%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.08",
%%% date = "28 August 2020",
%%% time = "09:55:39 MDT",
%%% 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 = "http://www.math.utah.edu/~beebe",
%%% checksum = "03801 14471 58808 631409",
%%% 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 1.08, the year coverage looked
%%% like this:
%%%
%%% 1926 ( 1) 1957 ( 4) 1988 ( 10)
%%% 1927 ( 0) 1958 ( 6) 1989 ( 7)
%%% 1928 ( 0) 1959 ( 6) 1990 ( 12)
%%% 1929 ( 0) 1960 ( 6) 1991 ( 6)
%%% 1930 ( 0) 1961 ( 3) 1992 ( 9)
%%% 1931 ( 0) 1962 ( 3) 1993 ( 7)
%%% 1932 ( 0) 1963 ( 8) 1994 ( 5)
%%% 1933 ( 0) 1964 ( 5) 1995 ( 3)
%%% 1934 ( 3) 1965 ( 4) 1996 ( 6)
%%% 1935 ( 5) 1966 ( 8) 1997 ( 9)
%%% 1936 ( 1) 1967 ( 5) 1998 ( 8)
%%% 1937 ( 6) 1968 ( 9) 1999 ( 8)
%%% 1938 ( 4) 1969 ( 8) 2000 ( 7)
%%% 1939 ( 4) 1970 ( 12) 2001 ( 3)
%%% 1940 ( 9) 1971 ( 11) 2002 ( 3)
%%% 1941 ( 8) 1972 ( 8) 2003 ( 4)
%%% 1942 ( 6) 1973 ( 5) 2004 ( 4)
%%% 1943 ( 5) 1974 ( 8) 2005 ( 6)
%%% 1944 ( 4) 1975 ( 8) 2006 ( 13)
%%% 1945 ( 2) 1976 ( 5) 2007 ( 10)
%%% 1946 ( 4) 1977 ( 3) 2008 ( 13)
%%% 1947 ( 4) 1978 ( 3) 2009 ( 10)
%%% 1948 ( 0) 1979 ( 4) 2010 ( 11)
%%% 1949 ( 3) 1980 ( 3) 2011 ( 6)
%%% 1950 ( 4) 1981 ( 2) 2012 ( 12)
%%% 1951 ( 6) 1982 ( 1) 2013 ( 11)
%%% 1952 ( 2) 1983 ( 4) 2014 ( 6)
%%% 1953 ( 4) 1984 ( 3) 2015 ( 10)
%%% 1954 ( 9) 1985 ( 3) 2016 ( 11)
%%% 1955 ( 10) 1986 ( 5) 2017 ( 7)
%%% 1956 ( 14) 1987 ( 10) 2018 ( 11)
%%%
%%% Article: 361
%%% Book: 18
%%% InCollection: 20
%%% InProceedings: 74
%%% MastersThesis: 1
%%% Misc: 5
%%% PhdThesis: 3
%%% Proceedings: 11
%%% TechReport: 46
%%%
%%% Total entries: 539
%%%
%%% 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.",
%%% }
%%% ====================================================================
@Preamble{
"\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
"\ifx \undefined \Dbar \def \Dbar {\leavevmode\raise0.2ex\hbox{--}\kern-0.5emD} \fi" #
"\ifx \undefined \k \let \k = \c \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi"
}
%%% ====================================================================
%%% 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|http://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 = "http://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;
http://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;
http://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;
http://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 = "http://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;
http://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/page/journal/amermathmont/about.html",
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;
http://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;
http://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;
http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://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 = "http://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;
http://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 = "http://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 = "http://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;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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/page/journal/amermathmont/about.html",
}
@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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://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/page/journal/amermathmont/about.html",
}
@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 = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/tex/bib/compj.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/tex/bib/compj.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://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/page/journal/amermathmont/about.html",
}
@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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/compj.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://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,
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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
acknowledgement = ack-nhfb,
}
@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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
acknowledgement = ack-nhfb,
language = "German",
}
@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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 $} Factorization on the {DAP}
Using {Householder} Transformations",
number = "CUED/F-CAMS/TR.241",
institution = "Cambridge University Engineering Department",
address = "Cambridge, UK",
year = "1984",
bibdate = "Sat Dec 22 07:24:01 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
acknowledgement = ack-nhfb,
}
@Article{Bowgen:1985:IFD,
author = "G. S. J. Bowgen and J. J. Modi",
title = "Implementation of {$ 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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 $} representation for
products of {Householder} transformations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "10",
number = "1",
pages = "53--57",
month = jan,
year = "1989",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0910005",
ISSN = "0196-5204 (print), 2168-3417 (electronic)",
ISSN-L = "0196-5204",
MRclass = "65F30 (65W05)",
MRnumber = "976161 (90b:65076)",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Res. Inst. for Adv. Comput. Sci., NASA, Ames Res.
Center, Moffett Field, CA, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
keywords = "high-performance computing; Householder
transformations; matrices; matrix algebra;
matrix-matrix multiplication; numerical methods;
storage-efficient; WY representation",
onlinedate = "January 1989",
treatment = "T Theoretical or Mathematical",
}
@Article{Yang:1989:RBA,
author = "Shu Guang Yang",
title = "The realization of the best approximation from the
space {$ 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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 $} factorization by {Householder} and
modified {Gram--Schmidt} algorithms",
journal = j-PARALLEL-COMPUTING,
volume = "16",
number = "1",
pages = "99--112",
month = nov,
year = "1990",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory); C5470 (Performance evaluation and
testing)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
keywords = "algorithms; Householder; matrix; matrix algebra;
message passing systems; modified Gram--Schmidt
algorithms; parallel algorithms; parallel
implementation; performance; performance evaluation; QR
factorization",
treatment = "P Practical",
}
@Article{Rolfe:1990:TCH,
author = "Timothy J. Rolfe",
title = "Timing comparisons of the {Householder} {$ 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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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/;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/compsurv.bib",
URL = "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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 $} algorithm
for transducer placement in active noise control
systems",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "57--60",
year = "1995",
DOI = "https://doi.org/10.1109/ASPAA.1995.482947",
ISBN = "0-7803-3064-1",
ISBN-13 = "978-0-7803-3064-1",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=482947",
acknowledgement = ack-nhfb,
}
@Article{Hsiao:1995:HCA,
author = "Shen-Fu Hsiao and J.-M. Delosme",
title = "{Householder CORDIC} algorithms",
journal = j-IEEE-TRANS-COMPUT,
volume = "44",
number = "8",
pages = "990--1001",
month = aug,
year = "1995",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/12.403715",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 6 08:01:29 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=403715",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@InProceedings{Doallo:1996:SHQ,
author = "R. Doallo and J. Tourino and E. L. Zapata",
booktitle = "{Proceedings of 4th Euromicro Workshop on Parallel and
Distributed Processing}",
title = "Sparse {Householder} {$ Q R $} factorization on a
mesh",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "33--39",
year = "1996",
DOI = "https://doi.org/10.1109/EMPDP.1996.500566",
ISBN = "0-8186-7376-1",
ISBN-13 = "978-0-8186-7376-4",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=500566",
acknowledgement = ack-nhfb,
}
@InProceedings{Kajita:1996:DMO,
author = "K. Kajita and H. Kobayashi and S. Muramatsu and A.
Yamada and H. Kiya",
booktitle = "{1996 8th European Signal Processing Conference
(EUSIPCO 1996)}",
title = "A design method for oversampled paraunitary {DFT}
filter banks using {Householder} factorization",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1--4",
year = "1996",
ISBN = "88-86179-83-9",
ISBN-13 = "978-88-86179-83-6",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7082857",
acknowledgement = ack-nhfb,
}
@Article{Leoncini:1996:PCH,
author = "Mauro Leoncini and Giovanni Manzini and Luciano
Margara",
booktitle = "{Algorithms---ESA '96 (Barcelona)}",
title = "Parallel Complexity of {Householder} {$ Q R $}
Factorization",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1136",
pages = "290--301",
year = "1996",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/3-540-61680-2_63",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
MRclass = "65F05 (65Y20 68Q25)",
MRnumber = "1469238",
bibdate = "Sat Dec 21 09:47:26 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@InProceedings{Rontogiannis:1996:ALA,
author = "A. A. Rontogiannis and S. Theodoridis",
booktitle = "{Proceedings of Third International Conference on
Electronics, Circuits, and Systems}",
title = "An adaptive {$ L S $} algorithm based on orthogonal
{Householder} transformations",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "860--863",
year = "1996",
DOI = "https://doi.org/10.1109/ICECS.1996.584518",
ISBN = "0-7803-3650-X",
ISBN-13 = "978-0-7803-3650-6",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=584518",
acknowledgement = ack-nhfb,
}
@Article{Shukuzawa:1996:RTH,
author = "Osamu Shukuzawa and Toshio Suzuki and Ichiro Yokota",
title = "Real tridiagonalization of {Hermitian} matrices by
modified {Householder} transformation",
journal = j-PROC-JAPAN-ACAD-SER-A-MATH-SCI,
volume = "72",
number = "5",
pages = "102--103",
year = "1996",
CODEN = "PJAADT",
ISSN = "0386-2194",
ISSN-L = "0386-2194",
MRclass = "65F15",
MRnumber = "1404481",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "http://projecteuclid.org/euclid.pja/1195510371",
acknowledgement = ack-nhfb,
fjournal = "Japan Academy. Proceedings. Series A. Mathematical
Sciences",
journal-URL = "http://projecteuclid.org/pja",
}
@Article{Carrig:1997:EHF,
author = "James J. {Carrig, Jr.} and Gerard G. L. Meyer",
title = "Efficient {Householder} {$ 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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 $} factorization for
weighted least squares problems",
volume = "380",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "57--73",
year = "1998",
MRclass = "65F20",
MRnumber = "1636927",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
}
@InProceedings{Cox:1998:SHQ,
author = "Anthony J. Cox and Nicholas J. Higham",
editor = "D. F. Griffiths and D. J. Higham and G. A. Watson",
booktitle = "{Numerical Analysis 1997, Proceedings of the 17th
Dundee Biennial Conference}",
title = "Stability of {Householder} {$ Q R $} Factorization for
Weighted Least Squares Problems",
crossref = "Higham:1998:NAP",
volume = "380",
publisher = pub-A-W-LONGMAN,
address = pub-A-W-LONGMAN:adr,
pages = "57--73",
year = "1998",
bibdate = "Mon Aug 29 22:30:58 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 $} matrix diagonalisation algorithm",
journal = j-PARALLEL-COMPUTING,
volume = "25",
number = "3",
pages = "311--319",
year = "1999",
CODEN = "PACOEJ",
DOI = "https://doi.org/10.1016/S0167-8191(98)00116-1",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
MRclass = "65F25 (15A21)",
MRnumber = "1670904",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
acknowledgement = ack-nhfb,
fjournal = "Parallel Computing. Systems \& Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
}
@Article{Rotella:1999:BHT,
author = "F. Rotella and I. Zambettakis",
title = "Block {Householder} transformation for parallel {$ 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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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
$} curve-fitting techniques",
journal = "IEEE Transactions on Advanced Packaging",
volume = "23",
number = "2",
pages = "142--147",
year = "2000",
DOI = "https://doi.org/10.1109/6040.846624",
ISSN = "1521-3323 (print), 1557-9980 (electronic)",
ISSN-L = "1521-3323",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=846624",
acknowledgement = ack-nhfb,
}
@InProceedings{Luo:2000:PAH,
author = "Xiaoqiang Luo",
booktitle = "2000 IEEE International Conference on Acoustics,
Speech, and Signal Processing. Proceedings (Cat.
No.00CH37100)",
title = "Parser adaptation via {Householder} transform",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "II:1225--II:1228",
year = "2000",
DOI = "https://doi.org/10.1109/ICASSP.2000.859187",
ISBN = "0-7803-6293-4",
ISBN-13 = "978-0-7803-6293-2",
ISSN = "1520-6149",
ISSN-L = "1520-6149",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=859187",
acknowledgement = ack-nhfb,
}
@Article{Xu:2000:MDH,
author = "Ming Hua Xu",
title = "A method for determining the {Householder} transform
in the algorithm {$ {\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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 $} Factorization Algorithm for High
Performance Computing Architectures",
howpublished = "24 lecture slides.",
day = "21",
month = may,
year = "2003",
bibdate = "Fri Dec 21 16:23:10 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://apps.dtic.mil/dtic/tr/fulltext/u2/a419884.pdf",
acknowledgement = ack-nhfb,
}
@TechReport{Vouras:2003:HQFa,
author = "Peter G. Vouras and Gerard G. L. Meyer",
title = "Hybrid {$ 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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 $}",
type = "LAPACK Working Note",
number = "203",
institution = inst-UCB-EECS,
address = inst-UCB-EECS:adr,
day = "30",
month = may,
year = "2008",
bibdate = "Fri Apr 24 12:25:43 2009",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/lawn.bib",
URL = "http://www.netlib.org/lapack/lawnspdf/lawn203.pdf",
abstract = "The Householder reflections used in LAPACK's {$ 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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 $}
factorization via optimal symplectic {Householder}
transformations",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "33",
pages = "189--206",
year = "2008--2009",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F15",
MRnumber = "2590854",
MRreviewer = "Marc Van Barel",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.33.2008-2009/pp189-206.dir/pp189-206.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Salam:2008:OSH,
author = "A. Salam and E. Al-Aidarous and A. {El Farouk}",
title = "Optimal symplectic {Householder} transformations for
{$ S R $} decomposition",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "429",
number = "5--6",
pages = "1334--1353",
day = "1",
month = sep,
year = "2008",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2008.02.029",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F15",
MRnumber = "2433181",
MRreviewer = "Joost Rommes",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Salam:2008:SHT,
author = "A. Salam and A. {El Farouk} and E. Al-Aidarous",
title = "Symplectic {Householder} transformations for a {$ Q R
$}-like decomposition, a geometric and algebraic
approaches",
journal = j-J-COMPUT-APPL-MATH,
volume = "214",
number = "2",
pages = "533--548",
day = "1",
month = may,
year = "2008",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2007.03.015",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65F30",
MRnumber = "2398350",
MRreviewer = "Elena Zampieri",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042707001537",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Demmel:2009:NDH,
author = "James W. Demmel and Mark Hoemmen and Yozo Hida and E.
Jason Riedy",
title = "Nonnegative Diagonals and High Performance on
Low-Profile Matrices from {Householder} {$ 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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/issac.bib",
acknowledgement = ack-nhfb,
}
@Article{Strobach:2009:HSW,
author = "Peter Strobach",
title = "The {$ Q S $--Householder} sliding window bi-{SVD}
subspace tracker",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "57",
number = "11",
pages = "4260--4268",
year = "2009",
CODEN = "ITPRED",
DOI = "https://doi.org/10.1109/TSP.2009.2025978",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
MRclass = "65F15 (94A12)",
MRnumber = "2683175",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
}
@Article{Strobach:2009:QHS,
author = "P. Strobach",
title = "The {$ 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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/multithreading.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 $--Householder} matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "436",
number = "7",
pages = "2653--2664",
day = "1",
month = apr,
year = "2012",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2011.10.003",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A21 (15A23)",
MRnumber = "2890024",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002437951100694X",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Mori:2012:BEA,
author = "Daisuke Mori and Yusaku Yamamoto and Shao-Liang
Zhang",
title = "Backward error analysis of the {AllReduce} algorithm
for {Householder} {$ 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 = "http://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 = "http://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 = "http://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 = "http://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 $}",
type = "Report",
number = "SAND2013-9366C 480703",
institution = "Sandia National Laboratory",
address = "Albuquerque, NM, USA",
pages = "28",
day = "1",
month = oct,
year = "2013",
bibdate = "Fri Dec 21 07:45:19 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://www.osti.gov/biblio/1116855-reconstructing-householder-vectors-from-tall-skinny-qr",
abstract = "The Tall-Skinny QR (TSQR) algorithm is more
communication efficient than the standard Householder
algorithm for QR decomposition of matrices with many
more rows than columns. However, TSQR produces a
different representation of the orthogonal factor and
therefore requires more software development to support
the new representation. Further, implicitly applying
the orthogonal factor to the trailing matrix in the
context of factoring a square matrix is more
complicated and costly than with the Householder
representation.\par
We show how to perform TSQR and then reconstruct the
Householder vector representation with the same
asymptotic communication efficiency and little extra
computational cost. We demonstrate the high performance
and numerical stability of this algorithm both
theoretically and empirically. The new Householder
reconstruction algorithm allows us to design more
efficient parallel QR algorithms, with significantly
lower latency cost compared to Householder QR and lower
bandwidth and latency costs compared with
Communication-Avoiding QR (CAQR) algorithm. As a
result, our final parallel QR algorithm outperforms
ScaLAPACK and Elemental implementations of Householder
QR and our implementation of CAQR on the Hopper Cray
XE6 NERSC system.",
acknowledgement = ack-nhfb,
}
@InProceedings{Kurniawan:2013:MHB,
author = "I. H. Kurniawan and J. Yoon and J. Park",
booktitle = "2013 IEEE International Symposium on Circuits and
Systems (ISCAS2013)",
title = "Multidimensional {Householder} based high-speed {$ 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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 $}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1159--1170",
year = "2014",
DOI = "https://doi.org/10.1109/IPDPS.2014.120",
ISBN = "1-4799-3800-9, 1-4799-3799-1",
ISBN-13 = "978-1-4799-3800-1, 978-1-4799-3799-8",
ISSN = "1530-2075",
ISSN-L = "1530-2075",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6877344",
acknowledgement = ack-nhfb,
}
@InProceedings{Javed:2014:NCE,
author = "Shazia Javed and Noor Atinah Ahmad",
editor = "H. Mat Sakim and M. Mustaffa",
booktitle = "{Proceedings of the 8th International Conference on
Robotic, Vision, Signal Processing \& Power
Applications}",
title = "Noise Cancelation From {ECG} Signals Using
{Householder-RLS} Adaptive Filter",
publisher = "Springer",
address = "Singapore",
pages = "73--79",
year = "2014",
DOI = "https://doi.org/10.1007/978-981-4585-42-2_9",
bibdate = "Fri Dec 21 15:11:13 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
series = "Lecture Notes in Electrical Engineering",
acknowledgement = ack-nhfb,
}
@Article{Salam:2014:EBM,
author = "A. Salam and E. Al-Aidarous",
title = "Equivalence between modified symplectic
{Gram--Schmidt} and {Householder} {$ 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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 $} Factorization",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "??--??",
day = "14",
month = dec,
year = "2016",
bibdate = "Fri Dec 21 10:38:24 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://arxiv.org/abs/1612.04470",
abstract = "We present efficient realization of Householder
Transform (HT) based QR factorization through
algorithm-architecture co-design where we achieve
performance improvement of 3--90$ \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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 $}-decomposition {RLS}
and {Householder} sliding window {RLS} for noise
elimination of {EEG}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "594--597",
year = "2017",
DOI = "https://doi.org/10.1109/R10-HTC.2017.8289030",
ISBN = "1-5386-2175-4, 1-5386-2174-6, 1-5386-2176-2",
ISBN-13 = "978-1-5386-2175-2, 978-1-5386-2174-5,
978-1-5386-2176-9",
ISSN = "2572-7621",
bibdate = "Fri Dec 7 10:44:18 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8289030",
acknowledgement = ack-nhfb,
}
@Article{Martinsson:2017:HFR,
author = "Per-Gunnar Martinsson and Gregorio Quintana Ort{\'i}
and Nathan Heavner and Robert van de Geijn",
title = "{Householder} {$ 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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 = "http://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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://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 Aug 28 09:55:39 2020",
}
@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 = "http://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 = "http://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 = "http://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",
}
%%% ====================================================================
%%% 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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/gnu.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://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,
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;
http://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;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://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",
ISBN = "0-12-491650-3",
ISBN-13 = "978-0-12-491650-0",
LCCN = "QA75.5 .I63 1976",
bibdate = "Tue Aug 15 18:57:33 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.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.",
acknowledgement = ack-nhfb,
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.",
}
@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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib;
http://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;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
series = "ACM Press history series",
acknowledgement = ack-nhfb,
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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://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 = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/tex/bib/issac.bib",
acknowledgement = ack-nhfb,
}
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