numerical mathematics written in the problem oriented language ALGOL 60. Therefore, volumes I a and I b are in a sense supplementary as they serve to introduce this language. Volume I a gives a description of the language proper and of its use for writing correct programs. Thus, volume I a primarily covers the aspect of man-man communication by means of ALGOL 60.", series-editor = "Friedrich L. Bauer and Alston S. Householder and Frank W. J. Olver and Heinz Rutishauser and Klaus Samelson and Eduard Stiefel", subject = "Mathematics; Mathematics, general; Mathematik", tableofcontents = "1. Introduction \\ 2. Principles of Algol translation \\ 2.1. Basic linguistic definitions \\ 2.2. The Backus normal form \\ 2.3. The analyzing process \\ 2.4. The method of the 'Klammergebirge' \\ 2.5. Recursive sequential methods and push down lists \\ 2.6. Example for the use of two push down lists and of precedence rules \\ 2.7. The concept of recursive translation \\ 2.8. Organization of the translator \\ 3. Languages involved in the translation process \\ 3.1. Source language \\ 3.2. Target language \\ 3.3. Meta-language for describing the translator \\ 4. Correspondence between elements of source and target language \\ 4.1. Declarations in general \\ 4.2. Declaration of variables and arrays and data storage allocation in the main program \\ 4.3. Handling of types \\ 4.4. Assignment statements \\ 4.5. Boolean expressions \\ 4.6. Conditional statements and expressions \\ 4.7. For statements \\ 4.8. Go to statement and switch declaration \\ 4.9. Procedures and dynamic storage \\ 4.10. Procedure calls and declarations \\ 5. Recursive address calculation \\ 5.1. Introduction \\ 5.2. Assumptions necessary for the use of recursive address calculation \\ 5.3. Use of recursive address calculation for one loop \\ 5.4. Nested loops \\ 5.5. Loops with more than one list element \\ 5.6. Further optimization possibilities \\ 6. Run time organization \\ 6.1. The instruction storage allocation \\ 6.2. The instruction procedure call \\ 6.3. The instruction formal procedure call \\ 6.4. The instruction normal procedure exit \\ 6.5. The instruction jump to \\ 6.6. The instruction formal procedure exit \\ 6.7. The instructions name address and name call \\ 6.8. The instruction name procedure exit \\ 7. Model translator. Description \\ 7.1. Introduction \\ 7.2. Pass 1. The preparatory pass \\ 7.3. Pass 2. The implementation of recursive address calculation \\ 7.4. Pass 3. Decomposition and production of target program \\ 7.5. Editorial functions \\ 7.6. Run time system. The target language program interpreter \\ 8. Algol 60 model translator. Formal part \\ Pass 1: preparatory pass \\ Pass 2: recursive address calculation pass \\ Pass 3: decomposition and generation pass \\ Check routine: check procedure calls and substitutions of formal parameters by actuals \\ Check routine: check agreeability of actual parameter and specification \\ Run time system: target language program interpreter \\ START TRANSLATION \\ Appendix: Correspondence matrix for actual and formal parameters", xxseries = "Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung der Anwendungsgebiete", } @Article{Reid:1967:NLS, author = "J. K. Reid", title = "A Note on the Least Squares Solution of a Band System of Linear Equations by {Householder} Reductions", journal = j-COMP-J, volume = "10", number = "2", pages = "188--189", month = aug, year = "1967", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/10.2.188", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.35", MRnumber = "0214279", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://comjnl.oxfordjournals.org/content/10/2.toc; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_02/", URL = "http://comjnl.oxfordjournals.org/content/10/2/188.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_02/100188.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_02/tiff/188.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_02/tiff/189.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Brenner:1968:GTH, author = "J. L. Brenner", title = "{Ger{\v{s}}gorin} theorems by {Householder}'s proof", journal = j-BULL-AMS, volume = "74", pages = "625--627", year = "1968", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1968-12039-7", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "65.35 (15.00)", MRnumber = "0223074", MRreviewer = "A. S. Householder", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Martin:1968:HTS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "{Householder}'s tridiagonalization of a symmetric matrix", journal = j-NUM-MATH, volume = "11", number = "3", pages = "181--195", month = mar, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161841", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRnumber = "MR1553959", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Householder transformation; nla; software; symmetric matrix; tridiagonal matrix", } @InProceedings{Powell:1968:AHM, author = "M. J. D. Powell and J. K. Reid", editor = "A. J. M. Morell", booktitle = "Proceedings of the {IFIP Congress 68}", title = "On Applying {Householder}'s Method to Linear Least Squares Problems", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "122--126", year = "1968", bibdate = "Sat Dec 22 07:23:41 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @TechReport{Powell:1968:AHT, author = "M. J. D. Powell and J. K. Reid", title = "On Applying {Householder} Transformations to Linear Least Squares Problems", number = "T.P. 322", institution = "Mathematics Branch, Theoretical Physics Division, Atomic Energy Research Establishment", address = "Harwell, UK", pages = "20", month = feb, year = "1968", bibdate = "Thu Nov 16 11:52:41 GMT 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, } @Article{Anonymous:1969:AHA, author = "Anonymous", title = "{Alston S. Householder Award}", journal = j-COMP-J, volume = "12", number = "4", pages = "392--392", month = nov, year = "1969", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/12.4.392", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:43 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/12/4.toc; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/12/4/392.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Hanson:1969:EAH, author = "Richard J. Hanson and Charles L. Lawson", title = "Extensions and Applications of the {Householder} Algorithm for Solving Linear Least Squares Problems", journal = j-MATH-COMPUT, volume = "23", number = "108", pages = "787--812", month = oct, year = "1969", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004965", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.35", MRnumber = "0258258", MRreviewer = "R. P. Tewarson", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, qrd, lsq, Householder transformation", } @InProceedings{Powell:1969:AHT, author = "M. J. D. Powell and J. K. Reid", booktitle = "{Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software}", title = "On Applying {Householder} Transformations to Linear Least Squares Problems", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "122--126", year = "1969", MRclass = "65.20", MRnumber = "0255017", bibdate = "Sat Dec 22 07:23:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, mynote = "My copy has page nos A34-A38! Above chosen by consensus!", } @Article{Schmid:1969:BRF, author = "E. Schmid", title = "Book Review: {F. L. Bauer and A. S. Householder and F. J. Olver and H. Rutishauser and K. Samelson and E. Stiefel, \booktitle{Handbook for Automatic computation, Vol. I Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung der Anwendungsgebiete}, Band 135}", journal = j-COMPUTING, volume = "4", number = "3", pages = "276--276", month = sep, year = "1969", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Wed Nov 15 17:04:26 2000", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/computing.bib", acknowledgement = ack-ec, fjournal = "Computing", journal-URL = "http://link.springer.com/journal/607", } @Article{Baker:1970:VCA, author = "J. Baker and V. Lewicke", title = "A variation of coordinates adjustment using {Householder} transformations", journal = j-BULL-GEODESIQUE, volume = "97", number = "1", pages = "225--228", month = sep, year = "1970", CODEN = "BGDQAG", DOI = "https://doi.org/10.1007/bf02522138", ISSN = "0007-4632", ISSN-L = "0007-4632", bibdate = "Fri Dec 21 14:35:47 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Bulletin G\'eod\'esique (Toulouse)", journal-URL = "http://link.springer.com/journal/190", } @Misc{Mertz:1970:IAS, author = "Richard R. Mertz", title = "Interview with {Alston Scott Householder}", pages = "30", day = "20", month = jul, year = "1970", bibdate = "Fri Dec 21 08:42:04 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://amhistory.si.edu/archives/AC0196_hous700720.pdf; https://dl.acm.org/citation.cfm?id=1234040.1234087", abstract = "Born in 1904, Householder studied philosophy and mathematics as an undergraduate at Northwestern University. He wrote his 1927 M.A. thesis on A.N. Whitehead at Cornell. He eventually abandoned plans to become a minister and decided to teach mathematics instead. He completed his doctoral work at the University of Chicago in 1937, teaching concurrently at Northwestern and then at Washburn College. After finishing a dissertation on the calculus of variations, he did postgraduate work at Chicago in biophysics under Nicholas Rashevsky and then joined the biophysics department. Householder's studies of the central nervous system were interrupted in 1944, when he agreed to go to Washington to advise on the training of gun sight operators. After World War II, he continued this work at the Naval Research Laboratory and eventually moved to Oak Ridge to work on reactor criticality problems. By 1948, he was the head of a separate Mathematics Panel there. Early the previous year Householder had attended the unveiling of the Mark I at Harvard and became convinced that Oak Ridge needed a larger computing facility. After considering bids from Raytheon, Reeves Instrument, Eckert and Mauchly, GE (for a copy of the Mark IV) and a contractor willing to copy the Standards Eastern Automatic Computer (SEAC), Oak Ridge decided to buy a copy of the Institute for Advanced Study (IAS) machine. This machine, the Oak Ridge Automatic Computer and Logical Engine (ORACLE), was made at Argonne under the supervision of the engineer Chuan Chu. While it was being built, mathematicians at Oak Ridge used CPCs, the Mark I, and the SEAC. The ORACLE first solved eigenvalue problems at Argonne in the summer of 1953 and was moved to Oak Ridge in February 1954. Demand grew rapidly, and mathematics majors were hired and trained as programmers. By 1956 the ORACLE was becoming obsolete. It was replaced by an IBM 704 shared with the gaseous diffusion plant and then by an IBM 1604A. People mentioned several times in this interview are Nicholas Rashevsky, John von Neumann, and Gale Young.", acknowledgement = ack-do, remark = "Smithsonian National Museum of American History, Lemelson Center for the Study of Invention and Innovation: Computer Oral History Collection, 1969--1973, 1977", } @Article{Schmid:1970:BRF, author = "E. Schmid", title = "Book Review: {F. L. Bauer and A. S. Householder and F. W. J. Oliver and H. Rutishauser and K. Samelson and E. Stiefel (Hg.), \booktitle{Handbook for Automatic Computation, Vol. I, Part B} (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung der Anwendungsgebiete: Band 137)}", journal = j-COMPUTING, volume = "6", number = "1--2", pages = "214--214", month = mar, year = "1970", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Wed Nov 15 17:04:26 2000", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/computing.bib", acknowledgement = ack-ec, fjournal = "Computing", journal-URL = "http://link.springer.com/journal/607", } @InCollection{Martin:1971:HTS, author = "R. S. Martin and C. H. Reinsch and J. H. Wilkinson", title = "{Householder}'s tridiagonalization of a symmetric matrix", crossref = "Wilkinson:1971:LA", chapter = "13", pages = "212--226", year = "1971", DOI = "https://doi.org/10.1007/978-3-662-39778-7_13", bibdate = "Tue May 08 14:20:56 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", } @Article{P:1971:BRH, author = "B. N. P.", title = "Book Review: {A. S. Householder, \booktitle{KWIC Index for Matrices in Numerical Analysis, Volume I: Primary Authors A--J}, viii + 124 pp., \booktitle{Volume II: Primary Authors K--Z}, vii + 151 pp., 1969, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 28 cm. Available from National Technical Information Service, U. S. Department of Commerce, Springfield, Virginia 22151. Price: Printed copy \$3.00, Microfiche \$0.65, each volume}", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "628--628", month = jul, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99712-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:34:55 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2; http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2/S0025-5718-71-99712-2.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "Perhaps B. N. P. is Beresford N. Parlett.", } @Article{Frankel:1972:BRB, author = "A. Frankel", title = "Book Review: {{\booktitle{Bigradients}} (Alston S. Householder)}", journal = j-SIAM-REVIEW, volume = "14", number = "3", pages = "495--496", month = "????", year = "1972", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1014080", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:41 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/14/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1972", } @Article{Greville:1972:BRB, author = "T. N. E. Greville", title = "Book Review: {{\booktitle{Bigradients}} (Alston S. Householder)}", journal = j-SIAM-REVIEW, volume = "14", number = "1", pages = "171--172", month = "????", year = "1972", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1014013", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:35 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/14/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1972", } @Article{Rheinboldt:1972:BRH, author = "W. Rheinboldt", title = "Book Review: {A. S. Householder, \booktitle{KWIC Index for the Numerical Treatment of Nonlinear Equations}, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 1970, vii + 129 pp., 28 cm. Available from U. S. Department of Commerce, Springfield, Va. 22151. Price: printed copy \$3.00; microfiche \$0.65.}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "287--303", month = jan, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-72-99110-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7/S0025-5718-72-99110-7.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1973:AHA, author = "Anonymous", title = "{Alston S. Householder Award}", journal = j-NUM-MATH, volume = "21", number = "1", pages = "i", year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436190", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "DML", MRnumber = "1553984", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{S:1973:AHA, author = "{H.S.}", title = "{Alston S. Householder Award}", journal = j-NUM-MATH, volume = "21", number = "1", pages = "i--i", month = feb, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436190", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jan 17 13:25:13 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{I:1975:BRA, author = "E. I.", title = "Book Review: {Alston S. Householder. \booktitle{Principles of Numerical Analysis}, Dover, New York, 1974, x + 274 pp., 21 cm. Price \$4.00 (paperbound)}", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1152--1165", month = oct, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-75-99674-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X/S0025-5718-75-99674-X.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tsao:1975:NIH, author = "Nai Kuan Tsao", title = "A Note on Implementing the {Householder} Transformation", journal = j-SIAM-J-NUMER-ANAL, volume = "12", number = "1", pages = "53--58", month = mar, year = "1975", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0712005", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65G05", MRnumber = "0356484", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Wilkinson:1975:AHA, author = "J. H. Wilkinson", title = "{Alston S. Householder} award", journal = j-LINEAR-ALGEBRA-APPL, volume = "11", number = "1", pages = "1", month = "????", year = "1975", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Tue Feb 16 18:49:00 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379575901111", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Book{Willoughby:1975:CAH, editor = "Ralph A. Willoughby", title = "Collection of articles honoring {Alston S. Householder}", publisher = pub-ACM, address = pub-ACM:adr, pages = "1--73", year = "1975", MRclass = "65-06 (01A70)", MRnumber = "0351024", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Special issue of Comm. ACM {\bf 18} (1975), no. 1, pp. 3--58.", acknowledgement = ack-nhfb, } @Article{Willoughby:1975:SIH, author = "Ralph A. Willoughby", title = "Special Issue Honoring {Alston S. Householder} --- {Editor}'s Foreword", journal = j-CACM, volume = "18", number = "1", pages = "3--??", year = "1975", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 07:30:16 MST 2001", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#Willoughby75; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/cacm1970.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Willoughby75", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Willoughby75", } @Article{Danloy:1976:CSH, author = "B. Danloy", title = "On the Choice of Signs for {Householder}'s Matrices", journal = j-J-COMPUT-APPL-MATH, volume = "2", number = "1", pages = "67--69", month = "????", year = "1976", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0771-050X(76)90042-5", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F15", MRnumber = "0415999", MRreviewer = "Petr Liebl", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0771050X76900425", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Decell:1976:OLC, author = "Henry P. {Decell, Jr.} and W. G. {Smiley III}", title = "Optimal linear combinations using {Householder} transformations", journal = j-COMMUN-STAT-THEORY-METH, volume = "5", number = "12", pages = "1153--1162", year = "1976", CODEN = "CSTMDC", DOI = "https://doi.org/10.1080/03610927608827432", ISSN = "0361-0926 (print), 1532-415X (electronic)", ISSN-L = "0361-0926", MRclass = "62H30", MRnumber = "0433729", MRreviewer = "C. W. Chen", bibdate = "Tue Jan 26 18:55:37 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/communstattheorymeth1970.bib", note = "Special issue on remote sensing", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Theory and Methods", journal-URL = "http://www.tandfonline.com/loi/lsta20", } @Article{Kielbasinski:1976:NAS, author = "Andrzej Kie{\l}basi{\'n}ski and Krystyna Zi{\k{e}}tak", title = "Numerical analysis of standard problems with a unitary {Householder} transformation", journal = "Mat. Stos. (111)", volume = "8", pages = "67--80", year = "1976", ISSN = "0137-2890", ISSN-L = "0137-2890", MRclass = "65F99", MRnumber = "0478582", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana", } @Article{Majchrowska:1976:NAO, author = "Jana Majchrowska and Alicja Smoktunowicz", title = "Numerical analysis of the {Ortega--Householder} algorithm in the complex domain", journal = "Mat. Stos. (111)", volume = "8", pages = "55--66", year = "1976", ISSN = "0137-2890", ISSN-L = "0137-2890", MRclass = "65F30", MRnumber = "0478580", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana", } @Article{Anonymous:1977:AHAa, author = "Anonymous", title = "{Alston S. Householder Award (1977)} --- Final Notice", journal = j-LINEAR-ALGEBRA-APPL, volume = "17", number = "3", pages = "189", month = "????", year = "1977", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Tue Feb 16 18:49:54 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/002437957790060X", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Anonymous:1977:AHAb, author = "Anonymous", title = "{Alston S. Householder award} (1977) --- final notice", journal = j-NUM-MATH, volume = "28", number = "1", pages = "120--120", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01403861", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "DML", MRnumber = "1553990", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", xxauthor = "{JHW}", } @Article{Kydes:1977:HMD, author = "A. S. Kydes and R. P. Tewarson", title = "{Householder} modification for damped least squares solutions", journal = j-J-INST-MATH-APPL, volume = "19", number = "4", pages = "407--423", year = "1977", CODEN = "JMTAA8", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65F20", MRnumber = "0461870 (57 \#1853)", MRreviewer = "Peter Lancaster", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", ZMnumber = "0361.65030", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Anonymous:1978:AHA, author = "Anonymous", title = "The {Alston S. Householder} award", journal = j-LINEAR-ALGEBRA-APPL, volume = "21", number = "1", pages = "1", month = jul, year = "1978", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Tue Feb 16 18:50:23 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379587901959", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Moler:1978:HFA, author = "Cleve B. Moler and G. W. Stewart", title = "On the {Householder--Fox} algorithm for decomposing a projection", journal = j-J-COMPUT-PHYS, volume = "28", number = "1", pages = "82--91", month = jul, year = "1978", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(78)90048-7", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65F25", MRnumber = "500613", MRreviewer = "A. S. Householder", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999178900487", acknowledgement = ack-nhfb, classcodes = "A0210 (Algebra, set theory, and graph theory); A0270 (Computational techniques); C4140 (Linear algebra)", corpsource = "Univ. of New Mexico, Albuquerque, NM, USA", fjournal = "Journal of Computational Physics", GWS-number = "J36", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "approximate projection; Cholesky decomposition; Householder--Fox algorithm; matrix algebra; orthonormal basis for; projection range; rounding error", treatment = "T Theoretical or Mathematical", } @Article{Wilkinson:1978:AHA, author = "J. H. Wilkinson", title = "The {Alston S. Householder Award}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "463--463", month = apr, year = "1978", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01432882", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRnumber = "MR1553992", bibdate = "Sun Mar 18 11:40:16 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", remark = "1977 Prize awarded to Daniel D. Warner (advisor W. Gragg), ``Hermite Interpolation with Rational Functions'', University of California, San Diego.", } @Article{Kaufman:1979:ADH, author = "L. Kaufman", title = "Application of Dense {Householder} Transformation to a Sparse Matrix", journal = j-TOMS, volume = "5", number = "4", pages = "442--450", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355860", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:08 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "Householder transformation; nla; qrd; sparse", } @Article{Stewart:1979:PH, author = "G. W. Stewart", title = "Preface: {A. S. Householder}", journal = j-LINEAR-ALGEBRA-APPL, volume = "28", number = "??", pages = "1--3 + 1", month = dec, year = "1979", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(79)90112-5", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "01A70", MRnumber = "549413 (82g:01071)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/linala1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379579901125", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Anonymous:1980:AHA, author = "Anonymous", title = "{Alston S. Householder award IV (1981)}", journal = j-LINEAR-ALGEBRA-APPL, volume = "32", number = "??", pages = "1--1", month = aug, year = "1980", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(80)90002-6", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Wed Nov 30 13:48:32 MST 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379580900026", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Meleshko:1981:SMP, author = "V. I. Meleshko and O. V. Serebryakova and Vu Kuok Fong", title = "A stable method for pseudoinversion using the {Householder} transform", journal = "Dokl. Akad. Nauk Ukrain. SSR Ser. A", volume = "??", number = "7", pages = "68--70", year = "1981", ISSN = "0201-8446", ISSN-L = "0201-8446", MRclass = "65F20 (15A09)", MRnumber = "628812", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Akademiya Nauk Ukrainsko\u{\i} SSR. Doklady. Seriya A. Fiziko-Matematicheskie i Tekhnicheskie Nauki", } @Article{Tan:1981:SRM, author = "Ling Tan", title = "Skew-reflection matrix and the generalization of {Householder} transformation", journal = "Math. Numer. Sinica", volume = "3", number = "1", pages = "66--71", year = "1981", ISSN = "0254-7791", ISSN-L = "0254-7791", MRclass = "65F05 (15A99)", MRnumber = "645691", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Tanaka:1982:GMH, author = "Teruo Tanaka", title = "{Givens}' method and {Householder}'s method for solution of sparse least squares problem", journal = j-PROC-INST-STATIST-MATH, volume = "30", number = "2", pages = "77--93 (1983)", year = "1982", ISSN = "0912-6112", ISSN-L = "0912-6112", MRclass = "65F50", MRnumber = "742918", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Institute of Statistical Mathematics", } @Article{Anonymous:1983:AAH, author = "Anonymous", title = "Announcement: {Alston S. Householder Award V (1984)}", journal = j-NUM-MATH, volume = "42", number = "2", pages = "258--258", month = nov, year = "1983", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395315", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 26 18:11:57 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gu:1983:DAS, author = "An Hai Gu", title = "A discussion of the article: {``Skew reflection matrix and the generalization of the Householder transformation'' [Math. Numer. Sinica {\bf 3} (1981), no. 1, 66--71; MR0645691 (83b:65026)] by Ling Tan} and the transformation function $ \varphi $", journal = "J. Northeast Inst. Tech.", volume = "??", number = "3", pages = "15--20", year = "1983", MRclass = "65F30", MRnumber = "744307", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Northeast Institute of Technology. Dongbei Gong Xueyuan Xuebao", } @InCollection{Herrmann:1983:HVB, author = "Dietmar Herrmann", booktitle = "{Numerische Mathematik --- 40 BASIC-Programme}", title = "{Householder-Verfahren mit Bisektion}. ({German}) [{Householder} method with bisection]", chapter = "31", publisher = "Vieweg + Teubner Verlag", address = "Braunschweig, West Germany", pages = "96--101", year = "1983", DOI = "https://doi.org/10.1007/978-3-322-96321-5_31", bibdate = "Fri Dec 21 14:44:56 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, language = "German", } @Article{Tanaka:1983:GMH, author = "Teruo Tanaka", title = "{Givens}' method and {Householder}'s method for the solution of sparse least squares problems", journal = j-PROC-INST-STATIST-MATH, volume = "30", year = "1983", ISSN = "0563-685X", ISSN-L = "0563-685X", bibdate = "Tue Oct 24 08:15:40 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", ZMnumber = "0507.65010", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Institute of Statistical Mathematics", keywords = "65F20,65F50", language = "Japanese", subject-dates = "Wallace Givens (14 December 1910--5 March 1993)", ZBmath = "3800861", } @Article{Xue:1983:GHT, author = "Yan Cai Xue", title = "Generalized {Householder} transformation", journal = j-J-NUMER-METHODS-COMPUT-APPL, volume = "4", number = "4", pages = "224--228", year = "1983", ISSN = "1000-3266", ISSN-L = "1000-3266", MRclass = "65F05", MRnumber = "746884", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal on Numerical Methods and Computer Applications. Shuzhi Jisuan yu Jisuanji Yingyong", } @Article{Cuppen:1984:UTP, author = "J. J. M. Cuppen", title = "On Updating Triangular Products of {Householder} Reflections", journal = j-NUM-MATH, volume = "45", number = "3", pages = "403--409", month = dec, year = "1984", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01391416", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "769248 (86j:65043)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Maths., Amsterdam Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary elementary orthogonal transformation; arbitrary reflection; Householder reflections; matrix algebra; plane rotation; subsequent indices; triangular products; updating", treatment = "T Theoretical or Mathematical", } @TechReport{Gersch:1984:BAT, author = "W. Gersch", title = "{Bayesian} analysis of time series {I}: {Householder} transformation analyses", type = "Report", number = "UCID-20271", institution = "Lawrence Livermore National Laboratory", address = "Livermore, CA, USA", day = "1", month = nov, year = "1984", bibdate = "Fri Dec 21 08:08:28 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/6188630-bayesian-analysis-time-series-householder-transformation-analyses", abstract = "A smoothness priors-Bayesian analysis method for the analysis of stationary and nonstationary time series is shown. The method is applied to the estimation of the mean value function of a nonstationary time series, the estimation of the impulse response from not necessarily stationary data, the estimation of the power spectral density from a short duration time series and the estimation of the transfer function between input and output data, for short segments of stationary time series. Each problem is cast as an ordinary least squares problem with particular stochastic constraints. The stochastic constraints have an interpretation as a prior distribution on the unknown model parameters. The critical computation of the likelihood of the Bayesian model is done using a Householder transformation least squares algorithm.", acknowledgement = ack-nhfb, } @TechReport{Modi:1984:IFD, author = "J. Modi and G. Bowgen", title = "Implementation of {$ Q R $} Factorization on the {DAP} Using {Householder} Transformations", number = "CUED/F-CAMS/TR.241", institution = "Cambridge University Engineering Department", address = "Cambridge, UK", year = "1984", bibdate = "Sat Dec 22 07:24:01 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Bowgen:1985:IFD, author = "G. S. J. Bowgen and J. J. Modi", title = "Implementation of {$ Q R $} factorization on the {DAP} using {Householder} transformations", journal = j-COMP-PHYS-COMM, volume = "37", number = "1--3", pages = "167--170", month = jul, year = "1985", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(85)90149-3", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65W05 (65F30)", MRnumber = "817062", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465585901493", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @InProceedings{Rader:1985:HHT, author = "C. M. Rader and A. O. Steinhardt", booktitle = "{Nineteeth Asilomar Conference on Circuits, Systems and Computers, 1985}", title = "Hyperbolic {Householder} Transformations and the Solution of Least Squares Equations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "436--440", year = "1985", DOI = "https://doi.org/10.1109/ACSSC.1985.671498", ISBN = "0-8186-0729-7", ISBN-13 = "978-0-8186-0729-5", ISSN = "1058-6393", ISSN-L = "1058-6393", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=671498", acknowledgement = ack-nhfb, } @Article{Anonymous:1986:AAH, author = "Anonymous", title = "Announcement: {Alston S. Householder Award VI} (1987)", journal = j-NUM-MATH, volume = "49", number = "4", pages = "459--459", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{George:1986:ORS, author = "Alan George and Esmond Ng", title = "Orthogonal reduction of sparse matrices to upper triangular form using {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "460--472", month = apr, year = "1986", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0907031", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "833915 (87d:65050)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", URL = "https://www.osti.gov/biblio/5480886-orthogonal-reduction-sparse-matrices-upper-triangular-form-using-householder-transformations", abstract = "In this paper the authors consider the problem of predicting where fill-in occurs in the orthogonal decomposition of sparse matrices using Householder transformations. They show that a static data structure can be used throughout the numerical computation, and that the Householder transformations can be saved explicitly in a compact format.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Householder transformations; least squares approximations; numerical computation; orthogonal reduction; sparse matrices; static data structure; upper triangular form", onlinedate = "April 1986", treatment = "T Theoretical or Mathematical", } @TechReport{Hindmarsh:1986:NHI, author = "A. C. Hindmarsh and H. F. Walker", title = "Note on a {Householder} implementation of the {GMRES} method", type = "Report", number = "UCID-20899", institution = "Lawrence Livermore National Laboratory", address = "Livermore, CA, USA", day = "1", month = oct, year = "1986", bibdate = "Fri Dec 21 08:02:02 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/7008035-note-householder-implementation-gmres-method", abstract = "A GMRES method of solution of a linear system, Ax = b, is given. The implementation uses Householder transformations which include normalization of the Krylov vectors. This method is compared to a technique using the Gram--Schmidt process. The tests indicate that the Householder version of GMRES is susceptible to numerical error.", acknowledgement = ack-nhfb, } @InProceedings{Rader:1986:HHTa, author = "C. Rader and A. Steinhardt", booktitle = "{ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Hyperbolic {Householder} transformations, definition and application", volume = "11", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2511--2514", year = "1986", DOI = "https://doi.org/10.1109/ICASSP.1986.1168683", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1168683", acknowledgement = ack-nhfb, } @Article{Rader:1986:HHTb, author = "C. M. Rader and A. O. Steinhardt", title = "Hyperbolic {Householder} transformations", journal = j-IEEE-TRANS-ACOUST-SPEECH, volume = "34", number = "6", pages = "1589--1602", year = "1986", CODEN = "IETABA", DOI = "https://doi.org/10.1109/TASSP.1986.1164998", ISSN = "0096-3518", ISSN-L = "0096-3518", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1164998", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29", xxvolume = "ASSP-34", } @TechReport{Armstrong:1987:OHTa, author = "Jim Armstrong", title = "Optimization of {Householder} Transformations. {Part I}. {Linear} Least Squares", institution = "CONVEX Computer Corporation", address = "701 N. Plano Road, Richardson, TX 75081, USA", pages = "495--498", year = "1987", bibdate = "Sat Dec 22 07:24:07 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Armstrong:1987:OHTb, author = "Jimn Armstrong", booktitle = "{Proceedings of 1987 International Conference on Parallel Processing}", title = "Optimization of {Householder} Transformations. {Part I}. {Linear} Least Squares", publisher = "Penn State University Press", address = "University Park, PA, USA", pages = "495--498", year = "1987", bibdate = "Sat Dec 22 07:24:07 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Bischof:1987:RPH, author = "Christian H. Bischof and Charles F. {Van Loan}", title = "The {$ W Y $} representation for products of {Householder} matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S2--S13", month = jan, year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908009", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "873948 (88f:65070)", MRreviewer = "Michel Cosnard", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", URL = "https://www.osti.gov/biblio/6535818-wy-representation-products-householder-matrices", ZMnumber = "628.65033", abstract = "A new way to represent products of Householder matrices is given that makes a typical Householder matrix algorithm rich in matrix--matrix multiplication. This is very desirable in that matrix--matrix multiplication is the operation of choice for an increasing number of important high performance computers. The authors tested the new representation by using it to compute the QR factorization on the FPS-164/MAX. Preliminary results indicate that it is a very efficient way to organize Householder computations.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "FPS-164/MAX; Householder matrix products; matrix algebra; matrix-matrix multiplication; parallel algorithms; QR factorization; supercomputers; WY representation", mynote = "Cornell TR 85-681, December 1985.", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", xxpages = "S1--S13", } @Article{Browne:1987:YHA, author = "M. W. Browne", title = "The {Young--Householder} algorithm and the least squares multidimensional scaling of squared distances", journal = "Journal of Classification", volume = "4", number = "2", pages = "175--190", month = sep, year = "1987", DOI = "https://doi.org/10.1007/BF01896985", ISSN = "0176-4268 (print), 1432-1343 (electronic)", ISSN-L = "0176-4268", MRclass = "62H25 (65U05)", MRnumber = "921739", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib", acknowledgement = ack-nhfb, ajournal = "J. Classification", fjournal = "Journal of Classification", } @InProceedings{Fairman:1987:CBR, author = "F. W. Fairman and J. A. {De Abreu-Garc{\'\i}a}", booktitle = "26th IEEE Conference on Decision and Control", title = "Computing balanced realizations of transfer function matrics using {Householder} transformations", volume = "26", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "471--475", year = "1987", DOI = "https://doi.org/10.1109/CDC.1987.272864", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4049311", acknowledgement = ack-nhfb, } @Article{George:1987:HRV, author = "Alan George and Joseph W. H. Liu", title = "{Householder} Reflections versus {Givens} Rotations in Sparse Orthogonal Decomposition", journal = j-LINEAR-ALGEBRA-APPL, volume = "88/89", number = "??", pages = "223--238", year = "1987", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(87)90111-X", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F25 (65F50 65W05)", MRnumber = "882449 (88d:65074)", MRreviewer = "David R. Kincaid", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", keywords = "nla, lsq, qrd, sparse", } @Article{Kaufman:1987:GHT, author = "Linda Kaufman", title = "The Generalized {Householder} Transformation and Sparse Matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "90", number = "??", pages = "221--234", month = may, year = "1987", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(87)90314-4", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F05 (65F50)", MRnumber = "884119 (88d:65055)", MRreviewer = "R. P. Tewarson", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379587903144", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", keywords = "nla, sparse, Householder transformation, qrd", } @TechReport{Pothen:1987:DOF, author = "A. Pothen and P. Raghavan", title = "Distributed Orthogonal Factorization: {Givens} and {Householder} Algorithms", number = "CS-87-24", institution = "Department of Computer Science, Pennsylvania State University", address = "State College, PA, USA", year = "1987", bibdate = "Sat Dec 22 07:24:07 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Wang:1987:RSB, author = "Shou Gen Wang", title = "Reduction of a symmetric band matrix to tridiagonal form by {Householder} transformations", journal = "Comm. Appl. Math. Comput.", volume = "1", number = "1", pages = "89--91", year = "1987", ISSN = "1006-6330", ISSN-L = "1006-6330", MRclass = "65F30 (15A23)", MRnumber = "885382", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Communication on Applied Mathematics and Computation. Yingyong Shuxue yu Jisuan Shuxue Xuebao", } @Article{Amirouche:1988:RHT, author = "F. M. L. Amirouche and Tongyi Jia and Sitki K. Ider", title = "A recursive {Householder} transformation for complex dynamical systems with constraints", journal = j-J-APPL-MECH, volume = "55", number = "3", pages = "729--734", year = "1988", CODEN = "JAMCAV", DOI = "https://doi.org/10.1115/1.3125857", ISSN = "0021-8936 (print), 1528-9036 (electronic)", ISSN-L = "0021-8936", MRclass = "70-08 (70B15 70E99)", MRnumber = "962470", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "American Society of Mechanical Engineers. Transactions of the ASME. Journal of Applied Mechanics", journal-URL = "http://appliedmechanics.asmedigitalcollection.asme.org/issues.aspx", } @Article{Chang:1988:PHTa, author = "H. Y. Chang and S. Utku and M. Salama and D. Rapp", title = "A parallel {Householder} tridiagonalization stratagem using scattered row decomposition", journal = j-INT-J-NUMER-METHODS-ENG, volume = "26", number = "4", pages = "857--873", year = "1988", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.1620260408", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65W05 (65F15 68Q10)", MRnumber = "933692", MRreviewer = "Yves Robert", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", } @Article{Chang:1988:PHTb, author = "H. Y. Chang and S. Utku and M. Salama and D. Rapp", title = "A parallel {Householder} tridiagonalization stratagem using scattered square decomposition", journal = j-PARALLEL-COMPUTING, volume = "6", number = "3", pages = "297--311", month = mar, year = "1988", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(88)90071-3", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65W05 (65F05)", MRnumber = "928315 (88m:65216)", bibdate = "Mon Apr 14 12:07:40 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4290 (Other computer theory)", corpsource = "Dept. of Civil and Archit. Eng., Miami Univ., Coral Gables, FL, USA", fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191/", keywords = "concurrent machines; data assignment; floating-point arithmetic; linear algebra; matrix; operation; parallel algorithms; parallel Householder tridiagonalization stratagem; real symmetric full; scattered; square decomposition", treatment = "T Theoretical or Mathematical", } @InProceedings{Dubrulle:1988:BHA, author = "A. A. Dubrulle", title = "On block {Householder} algorithms for the reduction of a matrix to {Hessenberg} form", crossref = "Martin:1988:SPN", volume = "2", pages = "129--140", year = "1988", DOI = "https://doi.org/10.1109/SUPERC.1988.74140", bibdate = "Thu Apr 16 07:30:32 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=74140", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "IBM Sci. Center, Palo Alto, CA, USA", keywords = "Bischof-Van Loan expression; block Householder algorithms; eigenvalues and eigenfunctions; elementary matrices; Hessenberg eigenvalue problem; Hessenberg form; IBM 3090 VG; LAPACK; mathematics computing; matrix; performance measurements; QR", sponsororg = "IEEE; ACM SIGARCH", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rader:1988:HHTa, author = "Charles M. Rader and Allan O. Steinhardt", title = "Hyperbolic {Householder} transforms", journal = j-SIAM-J-MAT-ANA-APPL, volume = "9", number = "2", pages = "269--290", month = "????", year = "1988", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0609022", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F25", MRnumber = "938561 (89f:65047)", MRreviewer = "John Todd", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", note = "SIAM Conference on Linear Algebra in Signals, Systems, and Control (Boston, Mass., 1986).", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @InProceedings{Rader:1988:HHTb, author = "Charles M. Rader and Allan O. Steinhardt", booktitle = "Linear algebra in signals, systems, and control ({Boston, MA}, 1986)", title = "Hyperbolic {Householder} transforms", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "186--208", year = "1988", MRclass = "65F20 (15A23 93B25)", MRnumber = "969793", MRreviewer = "A. Bunse-Gerstner", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Steinhardt:1988:HTS, author = "A. O. Steinhardt", title = "{Householder} transforms in signal processing", journal = j-IEEE-ASSP-MAG, volume = "5", number = "3", pages = "4--12", year = "1988", DOI = "https://doi.org/10.1109/53.9259", ISSN = "0740-7467 (print), 1558-1284 (electronic)", ISSN-L = "0740-7467", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9259", acknowledgement = ack-nhfb, fjournal = "IEEE ASSP magazine: a publication of the IEEE Acoustics, Speech, and Signal Processing Society", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=53", } @TechReport{Walker:1988:ESH, author = "H. F. Walker", title = "Experiments with the stable {Householder} implementation of the {GMRES} method in stiff {ODE} solving", type = "Report", number = "UCID-21343", institution = "Lawrence Livermore National Laboratory", address = "Livermore, CA, USA", day = "1", month = mar, year = "1988", bibdate = "Fri Dec 21 07:57:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/5288704-experiments-stable-householder-implementation-gmres-method-stiff-ode-solving", abstract = "In this note we report on experiments aimed at assessing the relative effectiveness of the stable Householder implementation of GMRES in stiff ODE solving. To carry out these experiments, we incorporated the stable Householder implementation of GMRES in LSODPK, the experimental reduced-storage stiff ODE solver, by replacing the existing subroutine SPIGMR, which carries out the Gram--Schmidt implementation of GMRES, with one using the stable Householder implementation. We then made a number of runs on test problems 1 and 2. These problems are respectively the 2-species 2-dimensional diurnal kinetics-transport problem and the multi-species predator-prey food web problem. We chose problem and algorithm parameters to be the same as those used in the tests, with a few minor exceptions. Both problems are time-dependent PDE problems, and we used a range of spatial discretizations for each problem (as well as a range of the number of species in test problem 2) so that the resulting ODE systems varied in size from moderate to fairly large. We also made a number of runs on a third test problem developed by Peter Brown and Alan Hindmarsh at LLNL. This problem comes from a system of reaction-diffusion equations and gives an ODE with very ill-conditioned Jacobian for large times and step-sizes.", acknowledgement = ack-nhfb, } @Article{Walker:1988:IGM, author = "Homer F. Walker", title = "Implementation of the {GMRES} method using {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "152--163", month = jan, year = "1988", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0909010", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "922869 (88m:65056)", MRreviewer = "S. Galanis", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", URL = "https://www.osti.gov/biblio/5458302-implementation-gmres-method-using-householder-transformations", abstract = "The standard implementation of the GMRES method for solving large nonsymmetric linear systems involves a Gram--Schmidt process which is a potential source of significant numerical error. An alternative implementation is outlined here in which orthogonalization by Householder transformations replaces the Gram--Schmidt process. This implementation requires slightly less storage but somewhat more arithmetic than the standard one; however, numerical experiments suggest that it is more stable, especially as the limits of residual reduction are reached. The extra arithmetic required may be less significant when products of the coefficient matrix with vectors are expensive or on vector and, in particular, parallel machines.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Utah State Univ., Logan, UT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; generalised minimal residual method; GMRES method implementation; Gram--Schmidt process; Householder transformations; iterative methods; large nonsymmetric linear systems", onlinedate = "January 1988", treatment = "T Theoretical or Mathematical", } @InProceedings{Bojanczyk:1989:SHHa, author = "A. W. Bojanczyk and A. O. Steinhardt", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing}", title = "Stabilized hyperbolic {Householder} transformations", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1278--1281", year = "1989", DOI = "https://doi.org/10.1109/ICASSP.1989.266669", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=266669", acknowledgement = ack-nhfb, } @Article{Bojanczyk:1989:SHHb, author = "Adam W. Boja{\'n}czyk and Allan O. Steinhardt", title = "Stabilized hyperbolic {Householder} transformations", journal = j-IEEE-TRANS-ACOUST-SPEECH, volume = "37", number = "8", pages = "1286--1288", year = "1989", CODEN = "IETABA", DOI = "https://doi.org/10.1109/29.31277", ISSN = "0096-3518", ISSN-L = "0096-3518", MRclass = "65F30", MRnumber = "1006096", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=31277", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29", } @TechReport{Cybenko:1989:HHA, author = "George Cybenko and Michael Berry", title = "Hyperbolic {Householder} algorithms for factoring structured matrices", type = "Technical Report", number = "CSRD 877", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "29", month = may, year = "1989", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "We derive efficient algorithms for computing triangular decompositions of Hermitian matrices with small displacement rank using hyperbolic Householder matrices. These algorithms can be both vectorized and parallelized. Implementations along with performance results on an Alliant FX/80, Cray X-MP/48, and Cray 2 are discussed. The use of Householder type transformations is shown to improve performance for problems with nontrivial displacement ranks. The general algorithm reduces to, in special cases, the well known Schur algorithm for factoring Toeplitz matrices and Elden's algorithm for efficient solution of least squares problems arising in the regularization of some ill-posed integral equations. It gives a Householder formulation to the class of algorithms based on hyperbolic rotations studied by Kailath, Lev-Ari, Chun and their colleagues for Hermitian matrices with small displacement structure.", acknowledgement = ack-nhfb, annote = "Submitted for publication to SIAM J. on Matrix Analysis and Applications, May 1989 Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy. Supported in part by AT\&T Corporation. Supported in part by the Office of Naval Research.", keywords = "Toeplitz matrices", } @Article{Gu:1989:CGC, author = "Chong Gu and Douglas M. Bates and Ze Hua Chen and Grace Wahba", title = "The computation of generalized cross-validation functions through {Householder} tridiagonalization with applications to the fitting of interaction spline models", journal = j-SIAM-J-MAT-ANA-APPL, volume = "10", number = "4", pages = "457--480", month = "????", year = "1989", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0610033", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F30 (41A65 62J07 65U05)", MRnumber = "1016796 (90m:65084)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Pothen:1989:DOF, author = "Alex Pothen and Padma Raghavan", title = "Distributed orthogonal factorization: {Givens} and {Householder} algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1113--1134", month = nov, year = "1989", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0910067", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F30", MRnumber = "1025478 (90j:65064)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithms; arithmetic complexity; communication complexities; computational complexity; distributed memory multiprocessors; distributed processing; Givens rotations; Householder transformations; iPSC-286; orthogonal factorization; sequential arithmetic terms", onlinedate = "November 1989", treatment = "T Theoretical or Mathematical", } @Article{Schreiber:1989:SER, author = "Robert Schreiber and Charles {Van Loan}", title = "A storage-efficient {$ W Y $} representation for products of {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "53--57", month = jan, year = "1989", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0910005", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "976161 (90b:65076)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Res. Inst. for Adv. Comput. Sci., NASA, Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "high-performance computing; Householder transformations; matrices; matrix algebra; matrix-matrix multiplication; numerical methods; storage-efficient; WY representation", onlinedate = "January 1989", treatment = "T Theoretical or Mathematical", } @Article{Yang:1989:RBA, author = "Shu Guang Yang", title = "The realization of the best approximation from the space {$ L_2 $} to {$ L_\infty $} using the {Householder} transformation", journal = "J. Math. (Wuhan)", volume = "9", number = "1", pages = "57--66", year = "1989", ISSN = "0255-7797", ISSN-L = "0255-7797", MRclass = "65D15 (41A50)", MRnumber = "1014375", MRreviewer = "Ming Gen Cui", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematics. Shuxue Zazhi", } @InCollection{Berrington:1990:MHD, author = "K. A. Berrington", title = "Multitasking the {Householder} Diagonalization Algorithm on the {CRAY X-MP/48}", crossref = "Evans:1990:SS", chapter = "13", pages = "155--158", year = "1990", DOI = "https://doi.org/10.1007/978-1-4684-5820-6_13", bibdate = "Fri Dec 21 14:46:40 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, } @TechReport{BrinchHansen:1990:HR, author = "Per {Brinch Hansen}", title = "{Householder} reduction", type = "Electrical Engineering and Computer Science Technical Report", number = "78 (SU-CIS-90-39)", institution = "School of Computer and Information Science, Syracuse University", address = "Syracuse, NY, USA", pages = "ii + 13", month = dec, year = "1990", bibdate = "Sat Jul 23 13:29:02 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hansen-per-brinch.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "htps://surface.syr.edu/eecs_techreports/78", abstract = "This tutorial discusses Householder reduction of n linear equations to a triangular form which can be solved by back substitution. The main strengths of the method are its numerical stability and suitability for parallel computing. We explain how Householder reduction can be derived from elementary matrix algebra. The method is illustrated by a numerical example and a Pascal algorithm. We assume that the reader has a general knowledge of vector and matrix algebra but is less familiar with linear transformation of a vector space.", acknowledgement = ack-nhfb, } @InProceedings{Cioffi:1990:FHF, author = "J. Cioffi", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing}", title = "The fast {Householder} filters --- {RLS} adaptive filter", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1619--1622", year = "1990", DOI = "https://doi.org/10.1109/ICASSP.1990.115735", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=115735", acknowledgement = ack-nhfb, } @Article{Cybenko:1990:HHA, author = "G. Cybenko and M. Berry", title = "Hyperbolic {Householder} Algorithms for Factoring Structured Matrices", journal = j-SIAM-J-MAT-ANA-APPL, volume = "11", number = "4", pages = "499--520", month = oct, year = "1990", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/0611035", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F30", MRnumber = "1066154 (91f:65076)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Liu:1990:CTV, author = "Xiaoyu Liu and K. Balasubramanian and M. E. Munk", title = "Computational techniques for vertex partitioning of graphs", journal = j-J-CHEM-INFO-COMP-SCI, volume = "30", number = "3", pages = "263--269", year = "1990", CODEN = "JCISD8", DOI = "https://doi.org/10.1021/ci00067a009", ISSN = "0095-2338 (print), 1520-5142 (electronic)", ISSN-L = "0095-2338", bibdate = "Sat Dec 22 09:24:30 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "PMID: 2211886.", URL = "https://pubs.acs.org/doi/abs/10.1021/ci00067a009", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Information and Computer Sciences", journal-URL = "http://pubs.acs.org/loi/jcisd8", keywords = "Givens--Householder method", } @Article{Liu:1990:RHT, author = "Zheng She Liu and Chuan Yuan Wen and Ming Lian Zhang", title = "A recursive {Householder} transformation formula for converting matrices to upper triangular form, and its applications", journal = "Acta Automat. Sinica", volume = "16", number = "2", pages = "142--145", year = "1990", ISSN = "0254-4156", ISSN-L = "0254-4156", MRclass = "65F99 (15A21)", MRnumber = "1073820", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Acta Automatica Sinica. Zidonghua Xuebao", } @InProceedings{Liu:1990:RLF, author = "K. J. R. Liu and S. F. Hsieh and K. Yao", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing}", title = "Recursive {LS} filtering using block {Householder} transformations", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1631--1634", year = "1990", DOI = "https://doi.org/10.1109/ICASSP.1990.115739", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=115739", acknowledgement = ack-nhfb, } @InProceedings{Liu:1990:TLP, author = "K. J. R. Liu and K. Yao", booktitle = "[1990] Proceedings of the International Conference on Application Specific Array Processors", title = "Two-level pipelined implementation of systolic block {Householder} transformation with application to {RLS} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "758--769", year = "1990", DOI = "https://doi.org/10.1109/ASAP.1990.145510", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=145510", acknowledgement = ack-nhfb, } @Article{OLeary:1990:PFH, author = "D. P. O'Leary and P. Whitman", title = "Parallel {$ Q R $} factorization by {Householder} and modified {Gram--Schmidt} algorithms", journal = j-PARALLEL-COMPUTING, volume = "16", number = "1", pages = "99--112", month = nov, year = "1990", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Mon Apr 14 11:08:33 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory); C5470 (Performance evaluation and testing)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191/", keywords = "algorithms; Householder; matrix; matrix algebra; message passing systems; modified Gram--Schmidt algorithms; parallel algorithms; parallel implementation; performance; performance evaluation; QR factorization", treatment = "P Practical", } @Article{Rolfe:1990:TCH, author = "Timothy J. Rolfe", title = "Timing comparisons of the {Householder} {$ Q R $} transformations with rank-$1$ and rank-$2$ updates", journal = j-SIGNUM, volume = "25", number = "4", pages = "19--24", month = oct, year = "1990", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Tue Apr 12 07:50:19 MDT 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/signum.bib", acknowledgement = ack-nhfb, fjournal = "ACM SIGNUM Newsletter", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690", } @Article{Bojanczyk:1991:SAH, author = "Adam W. Boja{\'n}czyk and Allan O. Steinhardt", title = "Stability Analysis of a {Householder}-Based Algorithm for Downdating the {Cholesky} Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1255--1265", month = nov, year = "1991", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0912067", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F05 (65F30)", MRnumber = "1129644 (92i:65053)", MRreviewer = "Pradeep Misra", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "November 1991", } @InProceedings{Hsiao:1991:CHA, author = "Shen-Fu Hsiao and Jean-Marc Delosme", title = "The {CORDIC Householder} algorithm", crossref = "Kornerup:1991:PIS", pages = "256--263", year = "1991", DOI = "https://doi.org/10.1109/ARITH.1991.145569", bibdate = "Sat Nov 27 12:40:58 MST 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_Hsiao.pdf; https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=145569", acknowledgement = ack-nhfb, keywords = "ARITH-10", } @InProceedings{Leung:1991:HED, author = "C. S. Leung and K. F. Cheung", booktitle = "[Proceedings] 1991 IEEE International Joint Conference on Neural Networks", title = "{Householder} encoding for discrete bidirectional associative memory", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "237--241", year = "1991", DOI = "https://doi.org/10.1109/IJCNN.1991.170410", ISBN = "0-7803-0227-3", ISBN-13 = "978-0-7803-0227-3", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=170410", acknowledgement = ack-nhfb, } @InProceedings{Tang:1991:SAR, author = "C. F. T. Tang and K. J. R. Liu and S. A. Tretter", booktitle = "[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing", title = "On systolic arrays for recursive complex {Householder} transformations with applications to array processing", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1033--1036", year = "1991", DOI = "https://doi.org/10.1109/ICASSP.1991.150519", ISBN = "0-7803-0003-3", ISBN-13 = "978-0-7803-0003-3", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=150519", acknowledgement = ack-nhfb, } @Article{Yu:1991:SEA, author = "Huili Yu", title = "A spectral estimation algorithm using the {Householder} transform", journal = "Journal of Electronics (China)", volume = "8", number = "1", pages = "77--85", month = jan, year = "1991", DOI = "https://doi.org/10.1007/bf02784416", bibdate = "Fri Dec 21 14:51:56 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{BrinchHansen:1992:HRL, author = "Per {Brinch Hansen}", title = "{Householder} Reduction of Linear Equations", journal = j-COMP-SURV, volume = "24", number = "2", pages = "185--194", month = jun, year = "1992", CODEN = "CMSVAN", DOI = "https://doi.org/10.1145/130844.130851", ISSN = "0360-0300 (print), 1557-7341 (electronic)", ISSN-L = "0360-0300", bibdate = "Thu Jun 19 09:42:15 MDT 2008", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Database/Graefe.bib; http://www.acm.org/pubs/contents/journals/surveys/; https://www.math.utah.edu/pub/bibnet/authors/h/hansen-per-brinch.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/compsurv.bib", URL = "http://brinch-hansen.net/papers/1992a.pdf; http://www.acm.org/pubs/toc/Abstracts/0360-0300/130851.html", abstract = "This tutorial discusses Householder reduction of n linear equations to a triangular form which can be solved by back substitution. The main strength of the method is its unconditional numerical stability. We explain how Householder reduction can be derived from elementary-matrix algebra. The method is illustrated by a numerical example and a Pascal procedure. We assume that the reader has a general knowledge of vector and matrix algebra but is less familiar with linear transformation of a vector space.", acknowledgement = ack-nhfb, fjournal = "ACM Computing Surveys", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J204", keywords = "algorithms; Householder reduction", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods).", } @Article{Cabaleiro:1992:PAH, author = "J. C. Cabaleiro and F. F. Rivera and O. G. Plata and E. L. Zapata", title = "A parallel algorithm for {Householder}'s tridiagonalization of a symmetric matrix", journal = "Cybernet. Systems", volume = "23", number = "3-4", pages = "345--357", year = "1992", DOI = "https://doi.org/10.1080/01969729208927467", ISSN = "0196-9722 (print), 1087-6553 (electronic)", ISSN-L = "0196-9722", MRclass = "65F05 (65Y05)", MRnumber = "1171971", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Cybernetics and Systems. An International Journal", } @Article{Cicci:1992:AHT, author = "David A. Cicci", title = "Applications of the {Householder} transformation to {Ridge}-type estimation methods", journal = j-APPL-MATH-COMP, volume = "51", number = "2--3", pages = "159--165", month = oct, year = "1992", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/0096-3003(92)90071-8", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Tue Nov 20 21:01:53 MST 2012", bibsource = "http://www.elsevier.com/locate/issn/00963003; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/0096300392900718", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @InCollection{Drygas:1992:KAS, author = "Hilmar Drygas", booktitle = "Data analysis and statistical inference", title = "{Die Konvergenzordnung des Algorithmus von Steffensen, Householder und Ostrowski}. ({German}) [{Convergence} order of algorithm of {Steffensen}, {Householder} and {Ostrowski}]", publisher = "Eul", address = "Bergisch Gladbach, Germany", pages = "523--529", year = "1992", MRclass = "65J15", MRnumber = "1248854", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, language = "German", } @Article{Liu:1992:SBH, author = "K. R. Liu and S. Hsieh and K. Yao", title = "Systolic block {Householder} transformation for {RLS} algorithm with two-level pipelined implementation", journal = j-IEEE-TRANS-SIG-PROC, volume = "40", number = "4", pages = "946--958", year = "1992", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.127965", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=127965", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Polichetti:1992:PHM, author = "A. Polichetti and V. Viti and P. Barone and F. Colonna and L. Fiume", title = "{Prony--Householder} method applied to $^{31}${P} {NMR} signals: {II}. {Study} of conjugates of ara-{AMP} with lactosaminated albumin", journal = j-PHYS-MED-BIOL, volume = "37", number = "12", pages = "2231", year = "1992", CODEN = "PHMBA7", ISSN = "0031-9155 (print), 1361-6560 (electronic)", ISSN-L = "0031-9155", bibdate = "Sat Dec 22 09:18:32 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://iopscience.iop.org/article/10.1088/0031-9155/37/12/005; http://stacks.iop.org/0031-9155/37/i=12/a=005", acknowledgement = ack-nhfb, fjournal = "Physics in Medicine and Biology", journal-URL = "http://iopscience.iop.org/0031-9155", } @Article{Puglisi:1992:MHM, author = "Chiara Puglisi", title = "Modification of the {Householder} Method Based on the Compact {$ W Y $} Representation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "723--726", month = may, year = "1992", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0913042", ISSN = "0196-5204 (print), 2168-3417 (electronic)", ISSN-L = "0196-5204", MRclass = "65F30 (65F25)", MRnumber = "1157595 (93b:65071)", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "May 1992", } @Article{Tang:1992:VAA, author = "C. F. T. Tang and K. J. R. Liu and S. F. Hsieh and K. Yao", title = "{VLSI} algorithms and architectures for complex {Householder} transformation with applications to array processing", journal = "Journal of {VLSI} signal processing systems for signal, image and video technology", volume = "4", number = "1", pages = "53--68", month = feb, year = "1992", DOI = "https://doi.org/10.1007/bf00930618", bibdate = "Fri Dec 21 14:56:32 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Zhu:1992:HTR, author = "J. Zhu", booktitle = "{Proceedings of the Sixth International Parallel Processing Symposium}", title = "{Householder} transformation for the regularized least square problem on {iPSC/860}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "433--436", year = "1992", DOI = "https://doi.org/10.1109/IPPS.1992.223007", ISBN = "0-8186-2672-0", ISBN-13 = "978-0-8186-2672-2", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=223007", acknowledgement = ack-nhfb, } @Article{Bojanczyk:1993:BRU, author = "Adam W. Boja{\'n}czyk and James G. Nagy and Robert J. Plemmons", title = "Block {RLS} Using Row {Householder} Reflections", journal = j-LINEAR-ALGEBRA-APPL, volume = "188/189", pages = "31--61", year = "1993", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(93)90464-Y", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F25 (15A23 65F20)", MRnumber = "1223456 (94i:65054)", MRreviewer = "Alfonso Laratta", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", keywords = "nla, updating, Cholesky decomposition, inverse matrix, Householder Transformation", } @TechReport{Chan:1993:XHS, author = "T. F. Chan and G. H. Golub", title = "The {XII Householder} Symposium on Numerical Algebra: {Submitted} Abstracts", type = "CAM Report", number = "9--12", institution = "Department of Mathematics, University of California, Los Angeles", address = "Los Angeles, CA, USA", month = "????", year = "1993", bibdate = "Sat Dec 22 07:24:07 2018", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", keywords = "Householder Symposium", } @Article{Gao:1993:HBT, author = "Li Qun Gao and Hui Mei Liu and Si Ying Zhand", title = "The {Householder} block transformation and linear composed systems", journal = "Inform. and Control (Shenyang)", volume = "22", number = "5", pages = "285--288", year = "1993", ISSN = "1002-0411", ISSN-L = "1002-0411", MRclass = "93B10", MRnumber = "1262935", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Information and Control. Xinxi yu Kongzhi", } @Article{Huang:1993:LEH, author = "Tetz C. Huang and Chin Tzong Pang", title = "{Lyapunov} equation and {Householder} type inequalities", journal = "Chinese J. Math.", volume = "21", number = "2", pages = "125--127", year = "1993", ISSN = "0379-7570", ISSN-L = "0379-7570", MRclass = "26D15 (47A99)", MRnumber = "1220329", MRreviewer = "I. Gavrea", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Chinese Journal of Mathematics", } @Article{Liu:1993:LPI, author = "Z. Liu", title = "On-line parameter identification algorithms based on {Householder} transformation", journal = j-IEEE-TRANS-SIG-PROC, volume = "41", number = "9", pages = "2863--2871", year = "1993", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.236508", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=236508", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @InProceedings{Ralha:1993:POS, author = "R. M. S. Ralha", booktitle = "1993 Euromicro Workshop on Parallel and Distributed Processing", title = "Parallel one-sided {Householder} transformations for eigenvalues computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "218--221", year = "1993", DOI = "https://doi.org/10.1109/EMPDP.1993.336400", ISBN = "0-8186-3610-6", ISBN-13 = "978-0-8186-3610-3", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=336400", acknowledgement = ack-nhfb, } @Article{Stewart:1993:ASH, author = "G. W. Stewart", title = "{Alston Scott Householder} (1904--1993)", journal = j-SIAM-NEWS, volume = "26", number = "??", pages = "??--??", month = oct, year = "1993", ISSN = "0036-1437", ISSN-L = "0036-1437", bibdate = "Thu Dec 20 09:47:38 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib", URL = "http://archive.is/20130115033809/http://sites.uclouvain.be/HHXIX/AlstonHouseholder/#selection-215.0-215.36", acknowledgement = ack-nhfb, } @Article{Ciarlet:1994:MAS, author = "Philippe G. Ciarlet and Richard S. Varga", title = "In memoriam: {Alston Scott Householder}, 1904--1993", journal = j-NUM-MATH, volume = "68", number = "2", pages = "187--187", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "1 283 336", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680187.htm; http://science.springer.de/nmee/bibs/4068002/40680187.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @InProceedings{Murthy:1994:TSEa, author = "K. N. Balasubramanya Murthy and C. Siva Ram Murthy", title = "Two-sided Elimination Algorithm for Parallel Solution of Linear Equations Using {Householder} Reductions", crossref = "Balakrishnan:1994:CSE", pages = "381--382", year = "1994", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, } @Article{Murthy:1994:TSEb, author = "K. N. Balasubramanya Murthy and C. Siva Ram Murthy", title = "Two-Sided Elimination Algorithm for Parallel Solution of Linear Equations Using {Householder} Reductions", journal = j-PARALLEL-ALGORITHMS-APPL, volume = "3", number = "3--4", pages = "287--309", month = "????", year = "1994", CODEN = "PAAPEC", DOI = "https://doi.org/10.1080/10637199408962544", ISSN = "1063-7192", ISSN-L = "1026-7689", bibdate = "Fri Jul 11 06:45:41 MDT 2008", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib", URL = "http://www.informaworld.com/smpp/content~content=a779167063", acknowledgement = ack-nhfb, fjournal = "Parallel Algorithms and Applications", journal-URL = "http://www.tandfonline.com/loi/gpaa20", } @Article{Anonymous:1995:AAH, author = "Anonymous", title = "Announcement: {Alston S. Householder Award VII}", journal = j-LINEAR-ALGEBRA-APPL, volume = "230", number = "1--3", pages = "1--??", day = "15", month = nov, year = "1995", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Wed Jan 22 09:07:50 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @InProceedings{Heck:1995:MHQ, author = "L. P. Heck", booktitle = "{Proceedings of 1995 Workshop on Applications of Signal Processing to Audio and Accoustics}", title = "A multidimensional {Householder} {$ Q R $} algorithm for transducer placement in active noise control systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "57--60", year = "1995", DOI = "https://doi.org/10.1109/ASPAA.1995.482947", ISBN = "0-7803-3064-1", ISBN-13 = "978-0-7803-3064-1", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=482947", acknowledgement = ack-nhfb, } @Article{Hsiao:1995:HCA, author = "Shen-Fu Hsiao and J.-M. Delosme", title = "{Householder CORDIC} algorithms", journal = j-IEEE-TRANS-COMPUT, volume = "44", number = "8", pages = "990--1001", month = aug, year = "1995", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.403715", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Jul 6 08:01:29 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=403715", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Computers", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", } @InProceedings{Doallo:1996:SHQ, author = "R. Doallo and J. Tourino and E. L. Zapata", booktitle = "{Proceedings of 4th Euromicro Workshop on Parallel and Distributed Processing}", title = "Sparse {Householder} {$ Q R $} factorization on a mesh", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "33--39", year = "1996", DOI = "https://doi.org/10.1109/EMPDP.1996.500566", ISBN = "0-8186-7376-1", ISBN-13 = "978-0-8186-7376-4", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=500566", acknowledgement = ack-nhfb, } @InProceedings{Kajita:1996:DMO, author = "K. Kajita and H. Kobayashi and S. Muramatsu and A. Yamada and H. Kiya", booktitle = "{1996 8th European Signal Processing Conference (EUSIPCO 1996)}", title = "A design method for oversampled paraunitary {DFT} filter banks using {Householder} factorization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "1996", ISBN = "88-86179-83-9", ISBN-13 = "978-88-86179-83-6", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7082857", acknowledgement = ack-nhfb, } @Article{Leoncini:1996:PCH, author = "Mauro Leoncini and Giovanni Manzini and Luciano Margara", booktitle = "{Algorithms---ESA '96 (Barcelona)}", title = "Parallel Complexity of {Householder} {$ Q R $} Factorization", journal = j-LECT-NOTES-COMP-SCI, volume = "1136", pages = "290--301", year = "1996", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/3-540-61680-2_63", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", MRclass = "65F05 (65Y20 68Q25)", MRnumber = "1469238", bibdate = "Sat Dec 21 09:47:26 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", series = ser-LNCS, acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @InProceedings{Rontogiannis:1996:ALA, author = "A. A. Rontogiannis and S. Theodoridis", booktitle = "{Proceedings of Third International Conference on Electronics, Circuits, and Systems}", title = "An adaptive {$ L S $} algorithm based on orthogonal {Householder} transformations", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "860--863", year = "1996", DOI = "https://doi.org/10.1109/ICECS.1996.584518", ISBN = "0-7803-3650-X", ISBN-13 = "978-0-7803-3650-6", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=584518", acknowledgement = ack-nhfb, } @Article{Shukuzawa:1996:RTH, author = "Osamu Shukuzawa and Toshio Suzuki and Ichiro Yokota", title = "Real tridiagonalization of {Hermitian} matrices by modified {Householder} transformation", journal = j-PROC-JAPAN-ACAD-SER-A-MATH-SCI, volume = "72", number = "5", pages = "102--103", year = "1996", CODEN = "PJAADT", ISSN = "0386-2194", ISSN-L = "0386-2194", MRclass = "65F15", MRnumber = "1404481", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://projecteuclid.org/euclid.pja/1195510371", acknowledgement = ack-nhfb, fjournal = "Japan Academy. Proceedings. Series A. Mathematical Sciences", journal-URL = "http://projecteuclid.org/pja", } @Article{Carrig:1997:EHF, author = "James J. {Carrig, Jr.} and Gerard G. L. Meyer", title = "Efficient {Householder} {$ Q R $} Factorization for Superscalar Processors", journal = j-TOMS, volume = "23", number = "3", pages = "362--378", month = sep, year = "1997", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/275323.275326", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Y15", MRnumber = "1672172", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p362-carrig/", abstract = "To extract the potential promised by superscalar processors, algorithm designers must streamline memory references and allow for efficient data reuse throughout the memory hierarchy. Two parameterized Householder QR factorization algorithms are presented that take into account the caches and registers typical of such processors. Guidelines are developed for choosing parameter values that obtain near-optimal cache and register utilization. The new algorithms are implemented and performance-tuned on an Intel Pentium Pro system, a single this POWER2 node of the IBM Scalable Parallel System 2 (SP2), and a single R8000 processor of a Silicon Graphics POWER Challenge XL.", accepted = "February 1997", acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "algorithms, performance, cache model, Householder QR factorization, register model", subject = "{\bf B.3.2}: Hardware, MEMORY STRUCTURES, Design Styles, Cache memories. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, linear systems (direct and iterative methods). {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, algorithm analysis, efficiency, portability.", } @Article{Chung:1997:CHT, author = "Kuo-Liang Chung and Wen-Ming Yan", title = "The complex {Householder} transform", journal = j-IEEE-TRANS-SIG-PROC, volume = "45", number = "9", pages = "2374--2376", year = "1997", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.622959", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=622959", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @TechReport{Cox:1997:SHQ, author = "Anthony J. Cox and Nicholas J. Higham", title = "Stability of {Householder $ Q R $} Factorization for Weighted Least Squares Problems", type = "Numerical Analysis Report", number = "301", institution = inst-MCCM, address = inst-MCCM:adr, pages = "17", month = feb, year = "1997", bibdate = "Mon May 19 14:24:46 GMT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "To appear in Numerical Analysis 1997, Proceedings of the 17th Dundee Conference.", acknowledgement = ack-njh, } @Article{Longley:1997:AGS, author = "James W. Longley and Roger D. Longley", title = "Accuracy of {Gram--Schmidt} orthogonalization and {Householder} transformation for the solution of linear least squares problems", journal = j-NUM-LIN-ALG-APPL, volume = "4", number = "4", pages = "295--303", month = jul # "\slash " # aug, year = "1997", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/(SICI)1099-1506(199707/08)4:4<295::AID-NLA102>3.0.CO;2-D", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F25", MRnumber = "1 458 850", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://www.interscience.wiley.com/jpages/1070-5325; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15036; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=15036&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @Article{Lu:1997:PAH, author = "Mi Lu and Kunlin Liu", title = "Parallel algorithm for {Householder} transformation with applications to ill-conditioned problems", journal = j-INT-J-COMPUT-MATH, volume = "64", number = "1-2", pages = "89--101", year = "1997", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207169708804577", ISSN = "0020-7160", ISSN-L = "0020-7160", MRclass = "65F35 (65Y05)", MRnumber = "1474351", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", journal-URL = "http://www.tandfonline.com/loi/gcom20", } @InProceedings{Ma:1997:LLS, author = "Sangback Ma", booktitle = "{Proceedings High Performance Computing on the Information Superhighway. HPC Asia '97}", title = "Linear least squares solutions by {Householder} transformations with column pivoting on a parallel machine", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "134--136", year = "1997", DOI = "https://doi.org/10.1109/HPC.1997.592136", ISBN = "0-8186-7901-8", ISBN-13 = "978-0-8186-7901-8", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=592136", acknowledgement = ack-nhfb, } @Article{Niehsen:1997:NLP, author = "Wolfgang Niehsen and Klaus-A. Owenier", title = "A note on {``On-line parameter identification algorithms based on Householder transformation''}", journal = j-IEEE-TRANS-SIG-PROC, volume = "45", number = "8", pages = "2121--2125", year = "1997", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.611229", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=611229", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @InProceedings{Peng:1997:HBP, author = "Shietung Peng and S. Sedukhin and I. Sedukhin", booktitle = "{Proceedings of IEEE International Symposium on Parallel Algorithms Architecture Synthesis}", title = "{Householder} bidiagonalization on parallel computers with dynamic ring architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "182--191", year = "1997", DOI = "https://doi.org/10.1109/AISPAS.1997.581657", ISBN = "0-8186-7870-4", ISBN-13 = "978-0-8186-7870-7", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=581657", acknowledgement = ack-nhfb, } @Article{Yan:1997:BRP, author = "Wen-Ming Yan and Kuo-Liang Chung", title = "A block representation for products of hyperbolic {Householder} transform", journal = j-APPL-MATH-LETT, volume = "10", number = "1", pages = "109--112", year = "1997", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/S0893-9659(96)00120-6", ISSN = "0893-9659 (print), 1873-5452 (electronic)", ISSN-L = "0893-9659", MRclass = "44A15 (15A99)", MRnumber = "1429483", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", journal-URL = "http://www.sciencedirect.com/science/journal/08939659", } @Article{Anonymous:1998:AHAa, author = "Anonymous", title = "Announcement: {Householder Award X}", journal = j-NUM-MATH, volume = "81", number = "1", pages = "161--162", month = nov, year = "1998", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02510264", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1998:AHAb, author = "Anonymous", title = "Announcement: {Householder Award X}", journal = j-NUM-MATH, volume = "81", number = "2", pages = "321--322", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1998:AHAc, author = "Anonymous", title = "Announcement: {Householder Award X}", journal = j-BIT-NUM-MATH, volume = "38", number = "3", pages = "618--618", month = sep, year = "1998", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Fri Nov 13 12:13:02 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.mai.liu.se/BIT/contents/bit38.html", acknowledgement = ack-nhfb, fjournal = "BIT Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Article{Anonymous:1998:HAX, author = "Anonymous", title = "{Householder Award X}", journal = j-LINEAR-ALGEBRA-APPL, volume = "283", number = "1--3", pages = "301--??", day = "1", month = nov, year = "1998", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Mon Jan 4 19:09:07 MST 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @InProceedings{Cox:1998:SHF, author = "A. J. Cox and N. J. Higham", booktitle = "Numerical analysis 1997 ({Dundee})", title = "Stability of {Householder} {$ Q R $} factorization for weighted least squares problems", volume = "380", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "57--73", year = "1998", MRclass = "65F20", MRnumber = "1636927", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, } @InProceedings{Cox:1998:SHQ, author = "Anthony J. Cox and Nicholas J. Higham", editor = "D. F. Griffiths and D. J. Higham and G. A. Watson", booktitle = "{Numerical Analysis 1997, Proceedings of the 17th Dundee Biennial Conference}", title = "Stability of {Householder} {$ Q R $} Factorization for Weighted Least Squares Problems", crossref = "Higham:1998:NAP", volume = "380", pages = "57--73", year = "1998", bibdate = "Mon Aug 29 22:30:58 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, } @InProceedings{Sosonkina:1998:SPI, author = "M. Sosonkina and D. C. S. Allison and L. T. Watson", booktitle = "{Proceedings. 1998 International Conference on Parallel Processing}", title = "Scalable parallel implementations of the {GMRES} algorithm via {Householder} reflections", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "396--404", year = "1998", DOI = "https://doi.org/10.1109/ICPP.1998.708511", ISBN = "0-8186-8650-2", ISBN-13 = "978-0-8186-8650-4", ISSN = "0190-3918", ISSN-L = "0190-3918", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "IEEE catalog no. 98EX205.", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=708511", acknowledgement = ack-nhfb, } @InProceedings{Campos:1999:HTC, author = "M. L. R. {De Campos} and S. Werner and J. A. Apolinario", booktitle = "1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)", title = "{Householder}-transform constrained {LMS} algorithms with reduced-rank updating", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1857--1860", year = "1999", DOI = "https://doi.org/10.1109/ICASSP.1999.758284", ISBN = "0-7803-5041-3", ISBN-13 = "978-0-7803-5041-0", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=758284", acknowledgement = ack-nhfb, } @Article{Drury:1999:OHR, author = "S. W. Drury", title = "{OMC} for {Householder} reflections", journal = j-LINEAR-ALGEBRA-APPL, volume = "298", number = "1--3", pages = "159--169", day = "1", month = sep, year = "1999", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/S0024-3795(99)00173-1", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A15 (15A18)", MRnumber = "1723121", MRreviewer = "Jorma Kaarlo Merikoski", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://www.elsevier.com/locate/laa; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", URL = "http://www.elsevier.nl/gej-ng/10/30/19/105/17/27/abstract.html; http://www.elsevier.nl/gej-ng/10/30/19/105/17/27/article.pdf", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @InProceedings{Elzinga:1999:PRF, author = "M. Elzinga and K. L. Virga and Li Zhao and J. L. Prince", booktitle = "1999 Proceedings. 49th Electronic Components and Technology Conference (Cat. No.99CH36299)", title = "Pole-residue formulation for transient simulation of high-speed interconnects using {Householder} {$ L S $} curve-fitting techniques", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "500--505", year = "1999", DOI = "https://doi.org/10.1109/ECTC.1999.776223", ISBN = "0-7803-5231-9", ISBN-13 = "978-0-7803-5231-5", ISSN = "0569-5503", ISSN-L = "0569-5503", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=776223", acknowledgement = ack-nhfb, } @Article{Fan:1999:MHT, author = "Hongyi Fan and Liangshi Li", title = "Mapping of {Householder} transformation in {Euclidean} space to rotation-reflection operator", journal = "Commun. Theor. Phys. (Beijing)", volume = "31", number = "3", pages = "477--480", year = "1999", DOI = "https://doi.org/10.1088/0253-6102/31/3/477", ISSN = "0253-6102 (print), 1572-9494 (electronic)", ISSN-L = "0253-6102", MRclass = "81R05", MRnumber = "1720510", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Theoretical Physics", } @Article{Kontoghiorghes:1999:RLS, author = "E. J. Kontoghiorghes and M. Clint and H.-H. Naegeli", title = "Recursive least-squares using a hybrid {Householder} algorithm on massively parallel {SIMD} systems", journal = j-PARALLEL-COMPUTING, volume = "25", number = "9", pages = "1147--1159", day = "1", month = sep, year = "1999", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Sat Oct 28 17:44:09 MDT 2000", bibsource = "http://www.elsevier.com/locate/issn/01678191; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.nl/gej-ng/10/35/21/32/25/21/abstract.html; http://www.elsevier.nl/gej-ng/10/35/21/32/25/21/article.pdf", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191/", } @Misc{OConnor:1999:ASH, author = "J. J. O'Connor and E. F. Robertson", title = "{Alston Scott Householder}", howpublished = "MacTutor Web site article.", year = "1999", bibdate = "Thu Dec 20 10:09:47 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://www-history.mcs.st-andrews.ac.uk/history/Biographies/Householder.html", acknowledgement = ack-nhfb, } @Article{Reeve:1999:EPV, author = "J. S. Reeve and M. Heath", title = "An efficient parallel version of the {Householder}--{$ Q L $} matrix diagonalisation algorithm", journal = j-PARALLEL-COMPUTING, volume = "25", number = "3", pages = "311--319", year = "1999", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/S0167-8191(98)00116-1", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65F25 (15A21)", MRnumber = "1670904", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Computing. Systems \& Applications", journal-URL = "http://www.sciencedirect.com/science/journal/01678191/", } @Article{Rotella:1999:BHT, author = "F. Rotella and I. Zambettakis", title = "Block {Householder} transformation for parallel {$ Q R $} factorization", journal = j-APPL-MATH-LETT, volume = "12", number = "4", pages = "29--34", year = "1999", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/S0893-9659(99)00028-2", ISSN = "0893-9659 (print), 1873-5452 (electronic)", ISSN-L = "0893-9659", MRclass = "15A23 (65F30)", MRnumber = "1750592", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", journal-URL = "http://www.sciencedirect.com/science/journal/08939659", } @InProceedings{Abed-Meraim:2000:SSM, author = "K. Abed-Meraim and S. Attallah and A. Chkeif and Y. Hua", booktitle = "{Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing}", title = "Self-stabilized minor subspace extraction algorithm based on {Householder} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "90--93", year = "2000", DOI = "https://doi.org/10.1109/SSAP.2000.870088", ISBN = "0-7803-5988-7", ISBN-13 = "978-0-7803-5988-8", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "IEEE catalog no. 00TH8496.", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=870088", acknowledgement = ack-nhfb, } @Article{Dieci:2000:OIB, author = "Luca Dieci and Erik S. {Van Vleck}", title = "Orthonormal integrators based on {Householder} and {Givens} transformations", journal = "arxiv.org", volume = "??", number = "??", pages = "1--25", day = "2", month = dec, year = "2000", bibdate = "Fri Dec 21 10:15:18 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/math/0012007", abstract = "We carry further our work [DV2] on orthonormal integrators based on Householder and Givens transformations. We propose new algorithms and pay particular attention to appropriate implementation of these techniques. We also present a suite of Fortran codes and provide numerical testing to show the efficiency and accuracy of our techniques.", acknowledgement = ack-nhfb, } @InProceedings{Douglas:2000:NRA, author = "S. C. Douglas", booktitle = "{Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop. SAM 2000}", title = "Numerically-robust adaptive subspace tracking using {Householder} transformations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "499--503", year = "2000", DOI = "https://doi.org/10.1109/SAM.2000.878059", ISBN = "0-7803-6339-6", ISBN-13 = "978-0-7803-6339-7", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "IEEE catalog no. 00EX410.", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=878059", acknowledgement = ack-nhfb, } @Article{Dubrulle:2000:HTR, author = "A. A. Dubrulle", title = "{Householder} Transformations Revisited", journal = j-SIAM-J-MAT-ANA-APPL, volume = "22", number = "1", pages = "33--40", year = "2000", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479898338561", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F25", MRnumber = "1779714", MRreviewer = "K. Veseli{\'c}", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/33856", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Elzinga:2000:PRF, author = "M. Elzinga and K. L. Virga and L. Zhao and J. L. Prince", title = "Pole-residue formulation for transient simulation of high-frequency interconnects using {Householder} {$ L S $} curve-fitting techniques", journal = "IEEE Transactions on Advanced Packaging", volume = "23", number = "2", pages = "142--147", year = "2000", DOI = "https://doi.org/10.1109/6040.846624", ISSN = "1521-3323 (print), 1557-9980 (electronic)", ISSN-L = "1521-3323", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=846624", acknowledgement = ack-nhfb, } @InProceedings{Luo:2000:PAH, author = "Xiaoqiang Luo", booktitle = "2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100)", title = "Parser adaptation via {Householder} transform", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II:1225--II:1228", year = "2000", DOI = "https://doi.org/10.1109/ICASSP.2000.859187", ISBN = "0-7803-6293-4", ISBN-13 = "978-0-7803-6293-2", ISSN = "1520-6149", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=859187", acknowledgement = ack-nhfb, } @Article{Xu:2000:MDH, author = "Ming Hua Xu", title = "A method for determining the {Householder} transform in the algorithm {$ {\rm VGMRES}(m) $}", journal = "Nanjing Daxue Xuebao Shuxue Bannian Kan", volume = "17", number = "1", pages = "140--146", year = "2000", ISSN = "0469-5097", ISSN-L = "0469-5097", MRclass = "65F30", MRnumber = "1771170", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Nanjing Daxue Xuebao. Shuxue Bannian Kan. Nanjing University. Journal. Mathematical Biquarterly", } @Article{Chen:2001:NPV, author = "J. T. Chen and S. R. Kuo and C. F. Lee", title = "A new point of view for the {Householder} matrix by using matrix exponential", journal = j-INT-J-APPL-MATH, volume = "7", number = "3", pages = "289--308", year = "2001", ISSN = "1311-1728 (print), 1314-8060 (electronic)", ISSN-L = "1311-1728", MRclass = "15A99", MRnumber = "1853872", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Mathematics", journal-URL = "http://www.diogenes.bg/ijam/", } @Article{Fierro:2001:LHT, author = "Ricardo D. Fierro", title = "{Lanczos}, {Householder} transformations, and implicit deflation for fast and reliable dominant singular subspace computation", journal = j-NUM-LIN-ALG-APPL, volume = "8", number = "4", pages = "245--264", month = jun, year = "2001", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.240", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F30 (65-04 65F15)", MRnumber = "1831935", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "26 Mar 2001", } @Article{Yan:2001:ASS, author = "Qing You Yan and Zhong Xiao Jia", title = "The algorithm of special symplectic {Householder} transformations and symplectic {Givens} transformations", journal = "J. Dalian Univ. Technol.", volume = "41", number = "4", pages = "399--404", year = "2001", ISSN = "1000-8608", ISSN-L = "1000-8608", MRclass = "65F25", MRnumber = "1852592", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Dalian University of Technology. Dalian Ligong Daxue Xuebao", } @InProceedings{Chawla:2002:PHM, author = "M. M. Chawla and R. R. Khazal", booktitle = "{Proceedings of Neural, Parallel, and Scientific Computations}", title = "A parallel {Householder} method for banded linear systems", volume = "2", publisher = "Dynamic", address = "Atlanta, GA, USA", pages = "175--178", year = "2002", MRclass = "65F05 (65Y05)", MRnumber = "2146668", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{deCampos:2002:CAA, author = "Marcello L. R. de Campos and Stefan Werner and Jos{\'e} Antonio {Apolin{\'a}rio, Jr.}", title = "Constrained adaptation algorithms employing {Householder} transformation", journal = j-IEEE-TRANS-SIG-PROC, volume = "50", number = "9", pages = "2187--2195", year = "2002", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2002.801893", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "94A12 (65F25)", MRnumber = "1959342", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1025582", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Evans:2002:SSD, author = "D. J. Evans and M. Gusev", title = "Systolic {SVD} and {$ Q R $} decomposition by {Householder} reflections", journal = j-INT-J-COMPUT-MATH, volume = "79", number = "4", pages = "417--439", year = "2002", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207160210943", ISSN = "0020-7160", ISSN-L = "0020-7160", MRclass = "65Y05", MRnumber = "1898120", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", journal-URL = "http://www.tandfonline.com/loi/gcom20", } @InProceedings{deCampos:2003:EIM, author = "M. L. R. de Campos and S. Werner and J. A. Apolinario", booktitle = "GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489)", title = "On an efficient implementation of the multistage {Wiener} filter through {Householder} reflections for {DS-CDMA} interference suppression", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2350--2354", year = "2003", DOI = "https://doi.org/10.1109/GLOCOM.2003.1258655", ISBN = "0-7803-7974-8", ISBN-13 = "978-0-7803-7974-9", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1258655", acknowledgement = ack-nhfb, } @Article{Dieci:2003:OIB, author = "Luca Dieci and Erik S. {Van Vleck}", title = "Orthonormal integrators based on {Householder} and {Givens} transformations", journal = j-FUT-GEN-COMP-SYS, volume = "19", number = "3", pages = "363--373", month = apr, year = "2003", CODEN = "FGSEVI", ISSN = "0167-739X (print), 1872-7115 (electronic)", ISSN-L = "0167-739X", bibdate = "Sat Jan 10 10:03:32 MST 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/futgencompsys.bib", acknowledgement = ack-nhfb, fjournal = "Future Generation Computer Systems", journal-URL = "http://www.sciencedirect.com/science/journal/0167739X", } @Misc{Vouras:2003:HFAb, author = "Peter G. Vouras and Gerard G. L. Meyer", title = "Hybrid {$ Q R $} Factorization Algorithm for High Performance Computing Architectures", howpublished = "24 lecture slides.", day = "21", month = may, year = "2003", bibdate = "Fri Dec 21 16:23:10 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://apps.dtic.mil/dtic/tr/fulltext/u2/a419884.pdf", acknowledgement = ack-nhfb, } @TechReport{Vouras:2003:HQFa, author = "Peter G. Vouras and Gerard G. L. Meyer", title = "Hybrid {$ Q R $} Factorization Algorithm for High Performance Computing Architectures", institution = "Naval Research Laboratory", address = "Washington, DC, USA", pages = "3", day = "21", month = may, year = "2003", bibdate = "Fri Dec 21 16:20:20 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.researchgate.net/profile/Gerard_Meyer/publication/277869278_Hybrid_QR_Factorization_Algorithm_for_High_Performance_Computing_Architectures/links/55a7bf0c08ae35c4361315d3/Hybrid-QR-Factorization-Algorithm-for-High-Performance-Computing-Architectures.pdf?origin=publication_detail", abstract = "This paper describes a novel $ Q R $ decomposition algorithm that utilizes both Givens rotations and Householder reflections to give optimal performance on high performance computing architectures. Computing the matrix factorization $ A = Q R $ is a mathematical step frequently encountered in many signal processing applications, including adaptive nulling. Efficient algorithms for computing the $ Q R $ factorization are vital to satisfying strict latency and throughput constraints in real-time implementations of these signal processing algorithms. By effectively combining the use of Givens rotations and Householder reflections on a parallel computing platform, it is possible to efficiently map the computational algorithm to the available computational hardware to best make use of the memory hierarchy and to optimize performance. Furthermore, by introducing adjustable software parameters that control load partitioning among the processors, cache use, and the number of computations done in serial fashion on one processor versus the calculations done concurrently on several processors, it is possible for the user to tune the algorithm to run on different machines, without rewriting any code and still maintaining optimum performance. Results given in this abstract show that properly tuning the Hybrid $ Q R $ algorithm on the SGI O3000 provided better performance than the available SCALAPACK library routine PSGEQRF for computing the $ Q R $ decomposition.", acknowledgement = ack-nhfb, } @Article{Dax:2004:CPH, author = "Achiya Dax", title = "Computing projections via {Householder} transformations and {Gram--Schmidt} orthogonalizations", journal = j-NUM-LIN-ALG-APPL, volume = "11", number = "7", pages = "675--692", month = sep, year = "2004", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.384", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F25", MRnumber = "2081085", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://www.interscience.wiley.com/jpages/1070-5325; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com/journalfinder.html", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "29 Apr 2004", } @Article{Mackey:2004:RAH, author = "D. Steven Mackey and Niloufer Mackey and Fran{\c{c}}oise Tisseur", title = "{$ \mathbb {G} $}-reflectors: analogues of {Householder} transformations in scalar product spaces", journal = j-LINEAR-ALGEBRA-APPL, volume = "385", number = "1", pages = "187--213", day = "1", month = jul, year = "2004", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2003.07.009", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A04 (15A63 20G20)", MRnumber = "2063355", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @InProceedings{Werner:2004:HBL, author = "S. Werner and M. With and V. Koivunen", booktitle = "{2004 12th European Signal Processing Conference}", title = "{Householder} based low-rank space-time processor for anti-jamming navigation receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "825--828", year = "2004", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7079847", acknowledgement = ack-nhfb, xxISBN = "978-320-0001-65", } @InProceedings{With:2004:HBA, author = "M. With and S. Werner and V. Koivunen", booktitle = "{Processing Workshop Proceedings, 2004 Sensor Array and Multichannel Signal}", title = "{Householder}-based anti-jamming navigation receiver structures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "79--83", year = "2004", DOI = "https://doi.org/10.1109/SAM.2004.1502912", ISBN = "0-7803-8545-4", ISBN-13 = "978-0-7803-8545-0", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1502912", acknowledgement = ack-nhfb, } @InProceedings{Attallah:2005:GRQ, author = "S. Attallah", booktitle = "{Proceedings of the 2005 Asia-Pacific Conference on Communications}", title = "The Generalized {Rayleigh}'s Quotient Adaptive Noise Subspace Algorithm: A {Householder} Transformation based Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "541--544", year = "2005", DOI = "https://doi.org/10.1109/APCC.2005.1554119", ISBN = "0-7803-9132-2", ISBN-13 = "978-0-7803-9132-1", ISSN = "2163-0771", ISSN-L = "2163-0771", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1554119", acknowledgement = ack-nhfb, } @Article{Ray:2005:DRP, author = "Goshaidas Ray and Sitansu Dey and T. K. Bhattacharyya", title = "Design of reaching phase for variable structure controller based on {Householder} transformation", journal = "Kybernetika (Prague)", volume = "41", number = "5", pages = "601--622", year = "2005", ISSN = "0023-5954 (print), 1805-949X (electronic)", ISSN-L = "0023-5954", MRclass = "93B12 (93C41 93C42 93D05)", MRnumber = "2192426", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Kybernetika", } @Article{Robbe:2005:CAB, author = "M. Robb{\'e} and M. Sadkane", title = "Convergence analysis of the block {Householder} block diagonalization algorithm", journal = j-BIT-NUM-MATH, volume = "45", number = "1", pages = "181--195", month = mar, year = "2005", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-005-2648-6", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F20 (15A23)", MRnumber = "MR2164231", MRreviewer = "David R. Hill", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=1&spage=181", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Misc{Stoyan:2005:NMHa, author = "Gisbert Stoyan and Galina Tak{\'o}", title = "Numerikus m{\'o}dszerek 1. ({Hungarian}) [{Numerical} methods]", howpublished = "Web site", year = "2005", bibdate = "Thu Dec 20 11:01:02 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.tankonyvtar.hu/hu/tartalom/tkt/numerikus-modszerek-1/ch03s05.html", acknowledgement = ack-nhfb, } @Misc{Stoyan:2005:NMHb, author = "Gisbert Stoyan and Galina Tak{\'o}", title = "Numerikus m{\'o}dszerek 1. ({Hungarian}) [{Numerical} methods]", howpublished = "Web site", year = "2005", bibdate = "Thu Dec 20 11:01:02 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.tankonyvtar.hu/hu/tartalom/tkt/numerikus-modszerek-1/ch04s05.html", acknowledgement = ack-nhfb, } @Article{Yan:2005:SNP, author = "Lie Ya Yan and Xue Ming Ren", title = "Some new properties of {Householder} matrices", journal = "Pure Appl. Math. (Xi'an)", volume = "21", number = "1", pages = "16--19", year = "2005", ISSN = "1008-5513", ISSN-L = "1008-5513", MRclass = "65F25", MRnumber = "2161281", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Pure and Applied Mathematics. Chuncui Shuxue yu Yingyong Shuxue", } @Article{Attallah:2006:GRQ, author = "S. Attallah", title = "The generalized {Rayleigh}'s quotient adaptive noise subspace algorithm: a {Householder} transformation-based implementation", journal = "IEEE Transactions on Circuits and Systems II: Express Briefs", volume = "53", number = "1", pages = "3--7", year = "2006", DOI = "https://doi.org/10.1109/TCSII.2005.854587", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1576914", acknowledgement = ack-nhfb, } @Article{Djanybekov:2006:IHM, author = "Bakyt S. Djanybekov", title = "Interval {Householder} Method for Complex Linear Systems", journal = j-RELIABLE-COMPUTING, volume = "12", number = "1", pages = "35--43", month = feb, year = "2006", CODEN = "RCOMF8", DOI = "https://doi.org/10.1007/s11155-006-2968-5", ISSN = "1385-3139 (print), 1573-1340 (electronic)", ISSN-L = "1385-3139", MRclass = "65G40 (65F05)", MRnumber = "2197625", MRreviewer = "Adam Marlewski", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1385-3139&volume=12&issue=1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/reliablecomputing.bib", URL = "http://link.springer.com/article/10.1007/s11155-006-2968-5; http://link.springer.com/article/10.1007/s11155-006-2968-5/; http://www.springerlink.com/openurl.asp?genre=article&issn=1385-3139&volume=12&issue=1&spage=35; http://www.springerlink.com/openurl.asp?genre=article&issn=1385-3139&volume=12&issue=1&spage=35-43", acknowledgement = ack-nhfb # "\slash " # ack-rbk # "\slash " # ack-vk, fjournal = "Reliable Computing = Nadezhnye vychisleniia", journal-URL = "http://link.springer.com/journal/11155", } @Article{Feng:2006:GFT, author = "De-Jun Feng and Long Wang and Yang Wang", title = "Generation of finite tight frames by {Householder} transformations", journal = j-ADV-COMPUT-MATH, volume = "24", number = "1--4", pages = "297--309", month = jan, year = "2006", CODEN = "ACMHEX", DOI = "https://doi.org/10.1007/s10444-004-7637-9", ISSN = "1019-7168 (print), 1572-9044 (electronic)", ISSN-L = "1019-7168", MRclass = "42C15", MRnumber = "2222273", MRreviewer = "R. A. Zalik", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/advcomputmath.bib", URL = "http://link.springer.com/article/10.1007/s10444-004-7637-9", acknowledgement = ack-nhfb, fjournal = "Advances in Computational Mathematics", journal-URL = "http://link.springer.com/journal/10444", } @Article{Gajaweera:2006:SCT, author = "R. N. Gajaweera and L. F. Lind", title = "Synthesis of canonical topology microwave filters using {Householder}'s transformations", journal = j-ELECT-LETTERS, volume = "42", number = "19", pages = "1101--1102", year = "2006", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el:20062329", ISSN = "0013-5194 (print), 1350-911x (electronic)", ISSN-L = "0013-5194", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1705804", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", } @Article{Ivanov:2006:EAT, author = "P. A. Ivanov and E. S. Kyoseva and N. V. Vitanov", title = "Engineering of arbitrary {$ U(N) $} transformations by quantum {Householder} reflections", journal = j-PHYS-REV-A, volume = "74", number = "2", month = aug, year = "2006", CODEN = "PLRAAN", DOI = "https://doi.org/10.1103/physreva.74.022323", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Fri Dec 21 07:53:16 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/20853040-engineering-arbitrary-transformations-quantum-householder-reflections", abstract = "We propose a simple physical implementation of the quantum Householder reflection (QHR) $ M(v) = I - 2 > < v| $ in a quantum system of $N$ degenerate states (forming a qunit) coupled simultaneously to an ancillary (excited) state by $N$ resonant or nearly resonant pulsed external fields. We also introduce the generalized QHR $ M(v; \phi) = I + (e^{i \phi } - 1)|v > < v|$, which can be produced in the same $N$-pod system when the fields are appropriately detuned from resonance with the excited state. We use these two operators as building blocks in constructing arbitrary preselected unitary transformations. We show that the most general $ U(N)$ transformation can be factorized (and thereby produced) by either $ N - 1$ standard QHRs and an $N$-dimensional phase gate, or $ N - 1$ generalized QHRs and a one-dimensional phase gate. Viewed mathematically, these QHR factorizations provide parametrizations of the U(N) group. As an example, we propose a recipe for constructing the quantum Fourier transform (QFT) by at most N interaction steps. For example, the QFT requires a single QHR for $ N = 2$, and only two QHRs for $ N = 3$ and $4$.", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", journal-URL = "http://pra.aps.org/browse", } @Article{Joffrain:2006:AHT, author = "Thierry Joffrain and Tze Meng Low and Enrique S. Quintana-Ort{\'\i} and Robert van de Geijn and Field G. {Van Zee}", title = "Accumulating {Householder} transformations, revisited", journal = j-TOMS, volume = "32", number = "2", pages = "169--179", month = jun, year = "2006", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1141885.1141886", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F25", MRnumber = "2272357", MRreviewer = "Daniel Kressner", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "A theorem related to the accumulation of Householder transformations into a single orthogonal transformation known as the compact WY transform is presented. It provides a simple characterization of the computation of this transformation and suggests an alternative algorithm for computing it. It also suggests an alternative transformation, the UT transform, with the same utility as the compact WY Transform which requires less computation and has similar stability properties. That alternative transformation was first published over a decade ago but has gone unnoticed by the community.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @InProceedings{McIlhenny:2006:DLC, author = "R. McIlhenny and M. D. Ercegovac", booktitle = "2006 Fortieth Asilomar Conference on Signals, Systems and Computers", title = "On the Design of an On-line Complex {Householder} Transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "318--322", year = "2006", DOI = "https://doi.org/10.1109/ACSSC.2006.354759", ISBN = "1-4244-0784-2, 1-4244-0785-0", ISBN-13 = "978-1-4244-0784-2, 978-1-4244-0785-9", ISSN = "1058-6393", ISSN-L = "1058-6393", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4176569", acknowledgement = ack-nhfb, } @Article{Sangwine:2006:QSVa, author = "Stephen J. Sangwine and Nicolas {Le Bihan}", title = "Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion {Householder} transformations", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "10", month = mar, year = "2006", bibdate = "Fri Dec 21 10:16:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/math/0603251", abstract = "We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix $A$ based on bidiagonalization of $A$ to a real bidiagonal matrix $B$ using quaternionic Householder transformations. Computation of the svd of $B$ using an existing subroutine library such as lapack provides the singular values of $A$. The singular vectors of $A$ are obtained trivially from the product of the Householder transformations and the real singular vectors of $B$. We show in the paper that left and right quaternionic Householder transformations are different because of the noncommutative multiplication of quaternions and we present formulae for computing the Householder vector and matrix in each case.", acknowledgement = ack-nhfb, } @Article{Sangwine:2006:QSVb, author = "Stephen J. Sangwine and Nicolas {Le Bihan}", title = "Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion {Householder} transformations", journal = j-APPL-MATH-COMP, volume = "182", number = "1", pages = "727--738", day = "1", month = nov, year = "2006", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2006.04.032", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "15A33", MRnumber = "2292081", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300306003808", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @Article{Wright:2006:RMH, author = "Stephen E. Wright", title = "Real matrix homotopies based on {Householder} reflections", journal = j-LINEAR-ALGEBRA-APPL, volume = "412", number = "2--3", pages = "538--545", day = "15", month = jan, year = "2006", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2005.07.012", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A99", MRnumber = "2182978", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @InProceedings{Alexandropoulos:2007:HMB, author = "G. C. Alexandropoulos and K. Berberidis and N. C. Sagias and F. I. Lazarakis and A. A. Alexandridis and K. P. Dangakis", booktitle = "2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications", title = "{Householder}-Matrices based Analysis of {SC} Receivers over {Rayleigh} Fading Channels with Arbitrary Correlation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2007", DOI = "https://doi.org/10.1109/PIMRC.2007.4394147", ISBN = "1-4244-1143-2, 1-4244-1144-0", ISBN-13 = "978-1-4244-1143-6, 978-1-4244-1144-3", ISSN = "2166-9570 (print), 2166-9589 (electronic)", ISSN-L = "2166-9570", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4394147", acknowledgement = ack-nhfb, } @Article{Ivanov:2007:EAT, author = "P. A. Ivanov and E. S. Kyoseva and N. V. Vitanov", title = "Engineering of arbitrary {$ U(N) $} transformations by quantum {Householder} reflections", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "21", month = aug, year = "2007", bibdate = "Fri Dec 21 11:29:51 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/0708.2811", abstract = "We propose a simple physical implementation of the quantum Householder reflection (QHR) $ M(v) = I - 2 |v > < v| $ in a quantum system of $N$ degenerate states (forming a qunit) coupled simultaneously to an ancillary (excited) state by $N$ resonant or nearly resonant pulsed external fields. We also introduce the generalized QHR $ M(v; \phi) = I + (e^{i \phi } - 1)|v > < v|$, which can be produced in the same $N$-pod system when the fields are appropriately detuned from resonance with the excited state. We use these two operators as building blocks in constructing arbitrary preselected unitary transformations. We show that the most general $ U(N)$ transformation can be factorized (and thereby produced) by either $ N - 1$ standard QHRs and an $N$-dimensional phase gate, or $ N - 1$ generalized QHRs and a one-dimensional phase gate. Viewed mathematically, these QHR factorizations provide parametrizations of the U(N) group. As an example, we propose a recipe for constructing the quantum Fourier transform (QFT) by at most N interaction steps. For example, the QFT requires a single QHR for $ N = 2$, and only two QHRs for $ N = 3$ and $4$.", acknowledgement = ack-nhfb, } @InProceedings{Ivanov:2007:SAU, author = "P. A. Ivanov and N. V. Vitanov", title = "Synthesis of Arbitrary Unitary Transformations in Quantum Systems by {Householder} Reflections", crossref = "Simos:2007:CMS", volume = "2B", pages = "832--835", year = "2007", DOI = "https://doi.org/10.1063/1.2836221", bibdate = "Thu Feb 21 14:34:40 2008", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/iccmse2007.bib", URL = "http://proceedings.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=APCPCS000963000002000832000001&idtype=cvips; https://www.osti.gov/biblio/21043547-synthesis-arbitrary-unitary-transformations-quantum-systems-householder-reflections", abstract = "We demonstrate that Householder reflections emerge naturally in the propagator of a coherently driven degenerate two-level system. Such reflections are a very powerful tool for constructing arbitrary unitary transformations of an $N$-state quantum system. We present examples for construction of discrete Fourier transforms, superposition-to-superposition navigation between pure states, engineering of arbitrary mixed states, and entanglement of trapped ions.", acknowledgement = ack-nhfb, } @Article{Noor:2007:MHIa, author = "Khalida Inayat Noor and Muhammad Aslam Noor and Shaher Momani", title = "Modified {Householder} iterative method for nonlinear equations", journal = j-APPL-MATH-COMP, volume = "190", number = "2", pages = "1534--1539", day = "15", month = jul, year = "2007", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2007.02.036", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65H05", MRnumber = "2339744", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300307001890", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @Article{Noor:2007:MHIb, author = "Muhammad Aslam Noor and Vijay Gupta", title = "Modified {Householder} iterative method free from second derivatives for nonlinear equations", journal = j-APPL-MATH-COMP, volume = "190", number = "2", pages = "1701--1706", day = "15", month = jul, year = "2007", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2007.02.056", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65H05", MRnumber = "2339762", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300307002159", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @Article{Rangelov:2007:PTT, author = "A. A. Rangelov and N. V. Vitanov and B. W. Shore", title = "Population trapping in three-state quantum loops revealed by {Householder} reflections", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "7", month = dec, year = "2007", bibdate = "Fri Dec 21 11:28:10 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/0712.1238", abstract = "Population trapping occurs when a particular quantum-state superposition is immune to action by a specific interaction, such as the well-known dark state in a three-state lambda system. We here show that in a three-state loop linkage, a Hilbert-space Householder reflection breaks the loop and presents the linkage as a single chain. With certain conditions on the interaction parameters, this chain can break into a simple two-state system and an additional spectator state. Alternatively, a two-photon resonance condition in this Householder-basis chain can be enforced, which heralds the existence of another spectator state. These spectator states generalize the usual dark state to include contributions from all three bare basis states and disclose hidden population trapping effects, and hence hidden constants of motion. Insofar as a spectator state simplifies the overall dynamics, its existence facilitates the derivation of analytic solutions and the design of recipes for quantum state engineering in the loop system. Moreover, it is shown that a suitable sequence of Householder transformations can cast an arbitrary $N$-dimensional Hermitian Hamiltonian into a tridiagonal form. The implication is that a general $N$-state system, with arbitrary linkage patterns where each state connects to any other state, can be reduced to an equivalent chainwise-connected system, with nearest-neighbor interactions only, with ensuing possibilities for discovering hidden multidimensional spectator states and constants of motion.", acknowledgement = ack-nhfb, } @InProceedings{Wang:2007:PMD, author = "Yun Wang and Jinkuan Wang and Zhibin Xie", booktitle = "2007 International Symposium on Intelligent Signal Processing and Communication Systems", title = "Parallel {MIMO} detection algorithm based on {Householder} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--183", year = "2007", DOI = "https://doi.org/10.1109/ISPACS.2007.4445853", ISBN = "1-4244-1446-6, 1-4244-1447-4", ISBN-13 = "978-1-4244-1446-8, 978-1-4244-1447-5", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4445853", acknowledgement = ack-nhfb, } @Article{Werner:2007:HMW, author = "S. Werner and M. With and V. Koivunen", title = "{Householder} Multistage {Wiener} Filter for Space-Time Navigation Receivers", journal = j-IEEE-TRANS-AEROSP-ELECTRON-SYST, volume = "43", number = "3", pages = "975--988", year = "2007", CODEN = "IEARAX", DOI = "https://doi.org/10.1109/TAES.2007.4383587", ISSN = "0018-9251, 1557-9603, 2371-9877", ISSN-L = "0018-9251", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4383587", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Aerospace and Electronic Systems", } @InProceedings{Xie:2007:ASS, author = "Z. Xie and J. Wang and Y. Wang", booktitle = "2007 International Conference on Wireless Communications, Networking and Mobile Computing", title = "Antenna Selection for Spatial Multiplexing Systems Based on Complex {Householder} {$ Q R $} Factorization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "710--713", year = "2007", DOI = "https://doi.org/10.1109/WICOM.2007.184", ISBN = "1-4244-1311-7, 1-4244-1312-5", ISBN-13 = "978-1-4244-1311-9, 978-1-4244-1312-6", ISSN = "2161-9646 (print), 2161-9654 (electronic)", ISSN-L = "2161-9646", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4339959", acknowledgement = ack-nhfb, } @Article{Baglama:2008:ABH, author = "James Baglama", title = "Augmented block {Householder} {Arnoldi} method", journal = j-LINEAR-ALGEBRA-APPL, volume = "429", number = "10", pages = "2315--2334", day = "1", month = nov, year = "2008", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2007.12.021", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F15", MRnumber = "2456779", MRreviewer = "J{\"o}rg Liesen", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Burki:2008:SPC, author = "Jehanzeb Burki and Christopher F. Barnes", title = "Slant Plane {CSAR} Processing Using {Householder} Transform", journal = j-IEEE-TRANS-IMAGE-PROCESS, volume = "17", number = "10", pages = "1900--1907", month = oct, year = "2008", CODEN = "IIPRE4", DOI = "https://doi.org/10.1109/TIP.2008.2002161", ISSN = "1057-7149 (print), 1941-0042 (electronic)", ISSN-L = "1057-7149", MRclass = "Expansion", MRnumber = "2517274", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4623239", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Image Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83", } @Article{Chen:2008:NMH, author = "Bilian Chen and Changfeng Ma", title = "A note on: {``Modified Householder iterative method free from second derivatives for nonlinear equations'' [Appl. Math. Comput. {\bf 190} (2007), no. 2, 1701--1706; MR2339762] by M. A. Noor and V. Gupta}", journal = j-APPL-MATH-COMP, volume = "203", number = "2", pages = "913--915", day = "15", month = sep, year = "2008", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2008.04.010", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65H05", MRnumber = "2459010", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300308002178", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @TechReport{Demmel:2008:NND, author = "James W. Demmel and Yozo Hida and Mark F. Hoemmen and E. Jason Riedy", title = "Non-Negative Diagonals and High Performance on Low-Profile Matrices from {Householder} {$ Q R $}", type = "LAPACK Working Note", number = "203", institution = inst-UCB-EECS, address = inst-UCB-EECS:adr, day = "30", month = may, year = "2008", bibdate = "Fri Apr 24 12:25:43 2009", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/lawn.bib", URL = "http://www.netlib.org/lapack/lawnspdf/lawn203.pdf", abstract = "The Householder reflections used in LAPACK's {$ Q R $} factorization leave positive and negative real entries along {$R$}'s diagonal. This is sufficient for most applications of {$ Q R $} factorizations, but a few require that {$R$} have a non-negative diagonal. This note provides a new Householder generation routine to produce a non-negative diagonal. Additionally, we find that scanning for trailing zeros in the generated reflections leads to large performance improvements when applying reflections with many trailing zeros. Factoring low-profile matrices, those with non-zero entries mostly near the diagonal (e.g. band matrices), now requires far fewer operations. For example, {$ Q R $} factorization of matrices with profile width $b$ that are stored densely in an $ n \times n $ matrix improves from {$ O(n^3) $} to {$ O(n^2 + n b^2) $}.", acknowledgement = ack-nhfb, ucbnumber = "UCB/EECS-2008-76", } @InProceedings{Fukaya:2008:DPA, author = "T. Fukaya and Y. Yamamoto and S. Zhang", booktitle = "2008 IEEE International Conference on Cluster Computing", title = "A dynamic programming approach to optimizing the blocking strategy for the {Householder} {$ Q R $} decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "402--410", year = "2008", DOI = "https://doi.org/10.1109/CLUSTR.2008.4663801", ISBN = "1-4244-2639-1, 1-4244-2640-5", ISBN-13 = "978-1-4244-2639-3, 978-1-4244-2640-9", ISSN = "1552-5244 (print), 2168-9253 (electronic)", ISSN-L = "1552-5244", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4663801", acknowledgement = ack-nhfb, } @Article{Ivanov:2008:SAU, author = "Peter A. Ivanov and Nikolay V. Vitanov", title = "Synthesis of arbitrary unitary transformations of collective states of trapped ions by quantum {Householder} reflections", journal = j-PHYS-REV-A, volume = "77", number = "1", pages = "012335:1--012335:7", month = jan, year = "2008", CODEN = "PLRAAN", DOI = "https://doi.org/10.1103/PhysRevA.77.012335", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Fri Dec 21 09:46:25 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://link.aps.org/doi/10.1103/PhysRevA.77.012335", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", journal-URL = "http://pra.aps.org/browse", numpages = "7", } @Article{Jing:2008:VBD, author = "X. Jing and Z. Zhou and T. Zhang", title = "A {V-BLAST} Detector Based on Modified {Householder} {QRD} over the Spatially Correlated Fading Channel", journal = j-IEICE-TRANS-COMMUN, volume = "E91-B", number = "11", pages = "3727--3731", month = nov, year = "2008", CODEN = "ITCMEZ", DOI = "https://doi.org/10.1093/ietcom/e91-b.11.3727", ISSN = "0916-8516 (print), 1745-1345 (electronic)", ISSN-L = "0916-8516", bibdate = "Thu Dec 20 10:03:16 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", abstract = "We propose a feasible V-BLAST detector based on modified Householder QRD (M-H-QRD) over spatially correlated fading channel, which can almost match the performance of the V-BLAST algorithm with much lower complexity and better numerical stability. Compared to the sorted QRD (S-QRD) detector, the proposed detector requires a smaller minimum word-length to reach the same value of error floor for fixed-point (FP) numerical precision despite no significant performance difference for floating-point machine precision. All these advantages make it attractive when implemented using FP arithmetic.", acknowledgement = ack-nhfb, fjournal = "IEICE Transactions on Communications", } @Article{Matinfar:2008:SFL, author = "M. Matinfar and S. H. Nasseri and M. Sohrabi", title = "Solving fuzzy linear system of equations by using {Householder} decomposition method", journal = j-APPL-MATH-SCI-RUSE, volume = "2", number = "49-52", pages = "2569--2575", year = "2008", ISSN = "1312-885x (print), 1314-7552 (electronic)", ISSN-L = "1312-885X", MRclass = "65F05 (15A06 26E50 65F25)", MRnumber = "2480474", MRreviewer = "Ilse C. F. Ipsen", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematical Sciences", journal-URL = "http://www.m-hikari.com/ams/", } @Article{Rangelov:2008:PTT, author = "A. A. Rangelov and N. V. Vitanov and B. W. Shore", title = "Population trapping in three-state quantum loops revealed by {Householder} reflections", journal = j-PHYS-REV-A, volume = "77", number = "3", pages = "033404:1--033404:7", month = mar, year = "2008", CODEN = "PLRAAN", DOI = "https://doi.org/10.1103/PhysRevA.77.033404", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Fri Dec 21 09:48:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://link.aps.org/doi/10.1103/PhysRevA.77.033404", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", journal-URL = "http://pra.aps.org/browse", numpages = "7", } @InCollection{Rontogiannis:2008:HBR, author = "Athanasios A. Rontogiannis and Sergios Theodoridis", editor = "Jos{\'e} Antonio Apolin{\'a}rio", booktitle = "{QRD-RLS} Adaptive Filtering", title = "{Householder}-Based {RLS} Algorithms", chapter = "7", publisher = pub-SV, address = pub-SV:adr, pages = "1--23", month = dec, year = "2008", DOI = "https://doi.org/10.1007/978-0-387-09734-3_7", bibdate = "Fri Dec 21 15:05:09 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Salam:2008:EAC, author = "A. Salam and E. Al-Aidarous", title = "Error analysis and computational aspects of {$ S R $} factorization via optimal symplectic {Householder} transformations", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "33", pages = "189--206", year = "2008--2009", CODEN = "????", ISSN = "1068-9613 (print), 1097-4067 (electronic)", ISSN-L = "1068-9613", MRclass = "65F15", MRnumber = "2590854", MRreviewer = "Marc Van Barel", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/etna.bib", URL = "http://etna.mcs.kent.edu/vol.33.2008-2009/pp189-206.dir/pp189-206.pdf", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", journal-URL = "http://etna.mcs.kent.edu/", } @Article{Salam:2008:OSH, author = "A. Salam and E. Al-Aidarous and A. {El Farouk}", title = "Optimal symplectic {Householder} transformations for {$ S R $} decomposition", journal = j-LINEAR-ALGEBRA-APPL, volume = "429", number = "5--6", pages = "1334--1353", day = "1", month = sep, year = "2008", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2008.02.029", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F15", MRnumber = "2433181", MRreviewer = "Joost Rommes", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Salam:2008:SHT, author = "A. Salam and A. {El Farouk} and E. Al-Aidarous", title = "Symplectic {Householder} transformations for a {$ Q R $}-like decomposition, a geometric and algebraic approaches", journal = j-J-COMPUT-APPL-MATH, volume = "214", number = "2", pages = "533--548", day = "1", month = may, year = "2008", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2007.03.015", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F30", MRnumber = "2398350", MRreviewer = "Elena Zampieri", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042707001537", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Demmel:2009:NDH, author = "James W. Demmel and Mark Hoemmen and Yozo Hida and E. Jason Riedy", title = "Nonnegative Diagonals and High Performance on Low-Profile Matrices from {Householder} {$ Q R $}", journal = j-SIAM-J-SCI-COMP, volume = "31", number = "4", pages = "2832--2841", month = "????", year = "2009", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/080725763", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F30 (15-04 15A23 65-04)", MRnumber = "2520301", MRreviewer = "Ninoslav Truhar", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://epubs.siam.org/toc/sjoce3/31/4; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @InProceedings{Deng:2009:URN, author = "Shuo Deng and Jianming Hu and Yin Wang and Yi Zhang", booktitle = "{Advances in Neural Networks --- ISNN 2009}", title = "Urban Road Network Modeling and Real-Time Prediction Based on {Householder} Transformation and Adjacent Vector", publisher = pub-SV, address = pub-SV:adr, pages = "899--908", year = "2009", DOI = "https://doi.org/10.1007/978-3-642-01513-7_98", bibdate = "Fri Dec 21 15:03:48 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @InProceedings{Lin:2009:NOF, author = "X. Lin and L. XiuGuo and L. Yongsheng and G. Wei", booktitle = "2009 2nd Asian-Pacific Conference on Synthetic Aperture Radar", title = "A new orbit fitting algorithm of space-borne {SAR} based on {Householder} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "832--835", year = "2009", DOI = "https://doi.org/10.1109/APSAR.2009.5374184", ISBN = "1-4244-2731-2, 1-4244-2732-0", ISBN-13 = "978-1-4244-2731-4, 978-1-4244-2732-1", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5374184", acknowledgement = ack-nhfb, } @InProceedings{Liu:2009:APH, author = "Fangbin Liu and Frank J. Seinstra", booktitle = "{European Conference on Parallel Processing: Euro-Par 2009: Euro-Par 2009 Parallel Processing}", title = "Adaptive Parallel {Householder} Bidiagonalization", volume = "5704", publisher = pub-SV, address = pub-SV:adr, pages = "821--833", year = "2009", DOI = "https://doi.org/10.1007/978-3-642-03869-3_76", bibdate = "Fri Dec 21 15:06:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @InProceedings{Morel:2009:HLU, author = "Ivan Morel and Damien Stehl{\'e} and Gilles Villard", title = "{H-LLL}: using {Householder} inside {LLL}", crossref = "May:2009:PIS", pages = "271--278", year = "2009", DOI = "https://doi.org/10.1145/1576702.1576740", MRclass = "11Y40 (65F25)", MRnumber = "2742770", bibdate = "Tue Aug 11 18:45:25 MDT 2009", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/issac.bib", acknowledgement = ack-nhfb, } @Article{Strobach:2009:HSW, author = "Peter Strobach", title = "The {$ Q S $--Householder} sliding window bi-{SVD} subspace tracker", journal = j-IEEE-TRANS-SIG-PROC, volume = "57", number = "11", pages = "4260--4268", year = "2009", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2009.2025978", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "65F15 (94A12)", MRnumber = "2683175", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Strobach:2009:QHS, author = "P. Strobach", title = "The {$ Q S $--Householder} Sliding Window Bi-{SVD} Subspace Tracker", journal = j-IEEE-TRANS-SIG-PROC, volume = "57", number = "11", pages = "4260--4268", year = "2009", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2009.2025978", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5153280", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Strobach:2009:SRH, author = "Peter Strobach", title = "Square-root {Householder} subspace tracking", journal = j-NUM-MATH, volume = "113", number = "1", pages = "89--121", month = jul, year = "2009", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s00211-009-0229-3", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18 47A50 94A12)", MRnumber = "2511760", MRreviewer = "Dario Fasino", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=113&issue=1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath2000.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=113&issue=1&spage=89", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zhu:2009:SIE, author = "Sheng-xin Zhu and Tong-xiang Gu and Xing-ping Liu", title = "Solving inverse eigenvalue problems via {Householder} and rank-one matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "430", number = "1", pages = "318--334", day = "1", month = jan, year = "2009", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2008.07.021", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F18", MRnumber = "2460520", MRreviewer = "Marc Van Barel", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Cabrera:2010:CCDa, author = "Renan Cabrera and Traci Strohecker and Herschel Rabitz", title = "The canonical coset decomposition of unitary matrices through {Householder} transformations", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "14", month = aug, year = "2010", bibdate = "Fri Dec 21 10:19:10 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1008.2477", abstract = "This paper reveals the relation between the canonical coset decomposition of unitary matrices and the corresponding decomposition via Householder reflections. These results can be used to parametrize unitary matrices via Householder reflections.", acknowledgement = ack-nhfb, } @Article{Cabrera:2010:CCDb, author = "Renan Cabrera and Traci Strohecker and Herschel Rabitz", title = "The canonical coset decomposition of unitary matrices through {Householder} transformations", journal = j-J-MATH-PHYS, volume = "51", number = "8", pages = "082101:1--082101:7", month = aug, year = "2010", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.3466798", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81R05 (15B10)", MRnumber = "2683514", MRreviewer = "Zeynep Nilhan Gurkan", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v51/i8/p082101_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "3 August 2010", pagecount = "7", } @Article{Clapperton:2010:NTR, author = "James A. Clapperton and Peter J. Larcombe and Eric J. Fennessey", title = "New theory and results from an algebraic application of {Householder} root finding schemes", journal = j-UTIL-MATH, volume = "83", pages = "3--36", year = "2010", CODEN = "UTMADA", ISSN = "0315-3681", ISSN-L = "0315-3681", MRclass = "33C45 (33C05)", MRnumber = "2742272", MRreviewer = "M. K. Jain", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Utilitas Mathematica", } @InProceedings{Huang:2010:ISM, author = "Q. Huang and L. Zhang and G. Lu and C. Wang", booktitle = "{IEEE 10th International Conference on Signal Processing: Proceedings}", title = "Interference suppression method for space-time navigation receivers based on samples selection {Householder} multistage {Wiener} filter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "143--146", year = "2010", DOI = "https://doi.org/10.1109/ICOSP.2010.5657039", ISBN = "1-4244-5900-1, 1-4244-5897-8, 1-4244-5899-4", ISBN-13 = "978-1-4244-5900-1, 978-1-4244-5897-4, 978-1-4244-5899-8", ISSN = "2164-5221 (print), 2164-523X (electronic)", ISSN-L = "2164-5221", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5657039", acknowledgement = ack-nhfb, } @Article{Islam:2010:NFH, author = "K. M. Z. Islam and N. Al-Dhahir and R. McKown and R. Dawes and C. Stillo", title = "A New Fast {Householder}-Based Fractionally-Spaced {FIR} {MMSE-DFE} Computation Algorithm and its Real-Time Implementation", journal = j-IEEE-COMMUN-LET, volume = "14", number = "11", pages = "1065--1067", year = "2010", CODEN = "ICLEF6", DOI = "https://doi.org/10.1109/LCOMM.2010.093010.100816", ISSN = "1089-7798 (print), 1558-2558 (electronic)", ISSN-L = "1089-7798", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5598320", acknowledgement = ack-nhfb, fjournal = "IEEE Communications Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4234", } @Article{Nasseri:2010:HMS, author = "S. H. Nasseri and M. Sohrabi", title = "{Householder} method for solving fully fuzzy linear systems", journal = j-INT-J-APPL-MATH, volume = "23", number = "3", pages = "479--489", year = "2010", ISSN = "1311-1728 (print), 1314-8060 (electronic)", ISSN-L = "1311-1728", MRclass = "15B15 (03E72 15A06)", MRnumber = "2676537", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Mathematics", journal-URL = "http://www.diogenes.bg/ijam/", } @Article{Nofre:2010:UAU, author = "David Nofre", title = "Unraveling {Algol}: {US}, {Europe}, and the Creation of a Programming Language", journal = j-IEEE-ANN-HIST-COMPUT, volume = "32", number = "2", pages = "58--68", month = apr # "\slash " # jun, year = "2010", CODEN = "IAHCEX", DOI = "https://doi.org/10.1109/MAHC.2010.4", ISSN = "1058-6180 (print), 1934-1547 (electronic)", ISSN-L = "1058-6180", bibdate = "Thu May 13 10:26:12 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib", URL = "https://www.researchgate.net/profile/David_Nofre/publication/224107164_Unraveling_Algol_US_Europe_and_the_Creation_of_a_Programming_Language", acknowledgement = ack-nhfb, fjournal = "IEEE Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85", } @InProceedings{Sajid:2010:FBO, author = "I. Sajid and M. M. Ahmed and M. Sahgeer", booktitle = "4th International Conference on New Trends in Information Science and Service Science", title = "{FPGA}-based optimized architecture for face recognition using fixed point {Householder} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "139--144", year = "2010", ISBN = "89-88678-17-6, 1-4244-6982-1", ISBN-13 = "978-89-88678-17-6, 978-1-4244-6982-6", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5488631", acknowledgement = ack-nhfb, } @Article{Trefethen:2010:HTQ, author = "Lloyd N. Trefethen", title = "{Householder} triangularization of a quasimatrix", journal = j-IMA-J-NUMER-ANAL, volume = "30", number = "4", pages = "887--897", month = oct, year = "2010", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drp018", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F25 (15A03 65D05 65F20 65T50)", MRnumber = "2727808 (2012c:65070)", MRreviewer = "Pablo Guerrero-Garc{\'{\i}}a", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://imanum.oxfordjournals.org/content/30/4.toc; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", URL = "http://imajna.oxfordjournals.org/content/30/4/887.full.pdf+html", abstract = "A standard algorithm for computing the QR factorization of a matrix $A$ is Householder triangularization. Here this idea is generalized to the situation in which $A$ is a quasimatrix, that is, a `matrix' whose `columns' are functions defined on an interval $ [a, b] $. Applications are mentioned to quasimatrix least squares fitting, singular value decomposition and determination of ranks, norms and condition numbers, and numerical illustrations are presented using the chebfun system.", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "chebfun; Householder triangularization; Matlab; QR factorization; quasimatrix; singular value decomposition", onlinedate = "August 21, 2009", } @Article{Urias:2010:HFU, author = "Jes{\'u}s Ur{\'\i}as", title = "{Householder} factorizations of unitary matrices", journal = j-J-MATH-PHYS, volume = "51", number = "7", pages = "072204:1--072204:9", month = jul, year = "2010", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.3451111", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "15B10 (15A23 81P40)", MRnumber = "2681077", MRreviewer = "Nicola Mastronardi", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v51/i7/p072204_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "21 July 2010", pagecount = "9", } @Article{Zhang:2010:HTB, author = "Wei-Tao Zhang and Shun-Tian Lou", title = "{Householder} transform based joint diagonal zero diagonalization for source separation using time-frequency distributions", journal = "Multidimensional Systems and Signal Processing", volume = "21", number = "2", pages = "161--177", year = "2010", DOI = "https://doi.org/10.1007/s11045-009-0094-3", ISSN = "0923-6082 (print), 1573-0824 (electronic)", ISSN-L = "0923-6082", MRclass = "94A12 (65F25)", MRnumber = "2609658", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://link.springer.com/article/10.1007/s11045-009-0094-3", acknowledgement = ack-nhfb, ajournal = "Multidimens. Syst. Signal Process.", fjournal = "Multidimensional Systems and Signal Processing. An International Journal", } @InProceedings{Bowen:2011:RCH, author = "C. Bowen", booktitle = "2011 Fourth International Conference on Intelligent Computation Technology and Automation", title = "A Recursive Complex {Householder} Transformation Algorithm and its Applications", volume = "2", number = "", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "945--948", year = "2011", DOI = "https://doi.org/10.1109/ICICTA.2011.522", ISBN = "1-61284-289-5", ISBN-13 = "978-1-61284-289-9", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5751047", acknowledgement = ack-nhfb, } @InProceedings{He:2011:EMS, author = "Y. He", booktitle = "2011 International Conference on Computational and Information Sciences", title = "An Efficient Method to Solve Small Sample Size Problem of {LDA} Using {Householder} {$ Q R $} Factorization for Face Recognition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "79--82", year = "2011", DOI = "https://doi.org/10.1109/ICCIS.2011.73", ISBN = "1-4577-1540-6, 0-7695-4501-7", ISBN-13 = "978-1-4577-1540-2, 978-0-7695-4501-1", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6086138", acknowledgement = ack-nhfb, } @Article{Irving:2011:BHR, author = "Geoffrey Irving", title = "Banded {Householder} representation of linear subspaces", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "30", month = aug, year = "2011", bibdate = "Fri Dec 21 11:25:08 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1108.5822v1", abstract = "We show how to compactly represent any n-dimensional subspace of $ R_m $ as a banded product of Householder reflections using $ n(m n) $ floating point numbers. This is optimal since these subspaces form a Grassmannian space $ G r_n(m) $ of dimension $ n(m n) $. The representation is stable and easy to compute: any matrix can be factored into the product of a banded Householder matrix and a square matrix using two to three $ Q R $ decompositions.", acknowledgement = ack-nhfb, } @InProceedings{Stewart:2011:WTE, author = "G. W. Stewart", booktitle = "{Householder Symposium XVIII on Numerical Linear Algebra, June 12--17, 2011. Granlibakken Conference Center \& Lodge, Tahoe City, California}", title = "When Is Twice Enough? ({The} Oblique Case)", publisher = "????", address = "????", bookpages = "x + 272", pages = "220--221", year = "2011", bibdate = "Tue Mar 6 11:55:41 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib", URL = "http://www.maths.manchester.ac.uk/~higham/conferences/householder/HH11_Abstracts.pdf", acknowledgement = ack-do, } @Article{vandeGeijn:2011:HPD, author = "Robert A. van de Geijn and Field G. {Van Zee}", title = "High-performance up-and-downdating via {Householder}-like transformations", journal = j-TOMS, volume = "38", number = "1", pages = "4:1--4:17", month = nov, year = "2011", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2049662.2049666", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F25)", MRnumber = "2865014", bibdate = "Thu Dec 15 08:59:34 MST 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/multithreading.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "We present high-performance algorithms for up-and-downdating a Cholesky factor or QR factorization. The method uses Householder-like transformations, sometimes called hyperbolic Householder transformations, that are accumulated so that most computation can be cast in terms of high-performance matrix-matrix operations. The resulting algorithms can then be used as building blocks for an algorithm-by-blocks that allows computation to be conveniently scheduled to multithreaded architectures like multicore processors. Performance is shown to be similar to that achieved by a blocked QR factorization via Householder transformations.", acknowledgement = ack-nhfb, articleno = "4", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @InProceedings{Yuanyuan:2011:NAB, author = "Wen Yuanyuan and Chen Hao", booktitle = "2011 IEEE International Conference on Computer Science and Automation Engineering", title = "A new algorithm based on joint diagonalization by the {Householder} transformation for convolutive blind separation", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "348--352", year = "2011", DOI = "https://doi.org/10.1109/CSAE.2011.5952695", ISBN = "1-4244-8728-5, 1-4244-8727-7, 1-4244-8726-9", ISBN-13 = "978-1-4244-8728-8, 978-1-4244-8727-1, 978-1-4244-8726-4", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5952695", acknowledgement = ack-nhfb, } @Article{Agoujil:2012:SMG, author = "S. Agoujil and A. H. Bentbib", title = "Symplectic modified {Gram--Schmidt} as a symplectic {Householder} {$ S R $} factorization", journal = "Int. J. Math. Stat.", volume = "11", number = "1", pages = "58--69", year = "2012", ISSN = "0973-8347 (print), 0974-7117 (electronic)", ISSN-L = "0973-8347", MRclass = "65F20 (15A23 65F25)", MRnumber = "2822301", MRreviewer = "Dario Fasino", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Mathematics and Statistics", } @Article{Baarman:2012:DME, author = "K. Baarman and T. Eirola and V. Havu", title = "Direct minimization of electronic structure calculations with {Householder} reflections", journal = "arxiv.org", volume = "??", number = "??", pages = "1--15", day = "5", month = apr, year = "2012", bibdate = "Thu Dec 20 10:05:21 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1204.1204", abstract = "We consider a minimization scheme based on the Householder transport operator for the Grassman manifold, where a point on the manifold is represented by a $ m \times n $ matrix with orthonormal columns. In particular, we consider the case where $ m \gg n $ and present a method with asymptotic complexity $ m n^2 $. To avoid explicit parametrization of the manifold we use Householder transforms to move on the manifold, and present a formulation for simultaneous Householder reflections for $S$-orthonormal columns. We compare a quasi-Newton and nonlinear conjugate gradient implementation adapted to the manifold with a projected nonlinear conjugate gradient method, and demonstrate that the convergence rate is significantly improved if the manifold is taken into account when designing the optimization procedure.", acknowledgement = ack-nhfb, } @Article{Clapperton:2012:NCF, author = "James A. Clapperton and Peter J. Larcombe and Eric J. Fennessey", title = "New closed forms for {Householder} root finding functions and associated non-linear polynomial identities", journal = j-UTIL-MATH, volume = "87", pages = "131--150", year = "2012", CODEN = "UTMADA", ISSN = "0315-3681", ISSN-L = "0315-3681", MRclass = "05A19 (33E99)", MRnumber = "2919992", MRreviewer = "Lun Lv", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Utilitas Mathematica", } @Article{delaRosa:2012:HM, author = "Kennett L. de la Rosa and Dennis I. Merino and Agnes T. Paras", title = "The {$J$}--{Householder} matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "436", number = "5", pages = "1189--1194", day = "1", month = mar, year = "2012", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2011.08.002", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A23 (15A21)", MRnumber = "2890912", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0024379511005684", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Hafiz:2012:MHI, author = "M. A. Hafiz and M. S. M. Bahgat", title = "Modified of {Householder} iterative method for solving nonlinear systems", journal = "Journal of Mathematical and Computational Science", volume = "2", number = "5", pages = "1200--1208", year = "2012", ISSN = "1927-5307", ISSN-L = "1927-5307", MRclass = "47J25 (47H09)", MRnumber = "2980140", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.researchgate.net/publication/264833135_Modified_of_Householder_Iterative_Method_for_Solving_Nonlinear_Systems", acknowledgement = ack-nhfb, ajournal = "J. Math. Comput. Sci.", fjournal = "Journal of Mathematical and Computational Science", xxnote = "Non-English title is as published.", } @InProceedings{Hang:2012:SGS, author = "H. Hang and G. Conghui and Y. Xiaoyang", booktitle = "{Proceedings of 2012 5th Global Symposium on Millimeter-Waves}", title = "Study for generalized sidelobe canceller at subarray level based on {Householder} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "63--66", year = "2012", DOI = "https://doi.org/10.1109/GSMM.2012.6314007", ISBN = "1-4673-1305-X, 1-4673-1302-5, 1-4673-1304-1", ISBN-13 = "978-1-4673-1305-6, 978-1-4673-1302-5, 978-1-4673-1304-9", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6314007", acknowledgement = ack-nhfb, } @Article{Irving:2012:BHR, author = "G. Irving", title = "Banded {Householder} representation of linear subspaces", journal = j-LINEAR-ALGEBRA-APPL, volume = "436", number = "9", pages = "3196--3200", day = "1", month = may, year = "2012", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2011.10.032", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A23 (15A03)", MRnumber = "2900707", MRreviewer = "Grey Malone Ballard", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0024379511007294", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Liu:2012:NMS, author = "J. Liu and J. Zhang", title = "A New Maximum Simplex Volume Method Based on {Householder} Transformation for Endmember Extraction", journal = j-IEEE-TRANS-GEOSCI-REMOTE-SENSING, volume = "50", number = "1", pages = "104--118", year = "2012", CODEN = "IGRSD2", DOI = "https://doi.org/10.1109/TGRS.2011.2158829", ISSN = "0196-2892 (print), 1558-0644 (electronic)", ISSN-L = "0196-2892", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5944969", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Geoscience and Remote Sensing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=36", } @Article{Merino:2012:HM, author = "Dennis I. Merino and Agnes T. Paras and Terrence Erard D. Teh", title = "The {$ \Lambda_S $--Householder} matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "436", number = "7", pages = "2653--2664", day = "1", month = apr, year = "2012", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2011.10.003", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A21 (15A23)", MRnumber = "2890024", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S002437951100694X", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Mori:2012:BEA, author = "Daisuke Mori and Yusaku Yamamoto and Shao-Liang Zhang", title = "Backward error analysis of the {AllReduce} algorithm for {Householder} {$ Q R $} decomposition", journal = "Japan Journal of Industrial and Applied Mathematics", volume = "29", number = "1", pages = "111--130", month = feb, year = "2012", DOI = "https://doi.org/10.1007/s13160-011-0053-x", ISSN = "0916-7005 (print), 1868-937X (electronic)", ISSN-L = "0916-7005", MRclass = "65F25 (65F35 65G50)", MRnumber = "2890357", MRreviewer = "Alexander N. Malyshev", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, ajournal = "Jpn. J. Ind. Appl. Math.", fjournal = "Japan Journal of Industrial and Applied Mathematics", } @Article{Smith:2012:UHM, author = "Aaron Carl Smith", title = "Using {Householder} Matrices to Establish Mixing Test Critical Values", journal = "arxiv.org", volume = "??", number = "??", pages = "1--24", day = "24", month = oct, year = "2012", bibdate = "Fri Dec 21 10:20:10 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1210.6492", abstract = "A measure-preserving dynamical system can be approximated by a Markov shift with a bistochastic matrix. This leads to using empirical stochastic matrices to measure and estimate properties of stirring protocols. Specifically, the second largest eigenvalue can be used to statistically decide if a stirring protocol is weak-mixing, ergodic, or nonergodic. Such hypothesis tests require appropriate probability distributions. In this paper, we propose using Monte Carlo empirical probability distributions from unistochastic matrices to establish critical values. These unistochastic matrices arise from randomly constructed Householder matrices.", acknowledgement = ack-nhfb, } @InProceedings{Yang:2012:AHB, author = "W. Yang and Z. Liu", booktitle = "{Proceedings of The 2012 Asia Pacific Signal and Information Processing Association Annual Summit and Conference}", title = "Accelerating {Householder} bidiagonalization with ARM NEON technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2012", ISBN = "0-615-70050-0, 1-4673-4863-5", ISBN-13 = "978-0-615-70050-2, 978-1-4673-4863-8", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6411821", acknowledgement = ack-nhfb, } @Article{Cui:2013:HTB, author = "Bo Wen Cui", title = "{Householder}-transformation-based recursive least square estimator algorithm for complex-valued parameters", journal = "J. Anhui Univ. Nat. Sci.", volume = "37", number = "4", pages = "14--20", year = "2013", ISSN = "1000-2162", ISSN-L = "1000-2162", MRclass = "65F25", MRnumber = "3136535", MRreviewer = "Lei-Hong Zhang", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Anhui University. Natural Science Edition. Anhui Daxue Xuebao. Ziran Kexue Ban", } @TechReport{Demmel:2013:RHV, author = "James Demmel and Grey Malone Ballard and Laura Grigori and Mathias Jacquelin and Hong Diep Nguyen and Edgar Solomonik", title = "Reconstructing {Householder} Vectors from Tall-Skinny {$ Q R $}", type = "Report", number = "SAND2013-9366C 480703", institution = "Sandia National Laboratory", address = "Albuquerque, NM, USA", pages = "28", day = "1", month = oct, year = "2013", bibdate = "Fri Dec 21 07:45:19 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/1116855-reconstructing-householder-vectors-from-tall-skinny-qr", abstract = "The Tall-Skinny QR (TSQR) algorithm is more communication efficient than the standard Householder algorithm for QR decomposition of matrices with many more rows than columns. However, TSQR produces a different representation of the orthogonal factor and therefore requires more software development to support the new representation. Further, implicitly applying the orthogonal factor to the trailing matrix in the context of factoring a square matrix is more complicated and costly than with the Householder representation.\par We show how to perform TSQR and then reconstruct the Householder vector representation with the same asymptotic communication efficiency and little extra computational cost. We demonstrate the high performance and numerical stability of this algorithm both theoretically and empirically. The new Householder reconstruction algorithm allows us to design more efficient parallel QR algorithms, with significantly lower latency cost compared to Householder QR and lower bandwidth and latency costs compared with Communication-Avoiding QR (CAQR) algorithm. As a result, our final parallel QR algorithm outperforms ScaLAPACK and Elemental implementations of Householder QR and our implementation of CAQR on the Hopper Cray XE6 NERSC system.", acknowledgement = ack-nhfb, } @InProceedings{Kurniawan:2013:MHB, author = "I. H. Kurniawan and J. Yoon and J. Park", booktitle = "2013 IEEE International Symposium on Circuits and Systems (ISCAS2013)", title = "Multidimensional {Householder} based high-speed {$ Q R $} decomposition architecture for {MIMO} receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2159--2162", year = "2013", DOI = "https://doi.org/10.1109/ISCAS.2013.6572302", ISBN = "1-4673-5762-6, 1-4673-5760-X, 1-4673-5761-8", ISBN-13 = "978-1-4673-5762-3, 978-1-4673-5760-9, 978-1-4673-5761-6", ISSN = "0271-4302 (print), 2158-1525 (electronic)", ISSN-L = "0271-4302", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6572302", acknowledgement = ack-nhfb, } @Article{Li:2013:NCI, author = "Xi-Lin Li and T{\"u}lay {Adal\i}", title = "Noncircular Complex {ICA} by Generalized {Householder} Reflections", journal = j-IEEE-TRANS-SIG-PROC, volume = "61", number = "24", pages = "6423--6430", year = "2013", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2013.2286113", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "94A12", MRnumber = "3148329", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6636089", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Lopes:2013:TVD, author = "D. S. Lopes and M. T. Silva and J. A. Ambr{\'o}sio", title = "Tangent vectors to a {$3$-D} surface normal: a geometric tool to find orthogonal vectors based on the {Householder} transformation", journal = j-COMPUT-AIDED-DES, volume = "45", number = "3", pages = "683--694", year = "2013", CODEN = "CAIDA5", DOI = "https://doi.org/10.1016/j.cad.2012.11.003", ISSN = "0010-4485 (print), 1879-2685 (electronic)", ISSN-L = "0010-4485", MRclass = "74M15", MRnumber = "3043275", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Computer-Aided Design", journal-URL = "http://www.sciencedirect.com/science/journal/00104485", } @Article{Noble:2013:GHTa, author = "J. H. Noble and M. Lubasch and U. D. Jentschura", title = "Generalized {Householder} Transformations for the Complex Symmetric Eigenvalue Problem", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "24", month = jan, year = "2013", bibdate = "Fri Dec 21 10:07:11 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1301.5758", abstract = "We present an intuitive and scalable algorithm for the diagonalization of complex symmetric matrices, which arise from the projection of pseudo--Hermitian and complex scaled Hamiltonians onto a suitable basis set of ``trial'' states. The algorithm diagonalizes complex and symmetric (non--Hermitian) matrices and is easily implemented in modern computer languages. It is based on generalized Householder transformations and relies on iterative similarity transformations $ T \to T' = Q^T T Q $, where $Q$ is a complex and orthogonal, but not unitary, matrix, i.e., $ Q^T$ equals $ Q^{( - 1)}$ but $ Q^+$ is different from $ Q^( - 1)$. We present numerical reference data to support the scalability of the algorithm. We construct the generalized Householder transformations from the notion that the conserved scalar product of eigenstates $ \Psi_n$ and $ \Psi_m$ of a pseudo-Hermitian quantum mechanical Hamiltonian can be reformulated in terms of the generalized indefinite inner product $ \int \Psi_n(x, t) \Psi_m(x, t) \, d x$, where the integrand is locally defined, and complex conjugation is avoided. A few example calculations are described which illustrate the physical origin of the ideas used in the construction of the algorithm.", acknowledgement = ack-nhfb, } @Article{Noble:2013:GHTb, author = "J. H. Noble and M. Lubasch and U. D. Jentschura", title = "Generalized {Householder} transformations for the complex symmetric eigenvalue problem", journal = j-EUR-PHYS-J-PLUS, volume = "128", number = "8", pages = "128:93--128:??", month = aug, year = "2013", CODEN = "EPJPA3", DOI = "https://doi.org/10.1140/epjp/i2013-13093-1", ISSN = "2190-5444", ISSN-L = "2190-5444", bibdate = "Fri Dec 21 10:09:12 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "The European Physical Journal Plus", journal-URL = "http://link.springer.com/journal/13360", } @Article{Petricevic:2013:HAC, author = "Vinko Petri{\v{c}}evi{\'c}", title = "{Householder}'s approximants and continued fraction expansion of quadratic irrationals", journal = "Glas. Mat. Ser. III", volume = "48(68)", number = "2", pages = "231--247", year = "2013", DOI = "https://doi.org/10.3336/gm.48.2.02", ISSN = "0017-095X (print), 1846-7989 (electronic)", ISSN-L = "0017-095X", MRclass = "11A55", MRnumber = "3151105", MRreviewer = "Florian Pausinger", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Glasnik Matemati\v{c}ki. Serija III", } @InProceedings{Sianaki:2013:FTA, author = "O. A. Sianaki and M. A. S. Masoum", booktitle = "2013 IEEE PES Innovative Smart Grid Technologies Conference (ISGT)", title = "A fuzzy {TOPSIS} approach for home energy management in smart grid with considering {Householders}' preferences", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2013", DOI = "https://doi.org/10.1109/ISGT.2013.6497819", ISBN = "1-4673-4896-1, 1-4673-4894-5, 1-4673-4895-3", ISBN-13 = "978-1-4673-4896-6, 978-1-4673-4894-2, 978-1-4673-4895-9", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6497819", acknowledgement = ack-nhfb, } @InProceedings{Yang:2013:DCB, author = "Xiaopeng Yang and Yuze Sun and Yongxu Liu and Ji Zhang", booktitle = "{IET International Radar Conference 2013}", title = "Derivative constraint-based {Householder} multistage {Wiener} filter for adaptive beamforming", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2013", DOI = "https://doi.org/10.1049/cp.2013.0431", ISBN = "1-84919-603-6", ISBN-13 = "978-1-84919-603-1", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6624595", acknowledgement = ack-nhfb, } @TechReport{Ballard:2014:RHVa, author = "Grey Ballard and James Demmel and Laura Grigori and Mathias Jacquelin and Hong Diep Nguyen and Edgar Solomonik", title = "Reconstructing {Householder} vectors from {TSQR}", type = "Report", number = "SAND2014-1384C 503512", institution = "Sandia National Laboratory", address = "Albuquerque, NM, USA", pages = "19", day = "1", month = feb, year = "2014", bibdate = "Fri Dec 21 07:32:27 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "Lecture slides.", URL = "https://www.osti.gov/biblio/1315576-reconstructing-householder-vectors-from-tsqr", acknowledgement = ack-nhfb, remark = "Presented at the SIAM Conference on Parallel Processing and Scientific Computing held February 17--21, 2014 in Portland, OR.", } @InProceedings{Ballard:2014:RHVb, author = "G. Ballard and J. Demmel and L. Grigori and M. Jacquelin and H. D. Nguyen and E. Solomonik", booktitle = "2014 IEEE 28th International Parallel and Distributed Processing Symposium", title = "Reconstructing {Householder} Vectors from Tall--Skinny {$ Q R $}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1159--1170", year = "2014", DOI = "https://doi.org/10.1109/IPDPS.2014.120", ISBN = "1-4799-3800-9, 1-4799-3799-1", ISBN-13 = "978-1-4799-3800-1, 978-1-4799-3799-8", ISSN = "1530-2075", ISSN-L = "1530-2075", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6877344", acknowledgement = ack-nhfb, } @InProceedings{Javed:2014:NCE, author = "Shazia Javed and Noor Atinah Ahmad", editor = "H. Mat Sakim and M. Mustaffa", booktitle = "{Proceedings of the 8th International Conference on Robotic, Vision, Signal Processing \& Power Applications}", title = "Noise Cancelation From {ECG} Signals Using {Householder-RLS} Adaptive Filter", publisher = "Springer", address = "Singapore", pages = "73--79", year = "2014", DOI = "https://doi.org/10.1007/978-981-4585-42-2_9", bibdate = "Fri Dec 21 15:11:13 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = "Lecture Notes in Electrical Engineering", acknowledgement = ack-nhfb, } @Article{Salam:2014:EBM, author = "A. Salam and E. Al-Aidarous", title = "Equivalence between modified symplectic {Gram--Schmidt} and {Householder} {$ S R $} algorithms", journal = j-BIT-NUM-MATH, volume = "54", number = "1", pages = "283--302", month = mar, year = "2014", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-013-0441-5", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F15 (65F35 65F50)", MRnumber = "3177965", MRreviewer = "A. Bultheel", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=54&issue=1; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://link.springer.com/article/10.1007/s10543-013-0441-5", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", } @Article{Soleimani:2014:EHM, author = "Farahnaz Soleimani and Fazlollah Soleymani and Alicia Cordero and Juan R. Torregrosa", title = "On the extension of {Householder}'s method for weighted {Moore--Penrose} inverse", journal = j-APPL-MATH-COMP, volume = "231", number = "??", pages = "407--413", day = "15", month = mar, year = "2014", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2014.01.021", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65F05 (15A09 65F25)", MRnumber = "3174041", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300314000587", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @Article{Wu:2014:EAM, author = "Jian-ping Wu and Jun-qiang Song and Wei-min Zhang", title = "An efficient and accurate method to compute the {Fiedler} vector based on {Householder} deflation and inverse power iteration", journal = j-J-COMPUT-APPL-MATH, volume = "269", number = "??", pages = "101--108", day = "15", month = oct, year = "2014", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2014.03.018", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F15 (05C50)", MRnumber = "3197275", MRreviewer = "Raffaella Pavani", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042714001587", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Ballard:2015:RHV, author = "G. Ballard and J. Demmel and L. Grigori and M. Jacquelin and N. Knight and H. D. Nguyen", title = "Reconstructing {Householder} vectors from {Tall--Skinny $ Q R $}", journal = j-J-PAR-DIST-COMP, volume = "85", number = "??", pages = "3--31", month = nov, year = "2015", CODEN = "JPDCER", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Sat Sep 26 07:40:06 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jpardistcomp.bib", URL = "http://www.sciencedirect.com/science/article/pii/S074373151500101X; https://www.osti.gov/biblio/1236219-reconstructing-householder-vectors-from-tall-skinny-qr", abstract = "The Tall-Skinny QR (TSQR) algorithm is more communication efficient than the standard Householder algorithm for QR decomposition of matrices with many more rows than columns. However, TSQR produces a different representation of the orthogonal factor and therefore requires more software development to support the new representation. Further, implicitly applying the orthogonal factor to the trailing matrix in the context of factoring a square matrix is more complicated and costly than with the Householder representation. We show how to perform TSQR and then reconstruct the Householder vector representation with the same asymptotic communication efficiency and little extra computational cost. We demonstrate the high performance and numerical stability of this algorithm both theoretically and empirically. The new Householder reconstruction algorithm allows us to design more efficient parallel QR algorithms, with significantly lower latency cost compared to Householder QR and lower bandwidth and latency costs compared with Communication-Avoiding QR (CAQR) algorithm. Experiments on supercomputers demonstrate the benefits of the communication cost improvements: in particular, our experiments show substantial improvements over tuned library implementations for tall-and-skinny matrices. Furthermore, we also provide algorithmic improvements to the Householder QR and CAQR algorithms, and we investigate several alternatives to the Householder reconstruction algorithm that sacrifice guarantees on numerical stability in some cases in order to obtain higher performance.", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315/", } @TechReport{Dong:2015:FBG, author = "Tingzing Tim Dong and Stanimire Z. Tomov and Piotr R. Luszczek and Jack J. Dongarra", title = "A Framework for Batched and {GPU}-Resident Factorization Algorithms Applied to Block {Householder} Transformations", type = "Technical Report", institution = inst-ORNL, address = inst-ORNL:adr, day = "1", month = jan, year = "2015", bibdate = "Fri Dec 21 07:37:30 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://www.osti.gov/biblio/1261481-framework-batched-gpu-resident-factorization-algorithms-applied-block-householder-transformations", abstract = "As modern hardware keeps evolving, an increasingly effective approach to developing energy efficient and high-performance solvers is to design them to work on many small size and independent problems. Many applications already need this functionality, especially for GPUs, which are currently known to be about four to five times more energy efficient than multicore CPUs. We describe the development of one-sided factorizations that work for a set of small dense matrices in parallel, and we illustrate our techniques on the QR factorization based on Householder transformations. We refer to this mode of operation as a batched factorization. Our approach is based on representing the algorithms as a sequence of batched BLAS routines for GPU-only execution. This is in contrast to the hybrid CPU-GPU algorithms that rely heavily on using the multicore CPU for specific parts of the workload. But for a system to benefit fully from the GPU's significantly higher energy efficiency, avoiding the use of the multicore CPU must be a primary design goal, so the system can rely more heavily on the more efficient GPU. Additionally, this will result in the removal of the costly CPU-to-GPU communication. Furthermore, we do not use a single symmetric multiprocessor(on the GPU) to factorize a single problem at a time. We illustrate how our performance analysis, and the use of profiling and tracing tools, guided the development and optimization of our batched factorization to achieve up to a 2-fold speedup and a 3-fold energy efficiency improvement compared to our highly optimized batched CPU implementations based on the MKL library(when using two sockets of Intel Sandy Bridge CPUs). Compared to a batched QR factorization featured in the CUBLAS library for GPUs, we achieved up to $ 5 \times $ speedup on the K40 GPU.", acknowledgement = ack-nhfb, } @Article{ElGhawalby:2015:HKE, author = "Hewayda ElGhawalby and Edwin Hancock", title = "Heat Kernel Embeddings, Differential Geometry and Graph Structure", journal = j-AXIOMS-BASEL, volume = "4", number = "3", pages = "275--293", month = jul, year = "2015", DOI = "https://doi.org/10.3390/axioms4030275", ISSN = "2075-1680", bibdate = "Sat Dec 22 10:09:19 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Axioms (Basel)", journal-URL = "https://www.mdpi.com/journal/axioms", keywords = "Young- Householder decomposition", } @InProceedings{Fukaya:2015:PAH, author = "Takeshi Fukaya and Toshiyuki Imamura and Yusaku Yamamoto", editor = "M. Dayd{\'e} and O. Marques and K. Nakajima", booktitle = "{High Performance Computing for Computational Science --- VECPAR 2014}", title = "Performance Analysis of the {Householder}-Type Parallel {Tall--Skinny $ Q R $} Factorizations Toward Automatic Algorithm Selection", volume = "8969", publisher = pub-SV, address = pub-SV:adr, pages = "269--283", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-17353-5_23", bibdate = "Fri Dec 21 15:14:23 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @InCollection{Haidar:2015:FBG, author = "Azzam Haidar and Tingxing Tim Dong and Stanimire Tomov and Piotr Luszczek and Jack Dongarra", booktitle = "{High Performance Computing. ISC High Performance 2015}", title = "A Framework for Batched and {GPU}-Resident Factorization Algorithms Applied to Block {Householder} Transformations", publisher = "Springer International Publishing", address = "Cham, Switzerland", pages = "31--47", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-20119-1_3", bibdate = "Fri Dec 21 15:19:09 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @Article{Huang:2015:DAE, author = "G. Huang and J. Chen and J. Benesty", title = "Direction-of-arrival estimation of passive acoustic sources in reverberant environments based on the {Householder} transformation", journal = j-J-ACOUST-SOC-AM, volume = "138", number = "5", pages = "3053--3060", month = nov, year = "2015", CODEN = "JASMAN", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Sat Dec 22 09:38:14 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", } @InProceedings{Korayem:2015:BHB, author = "R. K. R. Korayem", booktitle = "2015 32nd National Radio Science Conference (NRSC)", title = "{B4}. {Householder} based {Bayesian} beamformer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "27--35", year = "2015", DOI = "https://doi.org/10.1109/NRSC.2015.7117811", ISBN = "1-4799-7723-3, 1-4799-9945-8", ISBN-13 = "978-1-4799-7723-9, 978-1-4799-9945-3", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7117811", acknowledgement = ack-nhfb, } @Article{Martinsson:2015:HFR, author = "Per-Gunnar Martinsson and Gregorio Quintana Ort{\'i} and Nathan Heavner and Robert van de Geijn", title = "{Householder} {$ Q R $} Factorization With Randomization for Column Pivoting {(HQRRP)}", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "8", month = dec, year = "2015", bibdate = "Fri Dec 21 10:04:49 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", note = "FLAME Working Note \#78.", URL = "https://arxiv.org/abs/1512.02671", abstract = "A fundamental problem when adding column pivoting to the Householder QR factorization is that only about half of the computation can be cast in terms of high performing matrix-matrix multiplications, which greatly limits the benefits that can be derived from so-called blocking of algorithms. This paper describes a technique for selecting groups of pivot vectors by means of randomized projections. It is demonstrated that the asymptotic flop count for the proposed method is $ 2 m n^2 (2 / 3) n^3 $ for an $ m \times n $ matrix, identical to that of the best classical unblocked Householder QR factorization algorithm (with or without pivoting). Experiments demonstrate acceleration in speed of close to an order of magnitude relative to the {\sc geqp3} function in LAPACK, when executed on a modern CPU with multiple cores. Further, experiments demonstrate that the quality of the randomized pivot selection strategy is roughly the same as that of classical column pivoting. The described algorithm is made available under Open Source license and can be used with LAPACK or libflame.", acknowledgement = ack-nhfb, } @InProceedings{Suzuki:2015:FCL, author = "T. Suzuki", booktitle = "2015 IEEE International Conference on Image Processing (ICIP)", title = "Four-channel lifting-{Householder}-based {Hadamard} transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2144--2148", year = "2015", DOI = "https://doi.org/10.1109/ICIP.2015.7351180", ISBN = "1-4799-8339-X, 1-4799-8338-1", ISBN-13 = "978-1-4799-8339-1, 978-1-4799-8338-4", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7351180", acknowledgement = ack-nhfb, } @Article{Torosov:2015:FTC, author = "Boyan T. Torosov and Elica Kyoseva and Nikolay V. Vitanov", title = "Fault-tolerant composite {Householder} reflection", journal = j-J-PHYS-B-AT-MOL-OPT-PHYS, volume = "48", number = "13", pages = "135502", month = may, year = "2015", CODEN = "JPAPEH", DOI = "https://doi.org/10.1088/0953-4075/48/13/135502", ISSN = "0953-4075 (print), 1361-6455 (electronic)", ISSN-L = "0953-4075", bibdate = "Fri Dec 21 11:21:18 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics B: Atomic, Molecular and Optical Physics", journal-URL = "http://iopscience.iop.org/0953-4075", } @Article{Li:2016:RSP, author = "Ying Li and Musheng Wei and Fengxia Zhang and Jianli Zhao", title = "Real structure-preserving algorithms of {Householder} based transformations for quaternion matrices", journal = j-J-COMPUT-APPL-MATH, volume = "305", number = "??", pages = "82--91", day = "15", month = oct, year = "2016", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2016.03.031", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F25 (15B33)", MRnumber = "3493072", MRreviewer = "Pablo Guerrero-Garc{\'\i}a", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042716301583", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @InProceedings{Merchant:2016:AEQ, author = "F. Merchant and T. Vatwani and A. Chattopadhyay and S. Raha and S. K. Nandy and R. Narayan", booktitle = "2016 29th International Conference on VLSI Design and 2016 15th International Conference on Embedded Systems (VLSID)", title = "Achieving Efficient {$ Q R $ } Factorization by Algorithm--Architecture Co-design of {Householder} Transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "98--103", year = "2016", DOI = "https://doi.org/10.1109/VLSID.2016.109", ISBN = "1-4673-8700-2", ISBN-13 = "978-1-4673-8700-2", ISSN = "2380-6923", ISSN-L = "1063-9667", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7434934", acknowledgement = ack-nhfb, } @Article{Merchant:2016:ERH, author = "Farhad Merchant and Tarun Vatwani and Anupam Chattopadhyay and Soumyendu Raha and S. K. Nandy and Ranjani Narayan", title = "Efficient Realization of {Householder} Transform Through Algorithm--Architecture Co-Design for Acceleration of {$ Q R $} Factorization", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "14", month = dec, year = "2016", bibdate = "Fri Dec 21 10:38:24 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1612.04470", abstract = "We present efficient realization of Householder Transform (HT) based QR factorization through algorithm-architecture co-design where we achieve performance improvement of 3--90$ \times $ in-terms of Gflops/watt over state-of-the-art multicore, General Purpose Graphics Processing Units (GPGPUs), Field Programmable Gate Arrays (FPGAs), and ClearSpeed CSX700. Theoretical and experimental analysis of classical HT is performed for opportunities to exhibit higher degree of parallelism where parallelism is quantified as a number of parallel operations per level in the Directed Acyclic Graph (DAG) of the transform. Based on theoretical analysis of classical HT, an opportunity re-arrange computations in the classical HT is identified that results in Modified HT (MHT) where it is shown that MHT exhibits $ 1.33 \times $ higher parallelism than classical HT. Experiments in off-the-shelf multicore and General Purpose Graphics Processing Units (GPGPUs) for HT and MHT suggest that MHT is capable of achieving slightly better or equal performance compared to classical HT based QR factorization realizations in the optimized software packages for Dense Linear Algebra (DLA). We implement MHT on a customized platform for Dense Linear Algebra (DLA) and show that MHT achieves $ 1.3 \times $ better performance than native implementation of classical HT on the same accelerator. For custom realization of HT and MHT based QR factorization, we also identify macro operations in the DAGs of HT and MHT that are realized on a Reconfigurable Data-path (RDP). We also observe that due to re-arrangement in the computations in MHT, custom realization of MHT is capable of achieving 12\% better performance improvement over multicore and GPGPUs than the performance improvement reported by General Matrix Multiplication (GEMM) over highly tuned DLA software packages for multicore and GPGPUs which is counter-intuitive.", acknowledgement = ack-nhfb, } @Article{Mhammedi:2016:EOP, author = "Zakaria Mhammedi and Andrew Hellicar and Ashfaqur Rahman and James Bailey", title = "Efficient Orthogonal Parametrisation of Recurrent Neural Networks Using {Householder} Reflections", journal = "arxiv.org", volume = "??", number = "??", pages = "1--12", day = "1", month = dec, year = "2016", bibdate = "Fri Dec 21 10:41:14 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1612.00188", abstract = "The problem of learning long-term dependencies in sequences using Recurrent Neural Networks (RNNs) is still a major challenge. Recent methods have been suggested to solve this problem by constraining the transition matrix to be unitary during training which ensures that its norm is equal to one and prevents exploding gradients. These methods either have limited expressiveness or scale poorly with the size of the network when compared with the simple RNN case, especially when using stochastic gradient descent with a small mini-batch size. Our contributions are as follows; we first show that constraining the transition matrix to be unitary is a special case of an orthogonal constraint. Then we present a new parametrisation of the transition matrix which allows efficient training of an RNN while ensuring that the matrix is always orthogonal. Our results show that the orthogonal constraint on the transition matrix applied through our parametrisation gives similar benefits to the unitary constraint, without the time complexity limitations.", acknowledgement = ack-nhfb, } @Article{Nazeer:2016:NHM, author = "Waqas Nazeer and Muhmmad Tanveer and Shin Min Kang and Amir Naseem", title = "A new {Householder}'s method free from second derivatives for solving nonlinear equations and polynomiography", journal = "J. Nonlinear Sci. Appl.", volume = "9", number = "3", pages = "998--1007", year = "2016", DOI = "https://doi.org/10.22436/jnsa.009.03.28", ISSN = "2008-1898 (print), 2008-1901 (electronic)", ISSN-L = "2008-1898", MRclass = "65H05", MRnumber = "3433689", MRreviewer = "Jovana D\v{z}uni{\'c}", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear Sciences and Applications. JNSA", } @Article{Rafiq:2016:SNH, author = "Arif Rafiq and Shin Min Kang and Faisal Ali", title = "Some new {Householder} like iterative methods", journal = "Nonlinear Anal. Forum", volume = "21", number = "1", pages = "37--46", year = "2016", ISSN = "1226-7228", ISSN-L = "1226-7228", MRclass = "65H05", MRnumber = "3642826", MRreviewer = "Jai Prakash Jaiswal", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis Forum. An International Journal", } @Article{Rusu:2016:FOSa, author = "Cristian Rusu and Nuria Gonz{\'a}lez-Prelcic and Robert W. {Heath, Jr.}", title = "Fast Orthonormal Sparsifying Transforms Based on {Householder} Reflectors", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "24", month = nov, year = "2016", bibdate = "Fri Dec 21 11:14:29 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1611.08229", abstract = "Dictionary learning is the task of determining a data-dependent transform that yields a sparse representation of some observed data. The dictionary learning problem is non-convex, and usually solved via computationally complex iterative algorithms. Furthermore, the resulting transforms obtained generally lack structure that permits their fast application to data. To address this issue, this paper develops a framework for learning orthonormal dictionaries which are built from products of a few Householder reflectors. Two algorithms are proposed to learn the reflector coefficients: one that considers a sequential update of the reflectors and one with a simultaneous update of all reflectors that imposes an additional internal orthogonal constraint. The proposed methods have low computational complexity and are shown to converge to local minimum points which can be described in terms of the spectral properties of the matrices involved. The resulting dictionaries balance between the computational complexity and the quality of the sparse representations by controlling the number of Householder reflectors in their product. Simulations of the proposed algorithms are shown in the image processing setting where well-known fast transforms are available for comparisons. The proposed algorithms have favorable reconstruction error and the advantage of a fast implementation relative to the classical, unstructured, dictionaries.", acknowledgement = ack-nhfb, } @Article{Rusu:2016:FOSb, author = "Cristian Rusu and Nuria Gonz{\'a}lez-Prelcic and Robert W. {Heath, Jr.}", title = "Fast Orthonormal Sparsifying Transforms Based on {Householder} Reflectors", journal = j-IEEE-TRANS-SIG-PROC, volume = "64", number = "24", pages = "6589--6599", year = "2016", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2016.2612168", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "94A12", MRnumber = "3566622", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7572973", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @Article{Salam:2016:UHR, author = "Ahmed Salam and Haithem {Ben Kahla}", title = "An upper {$J$-Hessenberg} reduction of a matrix through symplectic {Householder} transformations", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "27", month = dec, year = "2016", MRclass = "65F15, 65F50", bibdate = "Fri Dec 21 10:02:43 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1612.08707", abstract = "In this paper, we introduce a reduction of a matrix to a condensed form, the upper $J$-Hessenberg form, via elementary symplectic Householder transformations, which are rank-one modification of the identity. Features of the reduction are highlighted. Two variants numerically more stables are then derived. Some numerical experiments are given, showing the efficiency of these variants.", acknowledgement = ack-nhfb, } @Article{Tomczak:2016:IVA, author = "Jakub M. Tomczak and Max Welling", title = "Improving Variational Auto-Encoders using {Householder} Flow", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "29", month = nov, year = "2016", bibdate = "Fri Dec 21 10:44:15 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1611.09630", abstract = "Variational auto-encoders (VAE) are scalable and powerful generative models. However, the choice of the variational posterior determines tractability and flexibility of the VAE. Commonly, latent variables are modeled using the normal distribution with a diagonal covariance matrix. This results in computational efficiency but typically it is not flexible enough to match the true posterior distribution. One fashion of enriching the variational posterior distribution is application of normalizing flows, i.e., a series of invertible transformations to latent variables with a simple posterior. In this paper, we follow this line of thinking and propose a volume-preserving flow that uses a series of Householder transformations. We show empirically on MNIST dataset and histopathology data that the proposed flow allows to obtain more flexible variational posterior and competitive results comparing to other normalizing flows.", acknowledgement = ack-nhfb, } @Article{Torosov:2016:FTC, author = "Boyan T. Torosov and Elica Kyoseva and Nikolay V. Vitanov", title = "Fault-tolerant composite {Householder} reflection", journal = "arxiv.org", volume = "??", number = "??", pages = "1--5", day = "16", month = may, year = "2016", bibdate = "Fri Dec 21 11:15:38 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://arxiv.org/abs/1605.04977", abstract = "We propose a fault-tolerant implementation of the quantum Householder reflection, which is a key operation in various quantum algorithms, quantum-state engineering, generation of arbitrary unitaries, and entanglement characterization. We construct this operation using the modular approach of composite pulses and a relation between the Householder reflection and the quantum phase gate. The proposed implementation is highly insensitive to variations in the experimental parameters, which makes it suitable for high-fidelity quantum information processing.", acknowledgement = ack-nhfb, } @Article{Amat:2017:EAS, author = "Sergio Amat and Ioannis K. Argyros and Miguel A. Hern{\'a}ndez-Ver{\'o}n and Natalia Romero", title = "Expanding the applicability of some high order {Householder}-like methods", journal = "Algorithms (Basel)", volume = "10", number = "2", pages = "Paper No. 64, 13", year = "2017", DOI = "https://doi.org/10.3390/a10020064", ISSN = "1999-4893", ISSN-L = "1999-4893", MRclass = "65J15 (39A60 47J25)", MRnumber = "3670588", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Algorithms (Basel)", } @Article{Bujanovic:2017:HBA, author = "Zvonimir Bujanovi{\'c} and Lars Karlsson and Daniel Kressner", title = "A {Householder}-based algorithm for {Hessenberg}-triangular reduction", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "23", month = oct, year = "2017", bibdate = "Fri Dec 21 10:00:58 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/multithreading.bib", URL = "https://arxiv.org/abs/1710.08538", abstract = "The QZ algorithm for computing eigenvalues and eigenvectors of a matrix pencil A B requires that the matrices first be reduced to Hessenberg-triangular (HT) form. The current method of choice for HT reduction relies entirely on Givens rotations regrouped and accumulated into small dense matrices which are subsequently applied using matrix multiplication routines. A non-vanishing fraction of the total flop count must nevertheless still be performed as sequences of overlapping Givens rotations alternately applied from the left and from the right. The many data dependencies associated with this computational pattern leads to inefficient use of the processor and poor scalability. In this paper, we therefore introduce a fundamentally different approach that relies entirely on (large) Householder reflectors partially accumulated into block reflectors, by using (compact) WY representations. Even though the new algorithm requires more floating point operations than the state of the art algorithm, extensive experiments on both real and synthetic data indicate that it is still competitive, even in a sequential setting. The new algorithm is conjectured to have better parallel scalability, an idea which is partially supported by early small-scale experiments using multi-threaded BLAS. The design and evaluation of a parallel formulation is future work.", acknowledgement = ack-nhfb, } @InProceedings{Huang:2017:SFD, author = "G. Huang and J. Benesty and J. Chen", booktitle = "2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)", title = "Study of the frequency-domain multichannel noise reduction problem with the {Householder} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "486--490", year = "2017", DOI = "https://doi.org/10.1109/ICASSP.2017.7952203", ISBN = "1-5090-4117-6, 1-5090-4116-8, 1-5090-4118-4", ISBN-13 = "978-1-5090-4117-6, 978-1-5090-4116-9, 978-1-5090-4118-3", ISSN = "1520-6149 (print), 2379-190X (electronic)", ISSN-L = "1520-6149", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7952203", acknowledgement = ack-nhfb, } @InProceedings{Khanom:2017:PAQ, author = "S. Khanom and M. R. Islam", booktitle = "2017 IEEE Region 10 Humanitarian Technology Conference (R10-HTC)", title = "Performance analysis of {$ Q R $}-decomposition {RLS} and {Householder} sliding window {RLS} for noise elimination of {EEG}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "594--597", year = "2017", DOI = "https://doi.org/10.1109/R10-HTC.2017.8289030", ISBN = "1-5386-2175-4, 1-5386-2174-6, 1-5386-2176-2", ISBN-13 = "978-1-5386-2175-2, 978-1-5386-2174-5, 978-1-5386-2176-9", ISSN = "2572-7621", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8289030", acknowledgement = ack-nhfb, } @Article{Martinsson:2017:HFR, author = "Per-Gunnar Martinsson and Gregorio Quintana Ort{\'i} and Nathan Heavner and Robert van de Geijn", title = "{Householder} {$ Q R $} Factorization With Randomization for Column Pivoting {(HQRRP)}", journal = j-SIAM-J-SCI-COMP, volume = "39", number = "2", pages = "C96--C115", month = "????", year = "2017", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/16M1081270", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F25 (65Y05 68W20)", MRnumber = "3633786", MRreviewer = "Dario Fasino", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "http://epubs.siam.org/toc/sjoce3/39/2; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2017", } @Article{Noble:2017:DCS, author = "J. H. Noble and M. Lubasch and J. Stevens and U. D. Jentschura", title = "Diagonalization of complex symmetric matrices: Generalized {Householder} reflections, iterative deflation and implicit shifts", journal = j-COMP-PHYS-COMM, volume = "221", number = "??", pages = "304--316", month = dec, year = "2017", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2017.06.014", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65F25 (15A23)", MRnumber = "3712830", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465517301960", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Zhao:2017:SKM, author = "Yong-Ping Zhao and Peng-Peng Xi and Bing Li and Zhi-Qiang Li", title = "Sparse kernel minimum squared error using {Householder} transformation and {Givens} rotation", journal = j-APPL-INTELL, volume = "48", number = "2", pages = "390--415", month = jul, year = "2017", CODEN = "APITE4", DOI = "https://doi.org/10.1007/s10489-017-0978-0", ISSN = "0924-669X (print), 1573-7497 (electronic)", ISSN-L = "0924-669X", bibdate = "Fri Dec 21 15:20:43 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Applied Intelligence", } @Article{Bujanovic:2018:HBA, author = "Zvonimir Bujanovi{\'c} and Lars Karlsson and Daniel Kressner", title = "A {Householder}-Based Algorithm for {Hessenberg}-Triangular Reduction", journal = j-SIAM-J-MAT-ANA-APPL, volume = "39", number = "3", pages = "1270--1294", month = "????", year = "2018", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/17M1153637", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F25 (15A22 15A23)", MRnumber = "3842925", bibdate = "Thu Oct 10 08:00:26 MDT 2019", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/39/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", onlinedate = "January 2018", } @Article{Deng:2018:DLR, author = "Zhongliang Deng and Di Zhu and Lu Yin", title = "{$N$}-Dimensional {LLL} Reduction Algorithm with Pivoted Reflection", journal = j-SENSORS-BASEL, volume = "18", number = "1", pages = "283--302", month = jan, year = "2018", CODEN = "SENSC9", DOI = "https://doi.org/10.3390/s18010283", ISSN = "1424-8220", ISSN-L = "1424-8220", bibdate = "Sat Dec 22 09:43:30 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Sensors (Basel)", journal-URL = "https://www.mdpi.com/journal/sensorsb", keywords = "Householder reflection; Lenstra-Lenstra-Lov{\'a}sz (LLL) lattice reduction algorithm", } @InProceedings{Dominguez:2018:FBH, author = "A. E. Tom{\'a}s Dominguez and E. S. {Quintana Orti}", booktitle = "{2018 26th Euromicro International Conference on Parallel, Distributed and Network-based Processing (PDP)}", title = "Fast Blocking of {Householder} Reflectors on Graphics Processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "385--393", year = "2018", DOI = "https://doi.org/10.1109/PDP2018.2018.00068", ISBN = "1-5386-4975-6, 1-5386-4976-4", ISBN-13 = "978-1-5386-4975-6, 978-1-5386-4976-3", ISSN = "2377-5750", ISSN-L = "1066-6192", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8374491", acknowledgement = ack-nhfb, } @InProceedings{Higuchi:2018:ECC, author = "S. Higuchi and K. Maruta and C. Ahn", booktitle = "2018 IEEE Seventh International Conference on Communications and Electronics (ICCE)", title = "Efficient Channel Column Sorting Method based on {Householder} Transformation for {QRM--MLD}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "151--154", year = "2018", DOI = "https://doi.org/10.1109/CCE.2018.8465727", ISBN = "1-5386-3679-4, 1-5386-3678-6, 1-5386-3677-8, 1-5386-3680-8", ISBN-13 = "978-1-5386-3679-4, 978-1-5386-3678-7, 978-1-5386-3677-0, 978-1-5386-3680-0", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8465727", acknowledgement = ack-nhfb, } @Article{Laudadio:2018:GSA, author = "Teresa Laudadio and Nicola Mastronardi and Paul {Van Dooren}", title = "The Generalized {Schur} Algorithm and Some Applications", journal = j-AXIOMS-BASEL, volume = "7", number = "4", pages = "81", month = nov, year = "2018", DOI = "https://doi.org/10.3390/axioms7040081", ISSN = "2075-1680", ISSN-L = "2075-1680", bibdate = "Sat Dec 22 10:02:07 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Axioms (Basel)", journal-URL = "https://www.mdpi.com/journal/axioms", keywords = "$L U$; $Q R$; Householder transformations", } @Article{Merchant:2018:ERH, author = "Farhad Merchant and Tarun Vatwani and Anupam Chattopadhyay and Soumyendu Raha and S. K. Nandy and Ranjani Narayan", title = "Efficient Realization of {Householder} Transform Through Algorithm--Architecture Co-Design for Acceleration of {$ Q R $} Factorization", journal = j-IEEE-TRANS-PAR-DIST-SYS, volume = "29", number = "8", pages = "1707--1720", month = aug, year = "2018", CODEN = "ITDSEO", DOI = "https://doi.org/10.1109/TPDS.2018.2803820", ISSN = "1045-9219 (print), 1558-2183 (electronic)", ISSN-L = "1045-9219", bibdate = "Wed Jul 25 09:07:14 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8283815; https://www.computer.org/csdl/trans/td/2018/08/08283815-abs.html", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Parallel and Distributed Systems", journal-URL = "http://www.computer.org/tpds/archives.htm", } @Article{Rosa:2018:SSH, author = "Kennett L. Dela Rosa and Dennis I. Merino and Agnes T. Paras", title = "The subspaces spanned by {Householder} vectors associated with an orthogonal or a symplectic matrix", journal = j-LINEAR-ALGEBRA-APPL, volume = "546", number = "??", pages = "37--49", day = "1", month = jun, year = "2018", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2018.02.002", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A23 (15A21)", MRnumber = "3771871", MRreviewer = "Talha Ar\i kan", bibdate = "Fri Dec 7 06:57:26 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/linala2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0024379518300570", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", } @Article{Rusu:2018:AED, author = "Cristian Rusu", title = "Approximate Eigenvalue Decompositions of Linear Transformations with a Few {Householder} Reflectors", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", year = "2018", bibdate = "Fri Dec 21 12:22:22 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "http://arxiv.org/abs/1811.07624; https://dblp.org/rec/bib/journals/corr/abs-1811-07624", abstract = "The ability to decompose a signal in an orthonormal basis (a set of orthogonal components, each normalized to have unit length) using a fast numerical procedure rests at the heart of many signal processing methods and applications. The classic examples are the Fourier and wavelet transforms that enjoy numerically efficient implementations (FFT and FWT, respectively). Unfortunately, orthonormal transformations are in general unstructured, and therefore they do not enjoy low computational complexity properties. In this paper, based on Householder reflectors, we introduce a class of orthonormal matrices that are numerically efficient to manipulate: we control the complexity of matrix-vector multiplications with these matrices using a given parameter. We provide numerical algorithms that approximate any orthonormal or symmetric transform with a new orthonormal or symmetric structure made up of products of a given number of Householder reflectors. We show analyses and numerical evidence to highlight the accuracy of the proposed approximations and provide an application to the case of learning fast Mahanalobis distance metric transformations.", acknowledgement = ack-nhfb, timestamp = "Fri Nov 17 13:01:22 2023", } @InProceedings{Takeda:2018:TSC, author = "S. Takeda and T. Anada and C. Chen", booktitle = "2018 48th European Microwave Conference (EuMC)", title = "A Theoretical Synthesis of Coupling Matrix by Eigen Mode Expansion Method and {Householder} Transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "364--367", year = "2018", DOI = "https://doi.org/10.23919/EuMC.2018.8541567", ISBN = "2-87487-051-X, 2-87487-050-1, 1-5386-5285-4", ISBN-13 = "978-2-87487-051-4, 978-2-87487-050-7, 978-1-5386-5285-5", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8541567", acknowledgement = ack-nhfb, } @InProceedings{Wang:2018:AIS, author = "D. Wang and G. Zhang", booktitle = "2018 International Applied Computational Electromagnetics Society Symposium (ACES)", title = "The adaptive interference suppression method based on {Householder} at subarray level", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2018", DOI = "https://doi.org/10.23919/ROPACES.2018.8364304", ISBN = "0-9960078-7-3, 1-5386-4857-1", ISBN-13 = "978-0-9960078-7-0, 978-1-5386-4857-5", bibdate = "Fri Dec 7 10:44:18 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8364304", acknowledgement = ack-nhfb, } @Article{Wang:2018:IMO, author = "Jinmiao Wang and Hui Zhao and Lin Bi and Liguan Wang", title = "Implicit {$3$D} Modeling of Ore Body from Geological Boreholes Data Using {Hermite} Radial Basis Functions", journal = j-MINERALS-BASEL, volume = "8", number = "10", pages = "443", month = oct, year = "2018", CODEN = "MBSIBI", DOI = "https://doi.org/10.3390/min8100443", ISSN = "2075-163X", ISSN-L = "2075-163X", bibdate = "Sat Dec 22 09:56:48 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, fjournal = "Minerals (Basel)", journal-URL = "http://www.mdpi.com/journal/minerals", keywords = "Householder-$Q R$ decomposition", } @Article{Yang:2021:REA, author = "L. Minah Yang and Alyson Fox and Geoffrey Sanders", title = "Rounding Error Analysis of Mixed Precision Block {Householder} {$ Q R $} Algorithms", journal = j-SIAM-J-SCI-COMP, volume = "43", number = "3", pages = "A1723--A1753", month = "????", year = "2021", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/19M1296367", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Wed Jan 19 08:22:09 MST 2022", bibsource = "http://epubs.siam.org/toc/sjoce3/43/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2021", } @Article{Connolly:2023:PRE, author = "Michael P. Connolly and Nicholas J. Higham", title = "Probabilistic Rounding Error Analysis of {Householder} {QR} Factorization", journal = j-SIAM-J-MAT-ANA-APPL, volume = "44", number = "3", pages = "1146--1163", month = "????", year = "2023", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/22M1514817", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Tue Oct 17 16:49:22 MDT 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/44,/3; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", URL = "https://epubs.siam.org/doi//doi/10.1137/22M1514817", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Edelman:2023:FTM, author = "Alan Edelman and Sungwoo Jeong", title = "Fifty Three Matrix Factorizations: a Systematic Approach", journal = j-SIAM-J-MAT-ANA-APPL, volume = "44", number = "2", pages = "415--480", month = "????", year = "2023", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/21M1416035", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Tue Oct 17 16:49:20 MDT 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/44,/2; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", URL = "https://epubs.siam.org/doi//doi/10.1137/21M1416035", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", } @Article{Shao:2023:HON, author = "Meiyue Shao", title = "{Householder} Orthogonalization with a Nonstandard Inner Product", journal = j-SIAM-J-MAT-ANA-APPL, volume = "44", number = "2", pages = "481--502", month = "????", year = "2023", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/21M1414814", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", bibdate = "Tue Oct 17 16:49:20 MDT 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/44,/2; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", URL = "https://epubs.siam.org/doi//doi/10.1137/21M1414814", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", }

%%% ==================================================================== %%% Part 3 (of 3) --- Gatlinburg/Householder symposia papers %%% %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear':

@InCollection{Varga:1990:RUM, author = "Richard S. Varga", title = "Reminiscences on the {University of Michigan} summer schools, the {Gatlinburg Symposia}, and {{\booktitle{Numerische Mathematik}}}", crossref = "Nash:1990:HSC", pages = "206--210", year = "1990", bibdate = "Thu Dec 20 09:29:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, } @Article{Moler:1996:BRH, author = "Cleve Moler and Friedrich L. Bauer", title = "{Bauer} Remembers {Householder} and the {Gatlinburg} Meetings", journal = "{NA} Digest", volume = "96", number = "27", day = "18", month = jul, year = "1996", bibdate = "Thu Dec 20 10:16:43 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib", note = "The article contains notes for F. L. Bauer's after-banquet talk entitled \booktitle{Memories of Alston Householder (1904--1993)}, Householder Symposium XIII, June 17--21, 1996 Pontresina, Switzerland.", URL = "http://www.maths.manchester.ac.uk/~higham/conferences/householder/h96/bauertalk.pdf; http://www.netlib.org/na-digest-html/96/v96n27.html; http://www3.math.tu-berlin.de/householder_2008/Cleve.htm", acknowledgement = ack-nhfb, } @TechReport{Moler:2013:CCG, author = "Cleve B. Moler", title = "{Cleve}'s Corner: The {Gatlinburg} and {Householder} Symposia", type = "Technical note", institution = inst-MATHWORKS, address = inst-MATHWORKS:adr, pages = "??", month = "??", year = "2013", bibdate = "Thu Oct 24 07:16:21 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib", URL = "https://www.mathworks.com/company/newsletters/articles/the-gatlinburg-and-householder-symposia.html", acknowledgement = ack-nhfb, keywords = "Matlab", }

%%% ==================================================================== %%% Cross-referenced entries must come last: %%% %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear':

@Proceedings{Householder:1951:MCM, editor = "Alston S. Householder and George E. Forsythe and Hallett-Hunt Germond", booktitle = "{Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California}", title = "{Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California}", volume = "12", publisher = pub-USGPO, address = pub-USGPO:adr, pages = "49", year = "1951", bibdate = "Tue Jan 31 06:36:58 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", series = ser-APPL-MATH-SER-NBS, acknowledgement = ack-nhfb, tableofcontents = "Preface / iii \\ Foreword / v \\ 1. Showers produced by low-energy electrons and photons / Robert R. Wilson / 1 \\ 2. An alignment chart for Monte Carlo solution of the transport problem / B. I. Spinrad, G. H. Goertzel, W. S. Snyder / 4 \\ 3. Neutron age calculations in water, graphite, and tissue / Alston S. Householder / 6 \\ 4. Methods of probabilities in chains applied to particle transmission through matter / Wendell C. DeMarcus, Lewis Nelson / 9 \\ 5. Stochastic methods in statistical mechanics / W. Gilbert King / 12 \\ 6. Report on a Monte Carlo calculation performed with the Eniac / Maria Mayer / 19 \\ 7. Calculation of shielding properties of water for high energy neutrons / Preston C. Hammer / 21 \\ 8. A Monte Carlo technique for estimating particle attenuation in bulk matter / B. A. Shoor, Lewis Nelson, Wendell DeMarcus, Robert L. Echols / 24 \\ 9. Estimation of particle transmission by random sampling / Herman Kahn, T. E. Harris / 27 \\ 10. History of RAND's random digits --- Summary / W. George Brown / 31 \\ 11. The mid-square method of generating digits / Preston C. Hammer / 33 \\ 12. Generation and testing of random digits at the National Bureau of Standards, Los Angeles / George E. Forsythe / 34 \\ 13. Various techniques used in connection with random digits / John von Neumann / 36 \\ 14. Round table discussion / H. H. Germond / 39", } @Book{Householder:1964:TMN, author = "Alston Scott Householder", booktitle = "The Theory of Matrices in Numerical Analysis", title = "The Theory of Matrices in Numerical Analysis", publisher = pub-BLAISDELL, address = pub-BLAISDELL:adr, pages = "viii + 257", year = "1964", ISBN = "0-486-61781-5", ISBN-13 = "978-0-486-61781-7", LCCN = "QA188 .H67 1964; QA263 .H67", MRclass = "65.35", MRnumber = "0175290 (30 \#5475)", MRreviewer = "R. S. Varga", bibdate = "Tue Jun 19 06:23:59 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; z3950.loc.gov:7090/Voyager", note = "Reprinted in \cite{Householder:1975:TMN}.", series = "Introductions to higher mathematics; A Blaisdell book in the pure and applied sciences", ZMnumber = "0161.12101", acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj, author-dates = "1904--1993", subject = "Matrices; Numerical analysis", tableofcontents = "1. Some basic identities and inequalities \\ 2. Norms, bounds, and convergence \\ 3. Localization theorems and other inequalities (exclusion theorems; inclusion and separation theorems; minimax theorems: inequalities of Wielandt and Kantorovich) \\ 4. The solution of linear systems: methods of successive approximation \\ 5. Direct methods of inversion \\ 6. Proper values and vectors: normalization and reduction of the matrix (methods of Krylov, Webber-Voetter, Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan, Leverrier, etc.) \\ 7. Proper values and vectors: successive approximation (methods of Jacobi, Collar and Jahn; power method; $LR$ and $QR$ transformations)", xxpages = "xi + 257", } @Book{Margenau:1964:MPC, editor = "Henry Margenau and George Moseley Murphy", booktitle = "The Mathematics of Physics and Chemistry", title = "The Mathematics of Physics and Chemistry", volume = "2", publisher = "D. Van Nostrand", address = "Princeton, NJ, USA", pages = "v + 786", year = "1964", LCCN = "QA37 .M3818 1956", bibdate = "Sat Jul 25 13:55:27 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, remark = "With contributions by William Band, John O. Dimmock, Robert G. Gallager, Edward M. Hofstetter, Alston S. Householder, Nicholas Minorsky, David Mintzer, Thomas L. Saaty, S. S. Schweber, and Robert J. Wheeler.", tableofcontents = "1 Transport Theory of Gases / David Mintzer / 1 \\ 2 Numerical Analysis / Alston S. Householder / 50 \\ 3 Random Processes / Edward M. Hofstetter / 99 \\ 4 Information Theory / Robert G. Gallager / 190 \\ 5 Operations Analysis; Methods and Structure of Operations / Thomas L. Saaty / 249 \\ 6 Nonlinear Problems in Physics and Engineering / Nicholas Minorsky / 321 \\ 7 Angular Momentum Operators and Rotations in Space and Transformation Theory of Quantum Mechanics / Henry Margenau / 391 \\ 8 The Mathematical Formalism of Quantum Statistics / William Band / 426 \\ 9 Relativistic Quantum Mechanics / S. S. Schweber / 484 \\ 10 External Field Problems / S. S. Schweber / 580 \\ 11 Quantum Electrodynamics / S. S. Schweber / 642 \\ 12 Symmetry Properties of Magnetic Crystals / J. O. Dimmock and R. G. Wheeler / 725 \\ Index / 769", xxISBN = "none", } @Proceedings{Dejon:1969:CAF, editor = "Bruno Dejon and Peter Henrici", booktitle = "Constructive Aspects of the Fundamental Theorem of Algebra: proceedings of a symposium conducted at the {IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon, Switzerland, June 5--7, 1967}", title = "Constructive Aspects of the Fundamental Theorem of Algebra: proceedings of a symposium conducted at the {IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon, Switzerland, June 5--7, 1967}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "337", year = "1969", ISBN = "0-471-20300-9", ISBN-13 = "978-0-471-20300-1", LCCN = "QA212 .C65", bibdate = "Sun Jan 27 19:57:13 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib", ZMnumber = "0175.00104", acknowledgement = ack-nhfb, author-dates = "Peter Karl Henrici (13 September 1923--13 March 1987)", subject = "Equations, Roots of; Congresses; Fundamental theorem of algebra; Congresses", tableofcontents = "A never failing, fast convergent root-finding algorithm / B. Dejon and K. Nickel \\ Finding a zero by means of successive linear interpolation / T. J. Dekker \\ Remarks on the paper by Dekker / G. E. Forsythe \\ What is a satisfactory quadratic equation solver? / G. E. Forsythe \\ Mathematical and physical polynomials / L. Fox \\ A constructive form of the second Gauss proof of the Fundamental Theorem of Algebra / R. L. Goodstein \\ Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial / P. Henrici and I. Gargantini \\ On the notion of constructivity / H. Hermes \\ Bigradients, Hankel determinants, and the Pad{\'e} table / A. S. Householder and G. W. Stewart \\ An algorithm for an automatic general polynomial solver / M. A. Jenkins and J. F. Traub \\ Die numerische Bestimmung mehrfacher und nahe benachbarter polynomnullstellen nach einem verbesserten Bernoulli-Verfahren / I. Kupka \\ Search procedures for polynomial equation solving / D. H. Lehmer \\ A method for automatic solution of algebraic equations / A. M. Ostrowski \\ Iteration functions for solving polynomial matrix equations / M. Pavel-Parvu and A. Korganoff \\ Problematik der Nullstellenbestimmung bei polynomen / H. Rutishauser \\ Factorization of polynomials by generalized Newton procedures / J. Schroder \\ The fundamental theorem of algebra in recursive analysis / E. Specker", } @Book{Wilkinson:1971:LA, editor = "James H. Wilkinson and Christian Reinsch", booktitle = "Linear Algebra", title = "Linear Algebra", volume = "II", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 439", year = "1971", ISBN = "0-387-05414-6, 3-540-05414-6", ISBN-13 = "978-0-387-05414-8, 978-3-540-05414-6", LCCN = "QA251 .W67", bibdate = "Wed Dec 15 18:44:50 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/gnu.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook for Automatic Computation, Editors: {F. L. Bauer, A. S. Householder, F. W. J. Olver, H. Rutishauser, K. Samelson and E. Stiefel}", acknowledgement = ack-nhfb, editor-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", tableofcontents = "Part I: Linear systems, least squares and linear programming \\ J. H. Wilkinson / Introduction to Part I / 1--8 \\ 1. Introduction \\ 2. List of procedures \\ 3. Positive definite symmetric matrices \\ 4. Non-positive definite symmetric matrices \\ 5. Non-Hermitian matrices \\ 6. Least squares and related problems \\ 7. The linear programming problem \\ R. S. Martin, G. Peters and J. H. Wilkinson / Symmetric decomposition of a positive definite matrix / 9--30 \\ Martin, Peters and Wilkinson / Iterative refinement of the solution of a positive definite system of equations / 31--44 \\ F. L. Bauer and C. Reinsch / Inversion of positive definite matrices by the Gauss-Jordan method / 45--49 \\ Martin and Wilkinson / Symmetric decomposition of positive definite band matrices / 50--56 \\ T. Ginsburg / The conjugate gradient method / 57--69 \\ Martin and Wilkinson / Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices / 70--92 \\ H. J. Bowdler, Martin, Peters and Wilkinson / Solution of real and complex systems of linear equations / 93--110 \\ P. Businger and G. H. Golub / Linear least squares solutions by Householder transformations / 111--118 \\ Bauer / Elimination with weighted row combinations for solving linear equations and least squares problems / 119--133 \\ Golub and Reinsch / Singular value decomposition and least squares solutions / 134--151 \\ R. H. Bartels, J. Stoer and Ch. Zenger / A realization of the simplex method based on triangular decompositions / 152--190 \\ Part II: The algebraic eigenvalue problem \\ Wilkinson / Introduction to Part II / 191--201 \\ 1. Introduction \\ 2. List of procedures \\ 3. Real, dense, symmetric matrices \\ 4. Symmetric band matrices \\ 5. Simultaneous determination of dominant eigenvalues and eigenvectors of a symmetric sparse matrix \\ 6. The generalized symmetric eigenvalue problems $A x = \lambda B x$ and $A B x = \lambda x$ \\ 7. Hermitian matrices \\ 8. Real dense unsymmetric matrices \\ 9. Unsymmetric band matrices \\ 10. Dense unsymmetric matrices with complex elements, H. Rutishauser / The Jacobi method for real symmetric matrices / 202--211 \\ Martin, Reinsch and Wilkinson / Householder's tridiagonalization of a symmetric matrix / 212--226 \\ H. Bowdler, Martin, Reinsch and Wilkinson / The $QR$ and $QL$ algorithms for symmetric matrices / 227--240 \\ A. Dubrulle, Martin and Wilkinson / The implicit $QL$ algorithm / 241--248 \\ W. Barth, Martin, and Wilkinson / Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection / 249--256 \\ Reinsch and Bauer / Rational $QR$ transformation with Newton shift for symmetric tridiagonal matrices / 257--265 \\ Martin, Reinsch and Wilkinson / The $QR$ algorithm for band symmetric matrices / 266--272 \\ H. R. Schwarz / Tridiagonalization of a symmetric band matrix / 273--283 \\ Rutishauser / Simultaneous iteration method for symmetric matrices / 284--302 \\ Martin and Wilkinson / Reduction of the symmetric eigenproblem $A x = \lambda B x$ and related problems to standard form / 303--314 \\ B. N. Parlett and Reinsch / Balancing a matrix for calculation of eigenvalues and eigenvectors / 315--326 \\ P. J. Eberlein and J. Boothroyd / Solution to the eigenproblem by a norm reducing Jacobi type method / 327--338 \\ Martin and Wilkinson / Similarity reduction of a general matrix to Hessenberg form / 339--358 \\ Martin, Peters and Wilkinson / The $QR$ algorithm for real Hessenberg matrices / 359--371 \\ Peters and Wilkinson / Eigenvectors of real and complex matrices by $LR$ and $QR$ triangularizations / 372--395 \\ Martin and Wilkinson / The modified $LR$ algorithm for complex Hessenberg matrices / 396--403 \\ Eberlein / Solution to the complex eigenproblem by a norm reducing Jacobi type method / 404--417 \\ Peters and Wilkinson / The calculation of specified eigenvectors by inverse iteration / 418--439", } @Proceedings{Anonymous:1972:LNF, editor = "Anonymous", booktitle = "{Lecture notes: Fifth Gatlinburg Symposium on Numerical Algebra, Los Alamos, New Mexico, USA, June 5--10, 1972}", title = "{Lecture notes: Fifth Gatlinburg Symposium on Numerical Algebra, Los Alamos, New Mexico, USA, June 5--10, 1972}", publisher = "Los Alamos Scientific Laboratory of the University of California", address = "Los Alamos, New Mexico", pages = "ume ( ( various ) )", year = "1972", LCCN = "QA297 .G34 1972", bibdate = "Thu Dec 20 09:16:48 MST 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, meetingname = "Gatlinburg Symposium on Numerical Algebra (5th: 1972: Los Alamos, New Mexico)", remark = "Reproduction of hand-written notes.", subject = "Numerical analysis; Congresses; Numerical analysis.", } @Proceedings{Bauer:1974:GVS, editor = "Friedrich L. Bauer", booktitle = "{Gatlinburg VI: Symposium on Numerical Algebra, December 15--22, 1974, Hopfen am See, near Munich, Germany. Abstracts}", title = "{Gatlinburg VI: Symposium on Numerical Algebra, December 15--22, 1974, Hopfen am See, near Munich, Germany. Abstracts}", publisher = "Technische Universit{\"a}t, Institut f{\"u}r Mathematik", address = "Munich, West Germany", pages = "20", year = "1974", LCCN = "????", bibdate = "Thu Dec 20 09:13:30 MST 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib", acknowledgement = ack-nhfb, remark = "The 6th Gatlinburg meeting is organized under the auspices of the Bavarian Academy of sciences and is sponsored by the Stifterverband fur die deutsche Wissenschaft through the German research Council, deutsche Forschungsgemeinschaft DFG.", } @Book{Scaife:1974:SNA, editor = "B. K. P. (Brendan Kevin Patrick) Scaife", booktitle = "Studies in numerical analysis: papers in honour of {Cornelius Lanczos}", title = "Studies in numerical analysis: papers in honour of {Cornelius Lanczos}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xxii + 333", year = "1974", ISBN = "0-12-621150-7", ISBN-13 = "978-0-12-621150-4", LCCN = "QA297 .S86", bibdate = "Wed Jun 8 14:07:51 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; z3950.loc.gov:7090/Voyager", note = "Published for the Royal Irish Academy.", URL = "http://catalog.hathitrust.org/Record/000575557", acknowledgement = ack-nhfb, subject = "Numerical analysis; Lanczos, Cornelius; Bibliography", subject-dates = "1893--1974", tableofcontents = "Contributors / v \\ Editor's Foreword / vii \\ Cornelius Lanczos --- A Biographical Note / ix \\ List of Publications by Cornelius Lanczos / xii \\ \\ Table-making at the National Bureau of Standards / Gertrude Blanch and Ida Rhodes / 1 \\ \\ Vignette of a Cultural Episode / Wilhelm Magnus / 7 \\ \\ The Physicist as Poet / Janice Bireline / 15 \\ \\ Conservation Laws in Einstein's General Theory of Relativity / William R. Davis / 29 \\ \\ I Introduction / 29 \\ II Historical Comments --- Field Conservation Laws proposed for General Relativity 1916--1959 / 31 \\ III Properties of General Covariant Field Theories / 34 \\ IV Remarks on Symmetry Properties and Invariance Principles in Physical Theories / 37 \\ V Conservation Laws of Particle Mechanics in Riemannian Spacetime / 40 \\ VI Particle Conservation Laws for Symmetry Properties not representable by Point Deformations / 41 \\ VII Field Conservation Law Generators in General Relativity / 43 \\ VIII Comments on Application of Conservation Laws for Physically Closed Systems / 45 \\ IX Tensorial Tetrad Conservation Law Generators / 47 \\ X Conservation Laws for Curve Congruences with Special Kinematical and Symmetry Properties / 50 \\ XI Other Integral Conservation Expressions / 52 \\ XII Conclusions / 54 \\ \\ An elementary procedure for the evaluation of electric networks / L. Janossy / 65 \\ \\ Canonical Polynomials in the Lanczos Tau Method --- Eduardo L. Ortiz / 73 \\ \\ I Introduction / 73 \\ II Mathematical Tables and Machine Tables / 74 \\ III The Tau Method / 76 \\ IV The Canonical Polynomials / 77 \\ V The Recursive Form of the Tau Method / 78 \\ VI Algebraic Formulation / 81 \\ VII Integrated Forms of the Tau Method / 82 \\ VIII Expansion of the Approximate Solution in More General Bases / 86 \\ IX Eigenvalue Problems / 90 \\ \\ Rational Approximations from Chebyshev Series --- C. W. Clenshaw and K. Lord / 95 \\ \\ I Introduction / 95 \\ II The Generalized Pad{\'e} Approximation / 98 \\ III The Chebyshev--Pad{\'e} Table / 98 \\ IV The Calculation of $S_{m,n}(x)$ / 101 \\ V An Example / 102 \\ VI Case of Slow Convergence / 104 \\ VII Computational Aspects / 105 \\ VIII Numerical Results / 107 \\ \\ Accuracy of Computed Eigensystems and Invariant Subspaces / G. Peters and J. H. Wilkinson / 115 \\ \\ I Introduction / 115 \\ II Summary of Perturbation Theory for Normal Matrices / 115 \\ III Perturbation Theory for Non-Normal Matrices / 119 \\ IV Eigenvector Perturbations / 123 \\ V Computation of Orthogonal Bases for an Invariant Subspace / 124 \\ VI Numerical Example / 127 \\ VII Attainable Accuracy / 129 \\ VIII Low Relative Errors in Small Eigenvalues / 132 \\ \\ Buckling of a Beam under Axial Compression with Elastic Support / A. P. Gallagher / 137 \\ \\ I Introduction / 137 \\ II Formulation of the Integro--Differential Equation / 139 \\ III Analysis of the Even Modes of Buckling / 140 \\ IV Analysis of the Odd Modes of Buckling / 142 \\ V Numerical Results / 143 \\ \\ The Frequency Approach to Numerical Analysis / R. W. Hamming / 151 \\ \\ I Introduction / 151 \\ II The effects of Sampling-Aliasing / 152 \\ III The Finite Fourier Series / 154 \\ IV The Nyquist Interval and the Sampling Theorem / 158 \\ V The Difference Table and Noise / 160 \\ VI A Quick Look at Integration / 162 \\ VII Smoothing / 163 \\ VIII The Gibbs Phenomenon / 166 \\ IX Elementary Filter Theory / 169 \\ X More Advanced Filter Theory / 172 \\ \\ Detouring around Computational Roadblocks --- A Tale of Two Integrals / Forman S. Acton / 177 \\ \\ The Hypercircle Method / J. L. Synge / 201 \\ \\ I Simplification / 201 \\ II An Example: The Dirichlet Problem / 203 \\ III The Pay-Off in the Dirichlet Problem / 207 \\ IV More General View. The Hypercircle / 209 \\ V Historical Note / 212 \\ VI The Significance of a Small Hypersphere / 213 \\ VII Vertices / 215 \\ \\ Lower Bounds for the Dirichlet Integral / J. J. McMahon / 219 \\ \\ I The Problem / 219 \\ II Essential Inequality / 220 \\ III Method of Constructing Normally-Continuous Divergent-Free Vector-Fields / 221 \\ IV A Class of Functions and Vector-Fields / 223 \\ V Properties of $P''_{\rho \sigma}$ / ??? \\ VI Formulae for the Three Fundamental Vector-Fields / 225 \\ VII Integrals of Vector-Fields / 228 \\ VIII Use of Symmetry / 230 \\ IX A Calculation with Lattice Edge $a = 1$ / 231 \\ \\ The Koenig--Hadamard Theorem again / Alston S. Householder / 235 \\ \\ Significance Arithmetic --- On the Algebra of Binary Strings / N. Metropolis and Gian-Carlo Rota / 241 \\ \\ I Introduction / 241 \\ II The Arithmetic of Binary Strings / 243 \\ III Multiplication / 247 \\ IV Binary Functions / 250 \\ \\ Practical Algorithms for Finding the Type of a Polynomial / John J. H. Miller / / 253 \\ \\ I Introduction / 253 \\ II The Type of a Polynomial Relative to the Unit Circle / 254 \\ III The Type of a Polynomial Relative to the Imaginary Axis / 256 \\ IV Examples / 260 \\ \\ The Edge-Function Method in Elastostatics / P. M. Quinlan / 265 \\ \\ Introduction / 265 \\ I The Elastostatic Problem / 266 \\ II Edge-Functions for a Polygonal Region / 267 \\ III Derived Edge-Functions / 269 \\ IV Some Particular Integrals / 271 \\ V Polygonal Beam: The Boundary Identity Problem / 272 \\ VI Trapezoidal Beam --- Illustration Examples / 276 \\ VII Polar Elasto-Functions / 278 \\ VIII Singular Loadings / 282 \\ IX Singular Loadings on Boundary / 284 \\ X Symmetrical Functions / 286 \\ XI Symmetrical Singular Loadings / 287 \\ XII Applications / 288 \\ \\ Generalised Lobatto Quadrature Formulas for Contour Integrals / S. J. Maskell and R. A. Sack / 295 \\ \\ I Introduction / 295 \\ II General Formulas for the Coefficients / 298 \\ I II Generalized Lobatto- Mehler Quadrature / 300 \\ IV Numerical Tests / 303 \\ V Conclusions / 308 \\ \\ Spline Functions and Differential Equations --- First Order Equations / I. J. Schoenberg / 311 \\ \\ I A Remark Due to C. Lanczos / 311 \\ II The Spline Approximations of Higher Degree / 313 \\ III The Construction of the Spline Approximation $S(x)$ / 314 \\ IV The Unique Existence of $S_n(x)$ and on Error Estimate / 316 \\ V All Derivatives of $S(x)$ Approximate those of $y(x)$ / 320 \\ VI Examples / 321", } @Book{Householder:1975:TMN, author = "Alston Scott Householder", booktitle = "The Theory of Matrices in Numerical Analysis", title = "The Theory of Matrices in Numerical Analysis", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xi + 257", year = "1975", ISBN = "0-486-61781-5", ISBN-13 = "978-0-486-61781-7", LCCN = "QA188 .H67 1975", MRclass = "65FXX", MRnumber = "0378371", bibdate = "Sun Nov 23 09:13:33 MST 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; z3950.loc.gov:7090/Voyager", ZMnumber = "0329.65003", acknowledgement = ack-nhfb, author-dates = "1904--1993", remark = "Originally published in \cite{Householder:1964:TMN}. Previous edition classed, QA263.H67 (class number shift).", subject = "Matrices; Numerical analysis", tableofcontents = "1. Some Basic Identities and Inequalities // 1.0 Objectives; Notation / 1 \\ 1.1 Elementary Matrices / 3 \\ 1.2 Some Factorizations / 4 \\ 1.3 Projections, and the General Reciprocal / 8 \\ 1.4 Some Determinantal Identities / 10 \\ 1.5 The Lanczos Algorithm for Tridiagonalization / 17 \\ 1.6 Orthogonal Polynomials / 24 \\ References / 27 \\ Problems and Exercises / 29 \\ 2. Norms, Bounds, and Convergence // 2.0 The Notion of a Norm / 37 \\ 2.1 Convex Sets and Convex Bodies / 38 \\ 2.2 Norms and Bounds / 39 \\ 2.3 Norms, Bounds, and Spectral Radii / 45 \\ 2.4 Nonnegative Matrices / 48 \\ 2.5 Convergence; Functions of Matrices / 53 \\ References / 55 \\ Problems and Exercises / 57 \\ 3. Localization Theorems and Other Inequalities // 3.0 Basic Definitions / 64 \\ 3.1 Exclusion Theorems / 65 \\ 3.2 Inclusion and Separation Theorems / 70 \\ 3.3 Minimax Theorems and the Field of Values / 74 \\ 3.4 Inequalities of Wielandt and Kantrovich / 81 \\ References / 84 \\ Problems and Exercises / 85 \\ 4. The Solution of Linear Systems: Methods of Successive Approximation // 4.0 Direct Methods and Others / 91 \\ 4.1 The Inversion of Matrices / 94 \\ 4.2 Methods of Projection / 98 \\ 4.3 Norm-Reducing Methods / 103 \\ References / 115 \\ Problems and Exercises / 116 \\ 5. Direct Methods of Inversion // 5.0 Uses of the Inverse / 122 \\ 5.1 The Method of Modification / 123 \\ 5.2 Triangularization / 125 \\ 5.3 A More General Formulation / 131 \\ 5.4 Orthogonal Triangularization / 133 \\ 5.5 Orthogonalization / 134 \\ 5.6 Orthogonalization and Projection / 137 \\ 5.7 The Method of Conjugate Gradients / 139 \\ References / 141 \\ Problems and Exercises / 142 \\ 6. Proper Values and Vectors: Normalization and Reduction of the Matrix // 6.0 Purpose of Normalization / 147 \\ 6.1 The Method of Krylov / 149 \\ 6.2 The Weber--Voetter Method / 151 \\ 6.3 The Method of Danilevskii / 156 \\ 6.4 The Hessenberg and the Lanczos Reductions / 158 \\ 6.5 Proper Values and Vectors / 163 \\ 6.6 The Method of Samuelson and Bryan / 165 \\ 6.7 The Method of Leverrier / 166 \\ 6.8 Deflation / 168 \\ References / 172 \\ Problems and Exercises / 172 \\ 7. Proper Values and Vectors: Successive Approximation // 7.0 Methods of Successive Approximation / 178 \\ 7.1 The Method of Jacobi / 179 \\ 7.2 The Method of Collar and Jahn / 181 \\ 7.3 Powers of a Matrix / 182 \\ 7.4 Simple Iteration (the Power Method) / 187 \\ 7.5 Multiple Roots and Principal Vectors / 190 \\ 7.6 Staircase Iteration (Treppeniteration) / 191 \\ 7.7 The $L R$-Transformation / 194 \\ 7.8 Bi-iteration / 196 \\ 7.9 The $Q R$-Transformation / 197 \\ References / 198 \\ Problems and Exercises / 199 \\ Bibliography / 203 \\ Index / 249", } @Proceedings{Metropolis:1980:HCT, editor = "Nicholas Metropolis and Jack Howlett and Gian-Carlo Rota", booktitle = "A History of Computing in the {Twentieth Century}: a Collection of Essays", title = "A History of Computing in the {Twentieth Century}: a Collection of Essays", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xix + 659", year = "1980", DOI = "https://doi.org/10.1016/C2009-0-22029-0", ISBN = "0-12-491650-3, 1-4832-9668-7 (e-book)", ISBN-13 = "978-0-12-491650-0, 978-1-4832-9668-5 (e-book)", LCCN = "QA75.5 .I63 1976", bibdate = "Tue Aug 15 18:57:33 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib; https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib", note = "Original versions of these papers were presented at the International Research Conference on the History of Computing, held at the Los Alamos Scientific Laboratory, 10--15 June 1976.", abstract = "\booktitle{A History of Computing in the Twentieth Century} focuses on the advancements in the processes, methodologies, programs, and techniques in computing. The selection first elaborates on computing developments in Cambridge, U.S.A., pioneering work on computers at Bletchley, and the COLOSSUS. Discussions focus on secrecy and priority, the first COLOSSUS, MARK II COLOSSUS, postwar developments in computing, and the HEATH ROBINSON project. The text then ponders on Turing's work at the National Physical Laboratory and the construction of Pilot ACE, DEUCE, and ACE, the Smithsonian Computer History Project, and programming in America. Topics include origins of FORTRAN, optimization techniques in FORTRAN, DEUCE computer, and the Pilot ACE. The book takes a look at the development of programming in the USSR, advancement of programming languages, and reflections on the evolution of algorithmic language. The book also examines the computer development at Manchester University, the sieve process, MANIAC project, and the ENIAC project. The selection is a valuable reference for computer science experts and researchers interested in the development of computing.", acknowledgement = ack-nhfb, author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015)", remark = "This book contains the edited versions of the papers presented at the international research Conference on the History of Computing, held at the Los Alamos Scientific Laboratory, 10--15 June 1976. The book provides an account of the development of the first large-scale computers in the first half of the twentieth century. Each chapter describes one phase of the development and is written by either a participant or a witness to these events. The treatment is narrative and factual and is meant to give a first exposition of the res gestae. The Exposition is accessible to anyone interested in the subject and requires no technical background.", tableofcontents = "Contributors / / ii--ii \\ Front Matter / / iii--iii \\ Copyright / / iv--iv \\ Dedication [to John R. Pasta] / / v--v \\ List of Contributors / / xi--xiii \\ Preface / / xv--xvii \\ Acknowledgments / / xviii--xviii \\ Introductory Essay / N. Metropolis and Gian-Carlo Rota / xix--xx \\ Part I. Introduction \\ We would know what they thought when they did it / R. W. Hamming / 3--9 \\ Historiography: a perspective for computer scientists / Kenneth O. May / 11--18 \\ Part II. The human side \\ Computer developments 1935--1955, as seen from Cambridge, U.S.A. / Garrett Birkhoff / 21--30 \\ Pioneering work on computers at Bletchley / I. J. Good / 31--45 \\ The COLOSSUS / B. Randell / 47--92 \\ Von Neumann: the interaction of mathematics and computing / S. M. Ulam / 93--99 \\ Turing's work at the National Physical Laboratory and the construction of Pilot ACE, DEUCE, and ACE / J. H. Wilkinson / 101--114 \\ The Smithsonian computer history project and some personal recollections / Henry S. Tropp / 115--122 \\ Part III. The languages \\ Programming in America in the 1950s: some personal impressions / John Backus / 125--135 \\ The early development of programming in the USSR / Andrei P. Ershov and Mikhail R. Shura-Bura / 137--196 \\ The early development of programming languages / Donald E. Knuth and Luis Trabb Pardo / 197--273 \\ Reflections on the evolution of algorithmic language / Mark B. Wells / 275--287 \\ Part IV. The machines \\ Computer development at the Institute for Advanced Study / Julian Bigelow / 291--310 \\ From ENIAC to the stored-program computer: two revolutions in computers / Arthur W. Burks / 311--344 \\ Computer development at Argonne National Laboratory / J. C. Chu / 345--346 \\ The ORDVAC and the ILLIAC / James E. Robertson \\ WHIRLWIND / Robert R. Everett // 347--364 \\ Reminiscences of Oak Ridge / A. S. Householder / 385--388 \\ Computer development at IBM / Cuthbert C. Hurd / 389--418 \\ The SWAC: the National Bureau of Weather Standards Western Automatic Computer / Harry D. Huskey / 419--431 \\ Computer development at Manchester University / S. H. Lavington / 433--443 \\ A history of the sieve process / D. H. Lehmer / 445--456 \\ The MANIAC / N. Metropolis / 457--464 \\ Early research on computers at RCA / Jan Rajchman / 465--469 \\ Memories of the Bureau of Standards' SEAC / Ralph J. Slutz / 471--477 \\ Early computers / George R. Stibitz / 479--483 \\ The start of an ERA: Engineering Research Associates, Inc., 1946--1955 / Erwin Tomash / 485--495 \\ Early programming development in Cambridge / M. V. Wilkes / 497--501 \\ Part V. The places \\ Between Zuse and Rutishauser: the early development of digital computing in central Europe / Friedrich L. Bauer / 505--524 \\ The ENIAC / J. Presper Eckert, Jr. / 525--539 \\ The ENIAC / John W. Mauchly / 541--550 \\ Computers in the University of London, 1945--1962 / Andrew D. Booth / 551--561 \\ A programmer's early memories / Edsger W. Dijkstra / 563--573 \\ Early history of computing in Japan / Ryota Suekane / 575--578 \\ From mechanical linkages to electronic computers: recollections from Czechoslovakia / Antonin Svoboda / 579--586 \\ Central European prehistory of computing / H. Zemanek / 587--609 \\ Some remarks on the history of computing in Germany / Konrad Zuse / 611--627 \\ The origins of digital computers: supplementary bibliography / B. Randell // 629--659 \\ General Index / / 661--683 \\ Index of Claimed Firsts and Inventions / 684--685 \\ Index of Names / 686--693", } @Proceedings{Martin:1988:SPN, editor = "Joanne L. Martin and Stephen F. Lundstrom", booktitle = "{Supercomputing '88: proceedings, November 14--18, 1988, Orlando, Florida}", title = "{Supercomputing '88: proceedings, November 14--18, 1988, Orlando, Florida}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "viii + 263", year = "1988", ISBN = "0-8186-0882-X (v. 1; paper), 0-8186-8882-3 (v. 1; case), 0-8186-4882-1 (v. 1: microfiche) 0-8186-8923-4 (v. 2), 0-8186-5923-X (v. 2: microfiche), 0-8186-8923-4 (v. 2: case)", ISBN-13 = "978-0-8186-0882-7 (v. 1; paper), 978-0-8186-8882-9 (v. 1; case), 978-0-8186-4882-3 (v. 1: microfiche) 978-0-8186-8923-9 (v. 2), 978-0-8186-5923-2 (v. 2: microfiche), 978-0-8186-8923-9 (v. 2: case)", LCCN = "QA76.5 .S894 1988", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", note = "Two volumes. IEEE catalog number 88CH2617-9. IEEE Computer Society Order Number 882.", acknowledgement = ack-nhfb, classification = "C5440 (Multiprocessor systems and techniques); C7300 (Natural sciences)", keywords = "biology computing; chemistry; computational biology; computational fluid dynamics; computational mathematics; computational physics; flow simulation; global change; mathematics computing; parallel processing; physics computing; structural analysis; structural engineering computing; supercomputers --- congresses", } @Book{Evans:1990:SS, editor = "R. G. Evans and S. Wilson", booktitle = "Supercomputational Science", title = "Supercomputational Science", publisher = "Springer US", address = "Boston, MA, USA", pages = "349", year = "1990", DOI = "https://doi.org/10.1007/978-1-4684-5820-6", ISBN = "0-306-43663-9, 1-4684-5820-5 (ebook)", ISBN-13 = "978-0-306-43663-5, 978-1-4684-5820-6 (e-book), 978-1-4684-5822-0", LCCN = "QA76.5 .S89437 1990", bibdate = "Fri Dec 21 14:47:16 MST 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "In contemporary research, the supercomputer now ranks, along with radio telescopes, particle accelerators and the other apparatus of ``big science'', as an expensive resource, which is nevertheless essential for state of the art research. Supercomputers are usually provided as shar.ed central facilities. However, unlike, telescopes and accelerators, they are find a wide range of applications which extends across a broad spectrum of research activity. The difference in performance between a ``good'' and a ``bad'' computer program on a traditional serial computer may be a factor of two or three, but on a contemporary supercomputer it can easily be a factor of one hundred or even more! Furthermore, this factor is likely to increase with future generations of machines. In keeping with the large capital and recurrent costs of these machines, it is appropriate to devote effort to training and familiarization so that supercomputers are employed to best effect. This volume records the lectures delivered at a Summer School held at The Coseners House in Abingdon, which was an attempt to disseminate research methods in the different areas in which supercomputers are used. It is hoped that the publication of the lectures in this form will enable the experiences and achievements of supercomputer users to be shared with a larger audience. We thank all the lecturers and participants for making the Summer School an enjoyable and profitable experience. Finally, we thank the Science and Engineering Research Council and The Computer Board for supporting the Summer School.", acknowledgement = ack-nhfb, subject = "Medicine; Medicine.", tableofcontents = "Supercomputers in the Computational Sciences \\ Supercomputing on Conventional Architectures \\ Supercomputing with Novel Architectures \\ Good Programming Techniques I: Testing and the Life Cycle of a Software Product \\ Good Programming Techniques II: Test Case Design Methodologies \\ Good Programming Techniques III: Non-Computer Based Testing \\ Parallel Processing on Shared Memory Multi-User Systems \\ Running FORTRAN Programmes in an OCCAM Environment \\ Numerical Recipes for Supercomputers \\ The NAG Library in a Supercomputing Environment \\ Computer Simulation of Plasmas \\ Computational Implementation of the R-Matrix Method in Atomic and Molecular Collision Problems \\ Multitasking the Householder Diagonalization Algorithm on the CRAY X-MP/48 \\ Relativistic Atomic Structure Calculations I: Basic Theory and the Finite Basis Set Approximation \\ Relativistic Atomic Structure Calculations II: Computational Aspects of the Finite Basis Set Method \\ Vector Processing and Parallel Processing in Many-Body Perturbation Theory Calculations for Electron Correlation Effects in Atoms and Molecules \\ Electron Correlation in Small Molecules and the Configuration Interaction Method \\ Energy Minimization and Structure Factor Refinement Methods \\ Molecular Dynamics Methods \\ Molecular Dynamics of Protein Molecules \\ Supercomputers in Drug Design \\ Path Integral Simulations of Excess Electrons in Condensed Matter \\ Computational Methods in Electronic Structure Calculations of Complex Solids \\ Implementation of a Numerical Sea Model on a CRAY X-MP Series Computer \\ River Flood Prediction: A Study in FORTRAN Optimization \\ Supercomputing \\ A Forward Look \\ Contributors", } @Book{Nash:1990:HSC, editor = "Stephen G. Nash", booktitle = "A History of Scientific Computing", title = "A History of Scientific Computing", publisher = pub-AW # " and " # pub-ACM, address = pub-AW # " and " # pub-ACM:adr, pages = "xix + 359", year = "1990", ISBN = "0-201-50814-1", ISBN-13 = "978-0-201-50814-7", LCCN = "QA76.17 .H59 1990", bibdate = "Wed Dec 15 10:39:57 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "ACM Press history series", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022); Garrett Birkhoff (19 January 1911--22 November 1996); Magnus Rudolph Hestenes (13 February 1906--31 May 1991)", remark = "Based on papers presented at the Conference on the History of Scientific and Numeric Computation, held in Princeton, NJ, 1987. A few brief mentions of Alston Householder are indexed in the book, with photographs of him on pages xvi and 344.", subject = "Electronic data processing; History; Science; Data processing", tableofcontents = "Remembrance of things past / Herman H. Goldstine / 5--16 \\ The contribution of J. H. Wilkinson to numerical analysis / B. N. Parlett / 17--30 \\ The influence of George Forsythe and his students / James Varah / 31--40 \\ Howard H. Aiken and the computer / I. Bernard Cohen / 41--52 \\ Particles in their self-consistent field: from Hartree's differential analyzer to Cray machines / Oscar Buneman / 57--62 \\ Fluid dynamics, reactor computations, and surface representation / Garrett Birkhoff / 63--87 \\ The development of ODE methods: a symbiosis between hardware and numerical analysis / C. W. Gear and R. D. Skeel / 88--105 \\ A personal retrospection of reservoir simulation / Donald W. Peaceman / 106--129 \\ How the FFT gained acceptance / James W. Cooley / 133--140 \\ Origins of the simplex method / George B. Dantzig / 141--151 \\ Historical comments on finite elements / J. Tinsley Oden / 152--166 \\ Conjugacy and gradients / Magnus R. Hestenes / 167--179 \\ A historical review of iterative methods / David M. Young / 180--194 \\ Shaping the evolution of numerical analysis in the computer age: the SIAM thrust / I. Edward Block / 199--205 \\ Reminiscences on the University of Michigan summer schools, the Gatlinburg Symposia, and Numerische Mathematik / Richard S. Varga / 206--210 \\ The origin of mathematics of computation and some personal recollections / Eugene Isaacson / 211--216 \\ Mathematical software and ACM publications / John R. Rice / 217--227 \\ BIT --- a child of the computer / Carl-Erik Fr{\"o}berg / 228--233 \\ The Los Alamos experience, 1943--1954 / N. Metropolis / 237--250 \\ The prehistory and early history of computation at the U.S. National Bureau of Standards / John Todd / 251--268 \\ Programmed computing at the Universities of Cambridge and Illinois in the early fifties / David J. Wheeler / 269--279 \\ Early numerical analysis in the United Kingdom / L. Fox / 280--300 \\ The pioneer days of scientific computing in Switzerland / Martin H. Gutknecht / 301--313 \\ The development of computational mathematics in Czechoslovakia and the USSR / I. Babuska / 314--328 \\ The contribution of Leningrad mathematicians to the development of numerical linear algebra, 1950--1986 / V. N. Kublanovskaya / 329--338", } @Proceedings{Kornerup:1991:PIS, editor = "Peter Kornerup and David W. Matula", booktitle = "{Proceedings: 10th IEEE Symposium on Computer Arithmetic: June 26--28, 1991, Grenoble, France}", title = "{Proceedings: 10th IEEE Symposium on Computer Arithmetic: June 26--28, 1991, Grenoble, France}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xiii + 282", year = "1991", ISBN = "0-8186-9151-4 (case), 0-8186-6151-8 (microfiche), 0-7803-0187-0 (library binding)", ISBN-13 = "978-0-8186-9151-5 (case), 978-0-8186-6151-8 (microfiche), 978-0-7803-0187-0 (library binding)", LCCN = "QA76.9.C62 S95 1991", bibdate = "Thu Sep 01 23:18:52 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE catalog no. 91CH3015-5.", acknowledgement = ack-nhfb, confdate = "26-28 June 1991", conflocation = "Grenoble, France", confsponsor = "IEEE; CNRS; IMAG", keywords = "ARITH-10", } @Proceedings{Balakrishnan:1994:CSE, editor = "N. Balakrishnan and T. Radhakrishnan and D. Sampath and S. Sundaram", booktitle = "{Computer Systems and Education. Proceedings of the International Conference on Computer Systems and Education in Honour of Prof. V. Rajaraman}", title = "{Computer Systems and Education. Proceedings of the International Conference on Computer Systems and Education in Honour of Prof. V. Rajaraman}", publisher = pub-TATA-MCGRAW-HILL, address = pub-TATA-MCGRAW-HILL:adr, pages = "xv + 414", year = "1994", ISBN = "0-07-462044-4", ISBN-13 = "978-0-07-462044-1", bibdate = "Wed Sep 11 06:28:25 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/spell.bib", acknowledgement = ack-nhfb, confdate = "22--25 June 1994", conflocation = "Bangalore, India", confsponsor = "IEEE (Bangalore Chapter); CSI (Bangalore Chapter); CDC; IBM", pubcountry = "India", } @Proceedings{Higham:1998:NAP, editor = "D. J. (Desmond J.) Higham and G. A. Watson and D. F. (David Francis) Griffiths", booktitle = "{Numerical analysis 1997: Proceedings of the 17th Dundee Biennial Conference, June 24--27, 1997}", title = "{Numerical analysis 1997: proceedings of the 17th Dundee Biennial Conference, June 24--27, 1997}", volume = "380", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "254", year = "1998", ISBN = "0-582-31261-2 (paperback)", ISBN-13 = "978-0-582-31261-6 (paperback)", ISSN = "0269-3674", ISSN-L = "0269-3674", LCCN = "QA297 .D85 1997", bibdate = "Tue Jan 3 15:19:05 MST 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, meetingname = "Dundee Conference on Numerical Analysis (17th: 1997)", subject = "Numerical analysis; Congresses", } @Book{Householder:2006:TMN, author = "Alston Scott Householder", booktitle = "The Theory of Matrices in Numerical Analysis", title = "The Theory of Matrices in Numerical Analysis", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xi + 257", year = "2006", ISBN = "0-486-44972-6 (paperback)", ISBN-13 = "978-0-486-44972-2 (paperback)", LCCN = "QA188 .H67 2006", bibdate = "Tue Jun 19 06:23:59 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana2000.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0634/2005054775-d.html", abstract = "Suitable for advanced undergraduates and graduate students, this text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate mathematical principles underlying linear equations and their interrelationships, including methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors.", acknowledgement = ack-nhfb, author-dates = "1904--1993", remark = "Originally published in \cite{Householder:1964:TMN}.", subject = "Matrices; Numerical analysis", tableofcontents = "1. Some basic identities and inequalities \\ 2. Norms, bounds, and convergence \\ 3. Localization theorems and other inequalities (exclusion theorems; inclusion and separation theorems; minimax theorems: inequalities of Wielandt and Kantorovich) \\ 4. The solution of linear systems: methods of successive approximation \\ 5. Direct methods of inversion \\ 6. Proper values and vectors: normalization and reduction of the matrix (methods of Krylov, Webber-Voetter, Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan, Leverrier, etc.) \\ 7. Proper values and vectors: successive approximation (methods of Jacobi, Collar and Jahn; power method; $LR$ and $QR$ transformations)", } @Proceedings{Simos:2007:CMS, editor = "Theodore E. Simos and George Maroulis", booktitle = "{Computation in Modern Science and Engineering: Proceedings of the [Fifth] International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007), Corfu, Greece, 25--30 September 2007}", title = "{Computation in Modern Science and Engineering: Proceedings of the [Fifth] International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007), Corfu, Greece, 25--30 September 2007}", volume = "2A, 2B", publisher = pub-AIP, address = pub-AIP:adr, bookpages = "xxvi + 730 + 10 (vol. 2A)", pages = "xxvi + 730 + 10 (vol. 2A)", year = "2007", ISBN = "0-7354-0476-3 (set), 0-7354-0477-1 (vol. 1), 0-7354-0478-X (vol. 2)", ISBN-13 = "978-0-7354-0476-2 (set), 978-0-7354-0477-9 (vol. 1), 978-0-7354-0478-6 (vol. 2)", ISSN = "0094-243X (print), 1551-7616 (electronic), 1935-0465", ISSN-L = "0094-243X", LCCN = "Q183.9 .I524 2007", bibdate = "Thu Feb 21 14:15:15 2008", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/iccmse2007.bib", series = "AIP Conference Proceedings (\#963)", URL = "http://www.springer.com/physics/atoms/book/978-0-7354-0478-6", abstract = "All papers have been peer-reviewed. The aim of ICCMSE 2007 is to bring together computational scientists and engineers from several disciplines in order to share methods, methodologies and ideas. The potential readers of these proceedings are all the scientists with interest in the following fields: Computational Mathematics, Theoretical Physics, Computational Physics, Theoretical Chemistry, Computational Chemistry, Mathematical Chemistry, Computational Engineering, Computational Mechanics, Computational Biology and Medicine, Scientific Computation, High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Software Tools, Advanced Numerical Algorithms, Modeling and Simulation of Complex Systems, Web-based Simulation and Computing, Grid-based Simulation and Computing, Computational Grids, and Computer Science.", acknowledgement = ack-nhfb, remark = "Two volumes.", } @Proceedings{May:2009:PIS, editor = "John P. May", booktitle = "{Proceedings of the 2009 international symposium on Symbolic and algebraic computation, KIAS, Seoul, Korea, July 28--31, 2009}", title = "{Proceedings of the 2009 international symposium on Symbolic and algebraic computation, KIAS, Seoul, Korea, July 28--31, 2009}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xi + 389", year = "2009", ISBN = "1-60558-609-9", ISBN-13 = "978-1-60558-609-0", bibdate = "Fri Jun 20 08:53:37 2009", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/issac.bib", acknowledgement = ack-nhfb, }

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