%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Eberhard Kranich",
%%%     version         = "1.13",
%%%     date            = "26 October 2010",
%%%     time            = "15:48:47 MDT",
%%%     filename        = "intbib.bib",
%%%     address         = "FB WiWi and OR (Prof. Dr. Gal)
%%%                        FernUniversit{\"a}t Hagen
%%%                        Postfach 940
%%%                        D-5800 Hagen 1
%%%                        Germany",
%%%     checksum        = "60396 11917 48048 425660",
%%%     email           = "WI805 at DHAFEU11 (EARN/Bitnet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography, interior point, mathematical
%%%                        programming",
%%%     license         = "public domain",
%%%     supported       = "no",
%%%     docstring       = "This is a list of references concerning
%%%                        interior point methods for mathematical
%%%                        programming.
%%%
%%%                        At version 1.13, the year coverage looked
%%%                        like this:
%%%
%%%                             1947 (  1)     1965 (  0)     1983 (  1)
%%%                             1948 (  0)     1966 (  0)     1984 ( 11)
%%%                             1949 (  0)     1967 (  2)     1985 ( 63)
%%%                             1950 (  0)     1968 (  1)     1986 ( 63)
%%%                             1951 (  1)     1969 (  1)     1987 ( 89)
%%%                             1952 (  0)     1970 (  1)     1988 (125)
%%%                             1953 (  1)     1971 (  0)     1989 (159)
%%%                             1954 (  1)     1972 (  1)     1990 (253)
%%%                             1955 (  2)     1973 (  0)     1991 (192)
%%%                             1956 (  0)     1974 (  1)     1992 (  2)
%%%                             1957 (  3)     1975 (  0)     1993 (  0)
%%%                             1960 (  0)     1978 (  1)     1996 (  0)
%%%                             1961 (  2)     1979 (  1)     1997 (  0)
%%%                             1962 (  0)     1980 (  0)     1998 (  1)
%%%                             1963 (  0)     1981 (  1)
%%%                             1964 (  0)     1982 (  1)
%%%
%%%                             Article:        304
%%%                             Book:            15
%%%                             InBook:          16
%%%                             InCollection:    76
%%%                             InProceedings:    6
%%%                             MastersThesis:    5
%%%                             Misc:             5
%%%                             PhdThesis:       16
%%%                             TechReport:     550
%%%
%%%                             Total entries:  993
%%%
%%%                        The user is kindly requested to send
%%%                        corrections and/or additions to this
%%%                        current bibliography to the forementioned
%%%                        address. This concerns especially to talks
%%%                        based on an existing, but not listed
%%%                        technical report.
%%%
%%%                        First of all, the author is deeply indebted
%%%                        to Irv Lustig, Princeton. His salient
%%%                        encouragement and cooperation have
%%%                        influenced the development and publication
%%%                        of this bibliography.
%%%
%%%                        Based on Lustig's idea ``to indicate that
%%%                        something is a talk'' (because, sometimes, a
%%%                        talk and the corresponding report differs
%%%                        only in title) the author has rewritten his
%%%                        Discussion Paper published at the
%%%                        FernUniversit{\"a}t Hagen, May 1991. A list
%%%                        of crossreferences between talks and reports
%%%                        will be soon published, I hope.
%%%
%%%                        Many thanks to Dick den Hertog, PhD-student
%%%                        at the TU Delft (The Netherlands), for
%%%                        sending his own reference list which is now
%%%                        incorporated into this bibliography.
%%%
%%%                        At last, the author is obliged to Eric
%%%                        Grosse and Dave Gay for making this
%%%                        bibliography available via NETLIB.
%%%
%%%                        Current number of references : 993
%%%
%%%                        Last edit : January 19, 1992
%%%
%%%                        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.",
%%%  }
%%% ====================================================================

@InCollection{int:Abhyankar1,
  author =       "S. S. Abhyankar and T. L. Morin and T. B. Trafalis",
  title =        "Efficient faces of polytopes~: {Interior} point
                 algorithms, parameterization of algebraic varieties,
                 and multiple objective optimization",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "319--341",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Adler1,
  author =       "I. Adler",
  title =        "A primal--dual implementation of {Karmarkar}'s
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "Operations Research Center, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Adler2,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "Limiting behavior of the affine scaling continuous
                 trajectories for linear programming problems",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "29--51",
}

@TechReport{int:Adler3,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "A geometric view of parametric linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler4,
  author =       "I. Adler and G. Veiga",
  title =        "On implementing interior point methods for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler5,
  author =       "I. Adler and N. K. Karmarkar and G. Veiga",
  title =        "Implementing an interior point algorithm for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler6,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "Implementation of an interior point algorithm for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler7,
  author =       "I. Adler and {M. de} Carvalho and M. G. C. Resende
                 and G. Veiga",
  title =        "Computational performance of variants of
                 {Karmarkar}'s algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St. Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler8,
  author =       "I. Adler and {M. de} Carvalho and M. G. C. Resende
                 and G. Veiga",
  title =        "A {Monte--Carlo} study of variants of interior point
                 algorithms",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Adler9,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "Data structures and programming techniques for the
                 implementation of {Karmarkar}'s algorithm",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "84--106",
}

@Article{int:Adler10,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "An implementation of {Karmarkar}'s algorithm for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "297--335",
  note =         "Errata in {\em Mathematical Programming}, 50:415,
                 1991",
}

@TechReport{int:Adler11,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "An interior point algorithm applied to a class of
                 convex separable programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler12,
  author =       "I. Adler",
  title =        "Implementation issues of path--following algorithms
                 for linear programming",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler13,
  author =       "I. Adler",
  title =        "Computational tests of the {Karmarkar} algorithm",
  type =         "{Talk held at the SIAM Conference on Optimization in
                 Houston, TX, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@InCollection{int:Adler14,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "Limiting behavior of the affine scaling continuous
                 trajectories for linear programming problems",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "189--211",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Akguel1,
  author =       "M. Akguel",
  title =        "A short proof of {Karmarkar}'s main result",
  journal =      "Doga Tuerk Matematik Dergisi (= Turkish Journal of
                 Mathematics, Ankara)",
  volume =       "14",
  year =         "1990",
  pages =        "48--55",
}

@Article{int:Akguel2,
  author =       "M. Akguel",
  title =        "On the exact solution of a system of linear
                 homogeneous equations via a projective algorithm",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "753--754",
}

@TechReport{int:Andersen1,
  author =       "J. Andersen and R. Levkovitz and G. Mitra and M.
                 Tamiz",
  title =        "Adopting interior search algorithms for the solution
                 of {LP}s for serial, coarse grain parallel and
                 massively parallel computers",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@TechReport{int:Andersen2,
  author =       "J. Andersen and G. Mitra",
  title =        "Solving the {Newton} iteration step of the interior
                 point method on massively parallel ({SIMD}) computer",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@Article{int:Andrusenko1,
  author =       "S. K. Andrusenko and E. A. Nurminskii and P. I.
                 Stetsyuk",
  title =        "Numerical experiments in a new class of algorithms in
                 linear programming",
  journal =      "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
                 Fiziki (Moscow)",
  volume =       "27",
  year =         "1987",
  pages =        "349--356",
  note =         "Translated in~: {\em USSR Computational Mathematics
                 and Mathematical Physics}, 27(2):18--22, 1987",
}

@Article{int:Angier1,
  author =       "N. Angier",
  title =        "Folding the perfect corner",
  journal =      "Time Magazin",
  volume =       "124",
  year =         "1984",
  month =        "December 3,",
  pages =        "55",
}

@TechReport{int:Anstreicher1,
  author =       "K. M. Anstreicher",
  title =        "Analysis of a modified {Karmarkar}'s algorithm for
                 linear programming",
  type =         "{Technical Report}",
  number =       "B\#84",
  year =         "1985",
  month =        aug,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher2,
  author =       "K. M. Anstreicher",
  title =        "Analysis of {Karmarkar}'s algorithm for fractional
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  month =        nov,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@Article{int:Anstreicher3,
  author =       "K. M. Anstreicher",
  title =        "A monotonic projective algorithm for fractional
                 linear programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "483--498",
}

@Article{int:Anstreicher4,
  author =       "K. M. Anstreicher",
  title =        "A strengthened acceptance criterion for approximate
                 projections in {Karmarkar}'s algorithm",
  journal =      "Operations Research Letters",
  volume =       "5",
  year =         "1986",
  pages =        "211--214",
}

@TechReport{int:Anstreicher5,
  author =       "K. M. Anstreicher",
  title =        "On the complexity of the projective algorithm for
                 standard form linear programming",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@InCollection{int:Anstreicher6,
  author =       "K. M. Anstreicher",
  title =        "Dual ellipsoids and degeneracy in the projective
                 algorithm for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "141--149",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Anstreicher7,
  author =       "K. M. Anstreicher",
  title =        "Linear programming and the {Newton} barrier flow",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "367--373",
}

@Article{int:Anstreicher8,
  author =       "K. M. Anstreicher",
  title =        "On the performance of {Karmarkar}'s algorithm over a
                 sequence of iterations",
  journal =      "SIAM Journal on Computing",
  volume =       "1",
  number =       "1",
  year =         "1991",
  pages =        "22--29",
}

@Article{int:Anstreicher9,
  author =       "K. M. Anstreicher",
  title =        "The worst--case step in {Karmarkar}'s algorithm",
  journal =      "Mathematics of Operations Research",
  volume =       "14",
  year =         "1989",
  pages =        "294--302",
}

@Article{int:Anstreicher10,
  author =       "K. M. Anstreicher",
  title =        "Progress in interior point algorithms since 1984",
  journal =      "SIAM News",
  volume =       "22",
  year =         "1989",
  month =        mar,
  pages =        "12--14",
}

@TechReport{int:Anstreicher11,
  author =       "K. M. Anstreicher",
  title =        "A combined phase~{I} -- phase~{II} scaled potential
                 algorithm for linear programming",
  type =         "CORE Discussion Paper",
  number =       "8939",
  year =         "1989",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B-1348~Louvain-la-Neuve, Belgium",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@Article{int:Anstreicher12,
  author =       "K. M. Anstreicher",
  title =        "A standard form variant and safeguarded linesearch
                 for the modified {Karmarkar} algorithm",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "337--351",
}

@TechReport{int:Anstreicher13,
  author =       "K. M. Anstreicher and R. A. Bosch",
  title =        "Long steps in a ${O(n^{3}L)}$ algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher14,
  author =       "K. M. Anstreicher and P. Watteyne",
  title =        "A family of search directions for {Karmarkar}'s
                 algorithm",
  type =         "CORE Discussion Paper",
  number =       "9030",
  year =         "1990",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B-1348~Louvain-la-Neuve, Belgium",
}

@TechReport{int:Anstreicher15,
  author =       "K. M. Anstreicher and {D. den} Hertog and C. Roos and
                 T. Terlaky",
  title =        "A long step barrier method for convex quadratic
                 programming",
  type =         "{Technical Report}",
  number =       "90--53",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Anstreicher16,
  author =       "K. M. Anstreicher",
  title =        "Strict monotonicity and improved complexity in the
                 standard form projective algorithm for linear
                 programming",
  type =         "CORE Discussion Paper",
  number =       "9035",
  year =         "1990",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B-1348~Louvain-la-Neuve, Belgium",
}

@Article{int:Anstreicher17,
  author =       "K. M. Anstreicher",
  title =        "On monotonicity in the scaled potential algorithm for
                 linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "223--232",
}

@Article{int:Anstreicher18,
  author =       "K. M. Anstreicher",
  title =        "A combined phase~{I} -- phase~{II} projective
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "209--223",
}

@TechReport{int:Anstreicher19,
  author =       "K. M. Anstreicher",
  title =        "On long step path following and {SUMT} for linear and
                 quadratic programming",
  type =         "{Technical Report}",
  year =         "1990",
  month =        aug,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher20,
  author =       "K. M. Anstreicher",
  title =        "On interior algorithms for linear programming with no
                 regularity assumptions",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher21,
  author =       "K. M. Anstreicher and R. A. Bosch",
  title =        "On partial updating in a potential reduction linear
                 programming algorithm of {Kojima, Mizuno and Yoshise}",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher22,
  author =       "K. M. Anstreicher",
  title =        "Recent developments in algorithms for linear
                 programming",
  type =         "{Talk held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher23,
  author =       "K. M. Anstreicher",
  title =        "Advances in interior point methods for linear
                 programming",
  type =         "{Tutorial held at the ORSA/TIMS Joint National
                 Meeting in Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Armacost1,
  author =       "A. Armacost and S. Mehrotra",
  title =        "A computational comparison of the network simplex
                 method with the dual affine scaling method",
  journal =      "Journal of the Operational Research Society of India
                 (Opsearch)",
  volume =       "28",
  number =       "1",
  year =         "1991",
  pages =        "18--35",
}

@TechReport{int:Aronson1,
  author =       "J. Aronson and R. Barr and R. Helgason and J.
                 Kennington and A. Loh and H. Zaki",
  title =        "The projective transformation algorithm by
                 {Karmarkar}~: {A} computational experiment with
                 assignment problems",
  type =         "{Technical Report}",
  number =       "85--OR--3",
  year =         "1985",
  month =        aug,
  institution =  "Dept.\ of Operations Research, Southern Methodist
                 University",
  address =      "Dallas, TX~75275, USA",
}

@TechReport{int:Aronson2,
  author =       "J. Aronson and R. Barr and R. Helgason and J.
                 Kennington and A. Loh and H. Zaki",
  title =        "A specialization of {Karmarkar}'s algorithm to solve
                 network problems",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of Operations Research, Southern Methodist
                 University",
  address =      "Dallas, TX~75275, USA",
}

@TechReport{int:Asic1,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Behavior of {Karmarkar}'s method on degenerate
                 problems",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematics, Michigan State University",
  address =      "East Lansing, MI~48824, USA",
}

@Article{int:Asic2,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asymptotic behavior of {Karmarkar}'s method for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "173--190",
}

@TechReport{int:Asic3,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asymptotic behavior and numerical stability of
                 {Karmarkar}'s method for linear programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "University of Belgrade",
  address =      "Belgrade, Yugoslavia",
}

@Article{int:Asic4,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic",
  title =        "An interior semi--infinite programming method",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "59",
  year =         "1988",
  pages =        "369--390",
}

@InCollection{int:Asic5,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "A note on limiting behavior of the projective and the
                 affine rescaling algorithms",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "151--157",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@InCollection{int:Asic6,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Karmarkar algoritam~: {Analiza} numericke stabilnosti
                 i neke modifikacije",
  booktitle =    "Proceedings of the 12th Yugoslav Symposium on
                 Operations Research, Herceg--Novi, Yugoslavia, October
                 1985",
  year =         "1985",
  pages =        "33--41",
  note =         "(In Yugoslav)",
}

@InCollection{int:Asic7,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asimptotsko ponasanje {Karmarkarove} metode",
  booktitle =    "Proceedings of the 13th Yugoslav Symposium on
                 Operations Research, Herceg--Novi, Yugoslavia, October
                 1986",
  year =         "1986",
  pages =        "81--88",
  note =         "(In Yugoslav)",
}

@Misc{int:At1,
  key =          "AT and T Bell Laboratories",
  title =        "{The {AT~\&~T KORBX} Linear Programming System,
                 AT~\&~T Bell Laboratories, Holmdel, NJ~07733, USA}",
  year =         "1988",
  address =      "Holmdel, NJ~07733, USA",
  note =         "Introduced at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA, October 1988",
}

@MastersThesis{int:Bach1,
  author =       "R. Bach",
  title =        "{{\"U}ber die Effizienz eines polynomialen Verfahrens
                 zur L{\"o}sung von linearen Optimierungsproblemen.
                 (About the efficiency of a polynomial method for
                 solving linear programming problems)}",
  year =         "1990",
  month =        dec,
  school =       "{Fachbereich Wirtschaftswissenschaften und Operations
                 Research, FernUniversit{\"a}t Hagen}",
  address =      "P. O. Box 940, D-5800 Hagen, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:52:31 1995",
}

@TechReport{int:Bagchi1,
  author =       "A. Bagchi and B. Kalantari",
  title =        "A method for computing approximate solution of the
                 trust region problem with application to projective
                 methods for quadratic programming",
  type =         "{Working Paper}",
  year =         "1988",
  institution =  "Dept.\ of Computer Science, Rutgers University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Ballintijn1,
  author =       "C. Ballintijn",
  title =        "Implementation aspects and performance results of the
                 dual--affine algorithm",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Shell Research Center (KSLA)",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Barle1,
  author =       "J. Barle and J. Grad",
  title =        "The implementation of {Karmarkar}'s algorithm using
                 electronic spreadsheet",
  type =         "{Talk held at the DGOR--Jahrestagung in Berlin,
                 Germany}",
  year =         "1988",
  month =        sep,
  institution =  "Ekonomska Fakulteta Borisa Kidrica, University of
                 Ljubljana",
  address =      "YU-61109~Ljubljana, Yugoslavia",
  bibdate =      "Sat Dec 30 09:52:35 1995",
}

@TechReport{int:Barle2,
  author =       "J. Barle and J. Grad",
  title =        "The implementations of interior point methods for
                 solving {LP on PC}",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Ekonomska Fakulteta Borisa Kidrica, University of
                 Ljubljana",
  address =      "YU-61109~Ljubljana, Yugoslavia",
}

@Article{int:Barnes1,
  author =       "E. R. Barnes",
  title =        "A variation on {Karmarkar}'s algorithm for solving
                 linear programming problems",
  journal =      "Mathematical Programming",
  volume =       "36",
  year =         "1986",
  pages =        "174--182",
}

@TechReport{int:Barnes2,
  author =       "E. R. Barnes",
  title =        "A sparse matrix version of {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes3,
  author =       "E. R. Barnes",
  title =        "A polynomial--time version of the affine scaling
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes4,
  author =       "E. R. Barnes",
  title =        "The role of centering in interior point methods",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes5,
  author =       "E. R. Barnes",
  title =        "Phase--{I} procedures for interior point problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes6,
  author =       "E. R. Barnes",
  title =        "Numerical techniques for interior point methods",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322-0205, USA",
}

@TechReport{int:Barnes7,
  author =       "E. R. Barnes",
  title =        "Computing centers and minimum covering ellipsoids for
                 polytopes",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322-0205, USA",
}

@TechReport{int:Barnes8,
  author =       "E. R. Barnes and D. J. Jensen",
  title =        "Affine--scaling algorithms for linear programming
                 with centering steps",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes9,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "Polynomial--time convergence of the affine scaling
                 algorithm with centering",
  type =         "{Talk held at the Conference on Progress in
                 Mathematical Programming, Asimolar Conference Center,
                 Pacific Grove, CA, USA}",
  year =         "1987",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes10,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "The affine scaling method with centering",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes11,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "A polynomial--time version of the affine--scaling
                 algorithm",
  type =         "{Working Paper Series}",
  number =       "88--101",
  year =         "1988",
  institution =  "Graduate School of Business and Administration, New
                 York University",
  address =      "New York, NY~10006, USA",
}

@TechReport{int:Barnes12,
  author =       "E. R. Barnes and A. Moretti",
  title =        "On the convergence of the affine scaling algorithm",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30332-0205, USA",
}

@InCollection{int:Barnes13,
  author =       "E. R. Barnes",
  title =        "Some results concerning convergence of the affine
                 scaling algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "131--139",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Barnes14,
  author =       "E. R. Barnes",
  title =        "Minimum containing ellipsoids and regular polyhedra",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "2--6",
}

@TechReport{int:Barutt1,
  author =       "J. F. Barutt and J. A. Ludvijsen and E. M. Olsen",
  title =        "Using the interior point method for solving large
                 scale crew scheduling problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Northwest Airlines F-7140, MSP International
                 Airport",
  address =      "St.~Paul, MN~55111, USA",
}

@Article{int:Bayer1,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "Karmarkar's linear programming algorithm and
                 {Newton}'s method",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "291--330",
}

@Article{int:Bayer2,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~I~: A}ffine and projective scaling trajectories",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "314",
  number =       "2",
  year =         "1989",
  pages =        "499--526",
}

@Article{int:Bayer3,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~II}~: {Legendre} transform coordinates",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "314",
  number =       "2",
  year =         "1989",
  pages =        "527--581",
}

@Misc{int:Bayer4,
  author =       "D. A. Bayer and N. K. Karmarkar and J. C. Lagarias",
  title =        "Methods and apparatus for optimization system
                 operational parameters",
  howpublished = "U.~S.~Patent No.~4.744.027",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@InBook{int:Bazaraa1,
  author =       "M. S. Bazaraa and J. J. Jarvis and H. F. Sherali",
  title =        "Linear Programming and Network Flows",
  chapter =      "8.4~: {Karmarkar}'s projective algorithm, pages
                 380--394, chapter 8.5~: {Analysis} of {Karmarkar}'s
                 algorithm",
  year =         "1990",
  pages =        "394--418",
  publisher =    "John Wiley \& Sons",
  address =      "New York, NY, USA",
  edition =      "second",
}

@InBook{int:Beisel1,
  author =       "E. P. Beisel and M. Mendel",
  title =        "{Optimierungsmethoden des Operations Research, Band
                 1~% (Optimization Methods of Operations Research,
                 Vol.~1)}",
  chapter =      "11~: {Die Projektionsmethode von Karmarkar~(The
                 projection method of Karmarkar)}",
  pages =        "169--187",
  publisher =    "Vieweg Verlag",
  address =      "Braunschweig, Germany",
  year =         "1987",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:51:00 1995",
}

@TechReport{int:BenDaya1,
  author =       "M. {Ben--Daya} and C. M. Shetty",
  title =        "Polynomial barrier function algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "J~88--4",
  year =         "1988",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322-0205, USA",
}

@Article{int:BenDaya2,
  author =       "M. {Ben--Daya} and C. M. Shetty",
  title =        "Polynomial barrier function algorithm for convex
                 quadratic programming",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "657--670",
}

@TechReport{int:Benjamin1,
  author =       "J. Benjamin and M. Dialsy",
  title =        "Some applications of the primal--dual interior point
                 algorithm using {GAUSS} programming language",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Economics Department, North Carolina A~\&~T State
                 University",
  address =      "Greensboro, NC~27411, USA",
}

@Article{int:Bertsekas1,
  author =       "D. P. Bertsekas",
  title =        "Projected {Newton} methods for optimization problems
                 with simple constraints",
  journal =      "SIAM Journal on Control and Optimization",
  volume =       "20",
  year =         "1982",
  pages =        "221--246",
}

@TechReport{int:Betke1,
  author =       "U. Betke and P. Gritzmann",
  title =        "Projection algorithms for linear programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "University of Siegen",
  address =      "H{\"o}lderlinstr.~3, D-5900~Siegen, Germany",
  bibdate =      "Sat Dec 30 09:52:39 1995",
}

@TechReport{int:Birge1,
  author =       "J. R. Birge and L. Qi",
  title =        "Solving stochastic linear programs via a variant of
                 {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  number =       "85--12",
  year =         "1985",
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@Article{int:Birge2,
  author =       "J. R. Birge and L. Qi",
  title =        "Computing block--angular {Karmarkar} projections with
                 applications to stochastic programming",
  journal =      "Management Science",
  volume =       "34",
  year =         "1988",
  pages =        "1472--1479",
}

@TechReport{int:Birge3,
  author =       "J. R. Birge and R. M. Freund",
  title =        "Prior reduced fill-in in solving equations in
                 interior point algorithm",
  type =         "{Working Paper}",
  number =       "OR~3186--90--MS",
  year =         "1990",
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
  bibdate =      "Sat May  4 17:22:15 1996",
}

@TechReport{int:Birge4,
  author =       "J. R. Birge and C. Rosa",
  title =        "A simplified proof of the general convergence of
                 affine scaling",
  type =         "{Technical Report}",
  number =       "91--7",
  year =         "1991",
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@TechReport{int:Birge5,
  author =       "J. R. Birge and D. Holmes",
  title =        "Using interior point methods for stochastic linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@TechReport{int:Bixby1,
  author =       "R. E. Bixby and J. W. Gregory and I. J. Lustig and R.
                 E. Marsten and D. F. Shanno",
  title =        "Very large--scale linear programming~: {A} case study
                 in combining interior point and simplex methods",
  type =         "{Technical Report}",
  number =       "J--91--07",
  year =         "1991",
  month =        may,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30332, USA",
  note =         "Technical Report SOR~91--08, School of Engineering
                 and Applied Science, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA, May 1991. Technical Report RRR~34--91,
                 RUTCOR Center of Operations Research, Rutgers
                 University, New Brunswick, NJ~08903, USA, 1991",
}

@Article{int:Blair1,
  author =       "C. E. Blair",
  title =        "The iterative step in the linear programming
                 algorithm of {N. Karmarkar}",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "537--539",
}

@TechReport{int:Blair2,
  author =       "C. E. Blair",
  title =        "{Karmarkar}'s algorithm and the simplex algorithm",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "College of Commerce and Business Administration,
                 University of Illinois at Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
}

@InCollection{int:Bloch1,
  author =       "A. M. Bloch",
  title =        "Steepest descent, linear programming, and
                 {Hamiltonian} flows",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "77--88",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Blum1,
  author =       "L. Blum",
  title =        "Towards an asymptotic analysis of {Karmarkar}'s
                 algorithm",
  journal =      "Information Processing Letters",
  volume =       "23",
  year =         "1986",
  pages =        "189--194",
}

@Article{int:Blum2,
  author =       "L. Blum",
  title =        "A new simple homotopy algorithm for linear
                 programming {I}",
  journal =      "Journal of Complexity",
  volume =       "4",
  year =         "1988",
  pages =        "124--136",
}

@TechReport{int:Boggs1,
  author =       "P. T. Boggs and P. D. Domich and C. Witzgall",
  title =        "On center trajectories for linear programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Center for
                 Applied Mathematics",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Boggs2,
  author =       "P. T. Boggs and P. D. Domich and J. R. Donaldson and
                 C. Witzgall",
  title =        "Algorithmic enhancements to the method of center for
                 linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "159--171",
}

@TechReport{int:Boggs3,
  author =       "P. T. Boggs",
  title =        "Higher--order methods for large linear and quadratic
                 programming problems",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Center for
                 Applied Mathematics",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Boggs4,
  author =       "P. T. Boggs",
  title =        "Comparing algorithms is not an easy task",
  journal =      "SIAM News",
  volume =       "19",
  number =       "1",
  year =         "1986",
  pages =        "7",
}

@Article{int:Boggs5,
  author =       "P. T. Boggs and P. D. Domich and J. E. Rogers and C.
                 Witzgall",
  title =        "An interior--point method for linear and quadratic
                 programming problems",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "32--40",
}

@TechReport{int:Borchers1,
  author =       "B. Borchers and J. E. Mitchell",
  title =        "Using an interior point method in a branch and bound
                 algorithm for integer programming",
  type =         "{RPI Mathematical Report}",
  number =       "195",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180-3590, USA",
}

@TechReport{int:Bosch1,
  author =       "R. Bosch and K. M. Anstreicher",
  title =        "A partial updating algorithm for linear programs with
                 many variables and few constraints",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Mathematics, Oberlin College",
  address =      "Oberlin, OH~44074, USA",
}

@Book{int:Box1,
  author =       "M. J. Box and D. Davies and W. H. Swann",
  title =        "Nonlinear Optimization Technique",
  year =         "1969",
  series =       "ICI Monograph of Mathematics and Statistics",
  volume =       "5",
  publisher =    "Oliver and Boyd Ltd.",
  address =      "London, UK",
}

@Article{int:Bregman1,
  author =       "L. M. Bregman",
  title =        "A polynomial--time simplex type method for solving
                 linear systems of inequalities",
  journal =      "Kibernetika (Kiev)",
  volume =       "26",
  number =       "1",
  year =         "1990",
  pages =        "84--87",
  note =         "Translated in~: {\em Cybernetics (USA)},
                 26(1):106--110, 1990",
}

@Article{int:Brophy1,
  author =       "J. F. Brophy and P. W. Smith",
  title =        "Prototyping {Karmarkar}'s algorithm using
                 {MATH/PROTRAN}",
  journal =      "International Mathematical and Statistical Libraries
                 (IMSL) Directions",
  volume =       "5",
  year =         "1988",
  pages =        "2--3",
}

@InCollection{int:Brown1,
  author =       "G. W. Brown and T. C. Koopmans",
  title =        "Computational suggestions for maximizing a linear
                 function subject to linear inequalities",
  booktitle =    "Activity Analysis of Production and Allocation",
  publisher =    "John Wiley \& Sons",
  address =      "New York, NY, USA",
  editor =       "T. C. Koopmans",
  year =         "1951",
  pages =        "377--380",
}

@TechReport{int:Brown2,
  author =       "G. G. Brown and R. D. McBride and K. R. Wood",
  title =        "Computational methods in the projective linear
                 programming algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "Dept.\ of Operations Research, Naval Postgraduate
                 School",
  address =      "Monterey, CA~93943, USA",
}

@Article{int:Carolan1,
  author =       "W. Carolan and J. Hill and J. Kennington and S. Niemi
                 and S. Wichmann",
  title =        "An empirical evaluation of the {KORBX} algorithms for
                 military airlift applications",
  journal =      "Operations Research",
  volume =       "38",
  year =         "1990",
  pages =        "240--248",
}

@Article{int:Caroll1,
  author =       "C. W. Caroll",
  title =        "The created response surface technique for optimizing
                 nonlinear restrained systems",
  journal =      "Operations Research",
  volume =       "9",
  number =       "2",
  year =         "1961",
  pages =        "169--184",
}

@TechReport{int:Carpenter1,
  author =       "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
                 D. F. Shanno",
  title =        "A primal--dual interior point method for convex
                 separable nonlinear programs",
  type =         "{RUTCOR Research Report}",
  number =       "RRR~25--90",
  year =         "1990",
  month =        may,
  institution =  "RUTCOR -- Rutgers Center for Operations Research,
                 Hill Center for Mathematical Sciences",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "Technical Report SOR~90--02, School of Engineering
                 and Applied Science, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA, 1990",
}

@TechReport{int:Carpenter2,
  author =       "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
                 D. F. Shanno",
  title =        "Higher order predictor--corrector interior point
                 methods with application to quadratic objectives",
  type =         "{RUTCOR Research Report}",
  number =       "RRR~67--90",
  year =         "1990",
  institution =  "RUTCOR -- Rutgers Center for Operations Research,
                 Hill Center for Mathematical Sciences",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "Technical Report SOR~90--09, School of Engineering
                 and Applied Science, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA, November 1990",
}

@TechReport{int:Cavalier1,
  author =       "T. M. Cavalier and T. C. Schall",
  title =        "Implementing a projective algorithm for solving
                 inequality constrained linear programs",
  type =         "{IMSE Working Paper}",
  number =       "86--128",
  year =         "1986",
  institution =  "Dept.\ of Industrial and Management Systems
                 Engineering, Pennsylvania State University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Cavalier2,
  author =       "T. M. Cavalier and T. C. Schall",
  title =        "Implementing an affine scaling algorithm for linear
                 programming",
  journal =      "Computers and Operations Research",
  volume =       "14",
  year =         "1987",
  pages =        "341--347",
}

@TechReport{int:Cavalier3,
  author =       "T. M. Cavalier and A. L. Soyster",
  title =        "Some computational experience and a modification of
                 the {Karmarkar} algorithm",
  type =         "{Working Paper}",
  number =       "85--105",
  year =         "1985",
  institution =  "Dept.\ of Industrial and Management Systems
                 Engineering, Pennsylvania State University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Censor1,
  author =       "Y. Censor and A. Lunt",
  title =        "Optimization on `$log~x$' entropy over linear
                 inequality constraints",
  journal =      "SIAM Journal on Control and Optimization",
  volume =       "25",
  year =         "1987",
  pages =        "921--933",
}

@TechReport{int:Chandru1,
  author =       "V. Chandru and B. Kochar",
  title =        "A class of algorithms for linear programming",
  type =         "{Research Memorandum}",
  number =       "85--14",
  year =         "1985",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
  note =         "Revised 1986",
}

@TechReport{int:Chandru2,
  author =       "V. Chandru and B. Kochar",
  title =        "Exploiting special structures using a variant of
                 {Karmarkar}'s algorithm",
  type =         "{Research Memorandum}",
  number =       "86--10",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Chandru3,
  author =       "V. Chandru",
  title =        "Notes on {Karmarkar}'s new algorithm for linear
                 programming",
  type =         "{Unpublished Memorandum}",
  year =         "1984",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@Article{int:Chang1,
  author =       "S. Y. Chang and K. G. Murty",
  title =        "The steepest descent gravitational method for linear
                 programming",
  journal =      "Discrete Applied Mathematics",
  volume =       "25",
  year =         "1989",
  pages =        "211--239",
}

@TechReport{int:Charnes1,
  author =       "A. Charnes and T. Song and M. Wolfe",
  title =        "An explicit solution sequence and convergence of
                 {Karmarkar}'s algorithm",
  type =         "{Research Report}",
  number =       "CCS~501",
  year =         "1984",
  institution =  "Center for Cybernetic Studies, University of Texas",
  address =      "Austin, TX~78712-1177, USA",
}

@TechReport{int:Chen1,
  author =       "S. Chen",
  title =        "Computational experience with the {Karmarkar}
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Chen2,
  author =       "S. Chen and D. N. Lee",
  title =        "Supercomputers and an efficient implementation of
                 {Karmarkar}'s algorithm",
  type =         "{Talk held at the SIAM National Meeting on Numerical
                 Analysis in Denver, CO, USA}",
  year =         "1987",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Cheng1,
  author =       "Y. C. Cheng and K. T. Medhi",
  title =        "The {AT~\&~T KORBX Linear Programming System}~:
                 {Preconditioned} conjugate gradient implementation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Cheng2,
  author =       "Y. C. Cheng and J. M. Liu and M. Meketon and P. Wang
                 and R. Vanderbei and L. Slutsman",
  title =        "Linear programming algorithms implemented on the
                 {AT~\&~T KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Cheng3,
  author =       "Y. C. Cheng and D. J. Houck and E. Housos and C.
                 Huang and M. S. Meketon and L. Slutsman and R.
                 Vanderbei and P. Wang",
  title =        "The {AT~\&~T~KORBX Linear Programming System}~:
                 {System} architecture and performance",
  type =         "{Talk held at the 13th International Symposium on
                 Mathematical Programming in Tokyo, Japan}",
  year =         "1988",
  month =        aug,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Cheng4,
  author =       "Y. C. Cheng and D. J. Houck and J. M. Liu and M. S.
                 Meketon and L. Slutsman and R. J. Vanderbei and P.
                 Wang",
  title =        "The {AT~\&~T~KORBX System}",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "7--19",
}

@TechReport{int:Chifflet1,
  author =       "M. J. Chifflet and A. Lisser and D. Tachat and P.
                 Tolla",
  title =        "Computing block--angular {Karmarkar} projections with
                 applications to multicommodity flow problems",
  type =         "{Talk held at the 12th Triennial Conference on
                 Operations Research in Athens, Greece}",
  year =         "1990",
  month =        jun,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@Article{int:Chiment1,
  author =       "J. J. Chiment",
  title =        "Complexity issues for numerical optimization",
  journal =      "SIAM News",
  volume =       "24",
  number =       "3",
  year =         "1991",
  month =        may,
  pages =        "24--25",
}

@TechReport{int:Chiu1,
  author =       "S. S. Chiu and Y. Ye",
  title =        "Recovering the shadow price in projection methods for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Engineering Economic Systems Department, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Chiu2,
  author =       "S. S. Chiu and Y. Ye",
  title =        "Simplex method and {Karmarkar}'s algorithm~: {A}
                 unifying structure",
  type =         "{Technical Report}",
  year =         "1985/86",
  institution =  "Engineering Economic Systems Department, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Choi1,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Interior point methods for solving structured linear
                 programs using parallel computation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Choi2,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Detecting optimal basic and nonbasic variables prior
                 to optimality in interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Choi3,
  author =       "I. C. Choi and C. L. Monma and D. F. Shanno",
  title =        "Computational experience with a primal--dual interior
                 point method for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Choi4,
  author =       "I. C. Choi and C. L. Monma and D. F. Shanno",
  title =        "Further development of a primal--dual interior point
                 method",
  journal =      "ORSA Journal on Computing",
  volume =       "2",
  year =         "1990",
  pages =        "304--311",
}

@InCollection{int:Choi5,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Solving multicommodity network flow problems by an
                 interior point method",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "58--69",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Christiansen1,
  author =       "E. Christiansen and K. O. Kortanek",
  title =        "Computing material collapse displacement fields on a
                 {Cray~X--MP/48} by the {LP} primal affine scaling
                 algorithm",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "355--376",
}

@Article{int:Christiansen2,
  author =       "E. Christiansen and K. O. Kortanek",
  title =        "Computation of the collapse state in limit analysis
                 using the {LP} primal affine scaling algorithm",
  journal =      "Journal of Computational and Applied Mathematics",
  volume =       "34",
  year =         "1991",
  pages =        "47--63",
}

@Article{int:Chu1,
  author =       "S. C. K. Chu",
  title =        "On the existence of positive non--extreme point
                 solutions of linear programming",
  journal =      "International Journal of Mathematical Education in
                 Science and Technology",
  volume =       "21",
  year =         "1990",
  pages =        "99--103",
}

@Article{int:Clark1,
  author =       "C. E. Clark and J. L. Strand",
  title =        "Application of the {Karmarkar} algorithm and expert
                 system technology to transmission network planning",
  journal =      "GLOBECOM Tokyo~'87~: Conference Record of the
                 IEEE/IEICE Global Telecommunications Conference in
                 Tokyo",
  volume =       "2",
  year =         "1987",
  pages =        "270",
}

@Book{int:Clausen1,
  author =       "J. Clausen and F. A. {Al--Khayyal}",
  title =        "Interior Point Methods",
  year =         "1991",
  month =        aug,
  series =       "COAL Newsletter",
  volume =       "19",
  publisher =    "Mathematical Programming Society",
}

@TechReport{int:Coleman1,
  author =       "T. Coleman and Y. Li",
  title =        "Quadratic interior point algorithms for piecewise
                 linear problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@Book{int:Coleman2,
  author =       "T. F. Coleman and Y. Li",
  title =        "Large--Scale Optimization, Papers from the Workshop
                 held at Cornell University, Ithaca, {NY}, {USA},
                 October 1989",
  year =         "1990",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Colmenares1,
  author =       "O. Colmenares",
  title =        "Karmarkar's linear programming algorithm~: {Better}
                 or worse than the classical method~?",
  type =         "{Technical Report}",
  year =         "1985",
  month =        jan,
  institution =  "Graduate School of Management, University of
                 California at Los Angeles",
  address =      "Los Angeles, CA, USA",
}

@Article{int:Conway1,
  author =       "R. Conway and M. Magazine",
  title =        "A case against software patents",
  journal =      "OR/MS Today",
  volume =       "18",
  number =       "1",
  year =         "1991",
  month =        feb,
  pages =        "14--15",
}

@InBook{int:Cook1,
  author =       "T. M. Cook and R. A. Russell",
  title =        "Introduction to Management Science",
  chapter =      "4~: {An} alternative to the simplex method ---
                 {Karmarkar}'s algorithm",
  pages =        "137--139",
  publisher =    "Prentice Hall",
  address =      "Englewood Cliffs, NJ~07632, USA",
  edition =      "fourth",
  year =         "1989",
}

@Article{int:Cremonese1,
  author =       "P. Cremonese",
  title =        "Programmazione lineare e algoritmo proiettivo.
                 {Implementazione}, experienze, relazione col simplesso
                 {(Linear Programming and Projective Algorithm.
                 Implementation, experiences, Simplex Relation)}",
  journal =      "Ricerca Operativa (Italy)",
  volume =       "18",
  year =         "1988",
  pages =        "73--102",
  note =         "(In Italian)",
}

@TechReport{int:Dantzig1,
  author =       "G. B. Dantzig and Y. Ye",
  title =        "A build--up interior method for linear programming~:
                 {Affine} scaling form",
  type =         "{Technical Report}",
  number =       "SOL~90--4",
  year =         "1990",
  month =        feb,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Dantzig2,
  author =       "G. B. Dantzig and D. Goldfarb and E. Lawler and C.
                 Monma and S. M. Robinson",
  title =        "Report of the {Committee on Algorithms and the Law}",
  journal =      "Optima (The Mathematical Programming Society
                 Newsletter)",
  volume =       "33",
  year =         "1991",
  month =        jun,
  pages =        "2--19",
  note =         "Containing~: B.~Kahin, The case against {"software
                 patents"}, Appendix~A, pages 5--13, and The League for
                 Programming Freedom, Against software patents,
                 Appendix~B, pages 14--19",
}

@TechReport{int:Dantzig3,
  author =       "G. B. Dantzig and Y. Ye",
  title =        "A build--up interior method for linear programming~:
                 {Affine} scaling form",
  type =         "{Technical Report}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Dantzig4,
  author =       "G. B. Dantzig",
  title =        "Dikin's interior method for {LP}",
  type =         "{Manuscript}",
  year =         "1988",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Dantzig5,
  author =       "G. B. Dantzig and D. Goldfarb and E. Lawler and C.
                 Monma and S. M. Robinson",
  title =        "Report of the {MPS Committee on Algorithms and the
                 Law}",
  journal =      "SIAM News",
  volume =       "24",
  number =       "6",
  year =         "1991",
  month =        nov,
  pages =        "3, 18",
}

@Article{int:David1,
  author =       "{David~II Report}",
  title =        "Renewing {U.S.} mathematics --- {A} plan for the
                 1990s, {Section}~24~: {Interior} point methods for
                 linear programming",
  journal =      "Notices of the American Mathematical Society",
  volume =       "37",
  number =       "8",
  year =         "1990",
  month =        oct,
  pages =        "984--1004, esp.\ 1001--1002",
  bibdate =      "Mon Sep 30 17:34:54 1996",
}

@Article{int:Dennis1,
  author =       "J. Dennis and A. M. Morshedi and K. Turner",
  title =        "A variable metric variant of the {Karmarkar}
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "1--20",
}

@InProceedings{int:Derigs1,
  author =       "U. Derigs",
  title =        "{Neuere Ans{\"a}tze in der Linearen
                 Optimierung---Motivation, Konzepte und
                 Verfahren~(Recent results in linear
                 programming---motivation, concepts and methods)}",
  booktitle =    "Operations Research Proceedings 1985",
  editor =       "L. Streitfeldt and H. Hauptmann and A. W. Marusev and
                 D. Ohse and U. Pape",
  year =         "1986",
  pages =        "47--58",
  address =      "Springer-Verlag, Berlin, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:52:42 1995",
}

@Article{int:Diao1,
  author =       "Z. Y. Diao",
  title =        "Karmarkar's algorithm and its modification",
  journal =      "Chinese Journal on Operations Research",
  volume =       "7",
  number =       "1",
  year =         "1988",
  pages =        "73--75",
}

@Article{int:Diao2,
  author =       "Z. Y. Diao",
  title =        "A remark on {Karmarkar}'s algorithm",
  journal =      "Chinese Journal on Operations Research",
  volume =       "7",
  number =       "2",
  year =         "1988",
  pages =        "61--62",
}

@Article{int:Didderich1,
  author =       "G. T. Didderich",
  title =        "Some remarks on {Karmarkar}'s potential function",
  journal =      "Aequationes Mathematicae",
  volume =       "36",
  year =         "1988",
  pages =        "57--75",
}

@Article{int:Dikin1,
  author =       "I. I. Dikin",
  title =        "Iterative solution of problems of linear and
                 quadratic programming",
  journal =      "Doklady Akademii Nauk SSSR",
  volume =       "174",
  year =         "1967",
  pages =        "747--748",
  note =         "Translated in~: {\em Soviet Mathematics Doklady},
                 8:674--675, 1967",
}

@Article{int:Dikin2,
  author =       "I. I. Dikin",
  title =        "On the convergence of an iterative process",
  journal =      "Upravlyaemye Sistemi",
  volume =       "12",
  year =         "1974",
  pages =        "54--60",
  note =         "(In Russian)",
}

@Article{int:Dikin3,
  author =       "I. I. Dikin",
  title =        "Letter to the editor",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "393--394",
}

@Article{int:Ding1,
  author =       "J. Ding and T. Y. Li",
  title =        "An algorithm based on weighted logarithmic barrier
                 functions for linear complementarity problems",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "769--685",
}

@Article{int:Ding2,
  author =       "J. Ding and T. Y. Li",
  title =        "A polynomial--time predictor--corrector algorithm for
                 a class of linear complementarity problems",
  journal =      "SIAM Journal on Computing",
  volume =       "1",
  number =       "1",
  year =         "1991",
  pages =        "83--92",
}

@TechReport{int:Dinn1,
  author =       "J. Dinn",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematics, Michigan State University",
  address =      "East Lansing, MI~48824, USA",
}

@Article{int:Dinn2,
  author =       "N. F. Dinn and N. K. Karmarkar and L. P. Sinha",
  title =        "Karmarkar algorithm enables interactive planning of
                 networks",
  journal =      "Record AT~\&~T~Bell Laboratories",
  volume =       "64",
  number =       "2",
  year =         "1986",
  pages =        "11--13",
}

@Article{int:Dodani1,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear
                 programming~: {A} computational survey",
  journal =      "Computers and Industrial Engineering",
  volume =       "13",
  year =         "1987",
  pages =        "285--289",
}

@Article{int:Dodani2,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear
                 programming~: {A} computational appraisal",
  journal =      "Computers and Industrial Engineering",
  volume =       "16",
  year =         "1989",
  pages =        "198--206",
}

@Article{int:Dodani3,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear
                 programming~: {A} computational survey",
  journal =      "International Journal of Mathematical Education in
                 Science and Technology",
  volume =       "21",
  year =         "1990",
  pages =        "191--212",
}

@Book{int:Dolecki1,
  author =       "S. Dolecki",
  title =        "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  year =         "1989",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:52:45 1995",
}

@TechReport{int:Domich1,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "Optimal 3--dimensional methods for linear
                 programming",
  type =         "{Technical Report}",
  number =       "NISTIR~89--4225",
  year =         "1989",
  month =        dec,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Domich2,
  author =       "P. D. Domich and P. T. Boggs and J. E. Rogers and C.
                 Witzgall",
  title =        "Optimizing over 3--d subspaces in an interior point
                 method",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "315--342",
}

@TechReport{int:Domich3,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "Third order correction methods to the method of
                 centers for linear programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Applied and
                 Computational Mathematics Division",
  address =      "Boulder, CO~80303, USA",
}

@TechReport{int:Domich4,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "An interior point approach for linear and quadratic
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Applied and
                 Computational Mathematics Division",
  address =      "Boulder, CO~80303, USA",
}

@TechReport{int:Doup1,
  author =       "T. Doup and R. Bisseling and L. Loyens",
  title =        "A parallel interior point algorithm for linear
                 programming on a network of 400 transputers",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Shell Research Center (KSLA)",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Dowling1,
  author =       "M. L. Dowling",
  title =        "Comparing the affine and projective vector fields
                 associated with linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Management, University of Georgia",
  address =      "Athens, GA~30602, USA",
  note =         "Submitted to {\em Mathematical Programming}",
}

@Article{int:Du1,
  author =       "D. Z. Du and F. Wu and X. S. Zhang",
  title =        "Why is the objective function nonlinearized in the
                 interior point methods for nonlinear programming?",
  journal =      "Mathematics in Practice and Theory",
  volume =       "2",
  year =         "1990",
  pages =        "63--68",
  note =         "(In Chinese)",
}

@Article{int:Duff1,
  author =       "I. S. Duff",
  title =        "The solution of large--scale least--squares problems
                 on supercomputers",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "241--252",
}

@Article{int:Economist1,
  key =          "Economist",
  title =        "Not so simplex",
  journal =      "The Economist",
  year =         "1984",
  month =        "December 1,",
}

@TechReport{int:Edirisinghe1,
  author =       "C. Edirisinghe and W. Ziemba",
  title =        "A boundary point algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Commerce and Business Administration,
                 University of British Columbia",
  address =      "Vancouver, BC~V6T~1Y8, Canada",
}

@TechReport{int:ElBakry1,
  author =       "A. S. El-Bakry and R. A. Tapia and Y. Zhang",
  title =        "A study of indicators for identifying zero variables
                 in interior--point methods",
  type =         "{Technical Report}",
  number =       "TR--91--15",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Emmett1,
  author =       "A. Emmett",
  title =        "Karmarkar's algorithm~: {A} threat to simplex~?",
  journal =      "IEEE Spectrum",
  year =         "1985",
  month =        dec,
  pages =        "54--55",
}

@Article{int:Encheva1,
  author =       "T. J. Encheva",
  title =        "Computational comparisons for the method of centers
                 of gravity of vertices",
  journal =      "Serdica (Bulgaricae Mathematicae Publicationes)",
  volume =       "16",
  number =       "3",
  year =         "1990",
  pages =        "188--193",
}

@TechReport{int:Eriksson1,
  author =       "J. R. Eriksson",
  title =        "Algorithms for entropy and mathematical programming",
  type =         "Link{\"o}ping Studies in Science and Technology
                 Dissertations",
  number =       "63",
  year =         "1981",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S-58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Eriksson2,
  author =       "J. R. Eriksson",
  title =        "An iterative primal--dual algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "LiTH--MAT--R--1985--10",
  year =         "1985",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S-58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Eriksson3,
  author =       "J. R. Eriksson",
  title =        "Using the entropy function to get an interior point
                 method for linear programming",
  type =         "{Technical Report}",
  number =       "LiTH--MAT--R--1990--02",
  year =         "1990",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S-58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Fang1,
  author =       "W. Fang and W. Shi--Quan",
  title =        "New algorithms for linear programming",
  type =         "{Technical Report}",
  year =         "19..(?)",
  institution =  "Institute of Applied Mathematics, Academia Sinica",
  address =      "Beijing, People Republic of China",
}

@TechReport{int:Fang2,
  author =       "S. C. Fang and S. C. Puthenpura and R. Saigal and P.
                 Sinha",
  title =        "Stochastic linear programming via affine scaling and
                 {Kalman}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
}

@TechReport{int:Fang3,
  author =       "S. C. Fang",
  title =        "A new unconstrained convex programming approach to
                 linear programming",
  type =         "{OR Research Report}",
  number =       "243",
  year =         "1990",
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
  note =         "To appear in {\em Zeitschrift f{\"u}r Operations
                 Research---Methods and Models of Operations Research}
                 36(2), 1992",
}

@Article{int:Farrell1,
  author =       "J. J. Farrell",
  title =        "Recent advances in linear programming applied to
                 global defense",
  journal =      "Proceedings of the 27th IEEE Conference on Decision
                 and Control, Austin, TX, USA",
  year =         "1988",
  month =        dec,
  pages =        "242--243",
}

@TechReport{int:Fask1,
  author =       "A. Fask and W. F. Walker",
  title =        "A polynomial--time algorithm for solving
                 transportation problems where the sources are bounded",
  type =         "{Talk held at ORSA/TIMS Joint National Meeting in New
                 Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Farleigh Dickinson University",
  address =      "Madison, NJ~07940, USA",
}

@Article{int:Ferris1,
  author =       "M. C. Ferris and A. B. Philpott",
  title =        "On the performance of {Karmarkar}'s algorithm",
  journal =      "Journal of the Operational Research Society",
  volume =       "39",
  year =         "1988",
  pages =        "257--270",
}

@Article{int:Ferris2,
  author =       "M. C. Ferris and A. B. Philpott",
  title =        "An interior point algorithm for semi--infinite linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "257--276",
}

@InCollection{int:Fiacco1,
  author =       "A. V. Fiacco",
  title =        "Barrier methods in nonlinear programming",
  booktitle =    "Operations Research Support Methodology",
  year =         "1979",
  pages =        "377--440",
  editor =       "A. Holzman",
  publisher =    "Marcel Dekker",
  address =      "New York, NY, USA",
}

@Article{int:Fiacco2,
  author =       "A. V. Fiacco",
  title =        "Perturbed variations of penalty function methods ---
                 example~: {Projective SUMT}",
  journal =      "Annals of Operations Research",
  volume =       "27",
  year =         "1990",
  pages =        "371--380",
}

@Book{int:Fiacco3,
  author =       "A. V. Fiacco and G. P. McCormick",
  title =        "Nonlinear Programming~: Sequential Unconstrained
                 Minimization Techniques",
  publisher =    "John Wiley \& Sons",
  year =         "1968",
  address =      "New York, NY, USA",
  note =         "Reprint : Volume 4 of {\em SIAM Classics in Applied
                 Mathematics}, SIAM Publications, Philadelphia,
                 PA~19104--2688, USA, 1990",
}

@InCollection{int:Fletcher1,
  author =       "R. Fletcher",
  title =        "Recent developments in linear and quadratic
                 programming",
  booktitle =    "The State--of--the--Art in Numerical Analysis",
  publisher =    "Oxford University Press",
  address =      "Oxford, UK",
  editor =       "A. Iserles and M. J. D. Powell",
  year =         "1987",
  pages =        "213--243, esp.~219--224",
}

@InBook{int:Fletcher2,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization",
  chapter =      "8.7~: {Polynomial} time algorithms",
  pages =        "183--188",
  publisher =    "John Wiley~\&~Sons",
  address =      "New York, NY, USA",
  edition =      "second",
  year =         "1987",
}

@Article{int:Forrest1,
  author =       "J. J. H. Forrest and J. A. Tomlin",
  title =        "Vector processing in simplex and interior methods for
                 linear programming",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "71--100",
}

@TechReport{int:Forsgren1,
  author =       "A. L. Forsgren and W. Murray",
  title =        "Newton methods for large--scale linear
                 equality--constrained minimization",
  type =         "{Technical Report}",
  number =       "SOL~90--6",
  year =         "1990",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Fourer1,
  author =       "R. Fourer and S. Mehrotra",
  title =        "Performance of an augmented system approach for
                 solving least--squares problems in an interior--point
                 method for linear programming",
  type =         "{Technical Report (in preparation)}",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Sciences, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Fourer2,
  author =       "R. Fourer and S. Mehrotra",
  title =        "Performance of an augmented system approach for
                 solving least--squares problems in an interior--point
                 method for linear programming",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "26--31",
}

@Article{int:Fraley1,
  author =       "C. Fraley",
  title =        "Linear updates for a single -- phase projective
                 method",
  journal =      "Operations Research Letters",
  volume =       "9",
  year =         "1990",
  pages =        "169--174",
}

@TechReport{int:Fraley2,
  author =       "C. Fraley and J. P. Vial",
  title =        "Single -- phase versus multiple -- phase projective
                 methods for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "COMIN, University of Geneva",
  address =      "2~Rue de Candolle, CH-1211~Geneva~4, Switzerland",
}

@InCollection{int:Fraley3,
  author =       "C. Fraley and J. P. Vial",
  title =        "Numerical study of projective methods for linear
                 programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "25--38",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:52:48 1995",
}

@Article{int:Franklin1,
  author =       "J. Franklin",
  title =        "Convergence in {Karmarkar}'s algorithm for linear
                 programming",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "24",
  year =         "1987",
  pages =        "928--945",
}

@TechReport{int:Freedman1,
  author =       "B. A. Freedman and S. C. Puthenpura and L. P. Sinha",
  title =        "A new affine scaling based algorithm for optimizing
                 convex, nonlinear functions with linear constraints",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Freund1,
  author =       "R. M. Freund",
  title =        "An analogous of {Karmarkar}'s algorithm for
                 inequality constrained linear programs, with a `new'
                 class of projective transformations for centering a
                 polytope",
  journal =      "Operations Research Letters",
  volume =       "7",
  year =         "1988",
  pages =        "9--13",
}

@Article{int:Freund2,
  author =       "R. M. Freund",
  title =        "Polynomial--time algorithms for linear programming
                 based only on primal scaling and projected gradients
                 of a potential function",
  journal =      "Mathematical Programming",
  volume =       "51",
  year =         "1991",
  pages =        "203--222",
}

@TechReport{int:Freund3,
  author =       "R. M. Freund",
  title =        "A generalization/extension of {Karmarkar}'s algorithm
                 for inequality constrained linear programs based on
                 projective centering of the polyhedra",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund4,
  author =       "R. M. Freund",
  title =        "Projective transformations for finding the w--center
                 of a polyhedra",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund5,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point
                 methods, {Part~I~: B}asic theory and linear
                 programming",
  type =         "{Working Paper}",
  number =       "2049--88",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund6,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point
                 methods, {Part~II~: A}nalysis of an algorithm for
                 finding the weighted center of a polyhedral system",
  type =         "{Working Paper}",
  number =       "2050--88",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@Article{int:Freund7,
  author =       "R. M. Freund",
  title =        "Theoretical efficiency of a shifted barrier function
                 algorithm for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "19--41",
}

@TechReport{int:Freund8,
  author =       "R. M. Freund",
  title =        "A potential--function reduction algorithm for solving
                 a linear program directly from an infeasible `warm
                 start'",
  type =         "{Working Paper}",
  number =       "3079--89--MS",
  year =         "1989",
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Freund9,
  author =       "R. M. Freund",
  title =        "Theoretical efficiency of solving a linear program
                 from an infeasible `warm start'",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund10,
  author =       "R. M. Freund",
  title =        "Interior point algorithms for solving a linear
                 program directly from an infeasible `warm start'",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund11,
  author =       "R. M. Freund",
  title =        "Recent results and perspectives on solving linear
                 programming from an infeasible `warm start'",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund12,
  author =       "R. M. Freund",
  title =        "Newton's method for general parametric center
                 problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund13,
  author =       "R. M. Freund and K. C. Tan",
  title =        "A method for the parametric center problem, with a
                 strictly monotone polynomial--time algorithm for
                 linear programming",
  type =         "{Working Paper}",
  number =       "2100--89",
  year =         "1989",
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "Revised April 1990",
}

@TechReport{int:Freund14,
  author =       "R. M. Freund and K. C. Tan",
  title =        "A parametric center algorithm and a strictly
                 monotonic central path algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund15,
  author =       "R. M. Freund and K. C. Tan",
  title =        "Newton's method for parametric center problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund16,
  author =       "R. M. Freund",
  title =        "Interior--point methods for linear programming~: {A}
                 status report",
  type =         "{Tutorial held at the ORSA/TIMS Joint National
                 Meeting in Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund17,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point
                 algorithms, a superlinearly convergent algorithm for
                 the w--center problem",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@TechReport{int:Freund18,
  author =       "R. M. Freund",
  title =        "A combined {phase~I -- phase~II} algorithm for {LP}
                 based on the intuitive geometry of linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Sloan School of Management, Massachusetts Institute
                 of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@Article{int:Fricker1,
  author =       "F. Fricker",
  title =        "{Komplexe Optimierungsaufgaben schneller
                 l{\"o}sen~(Solving complex optimization problems
                 faster)}",
  journal =      "Frankfurter Allgemeine Zeitung, Sektion~: Natur und
                 Wissen",
  year =         "1985",
  month =        "March 27,",
  note =         "(In German)",
}

@TechReport{int:Frisch1,
  author =       "K. R. Frisch",
  title =        "The logarithmic potential method for convex
                 programming",
  type =         "Unpublished manuscript",
  year =         "1955",
  month =        may,
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@Article{int:Frisch2,
  author =       "K. R. Frisch",
  title =        "The multiplex method for linear programming",
  journal =      "Sankhya",
  volume =       "18",
  year =         "1957",
  pages =        "329--362",
}

@TechReport{int:Frisch3,
  author =       "K. R. Frisch",
  title =        "Principles of linear programming---{With} a
                 particular reference to the double gradient form of
                 the logarithmic potential method",
  type =         "Memorandum",
  year =         "1954",
  month =        oct,
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@TechReport{int:Frisch4,
  author =       "K. R. Frisch",
  title =        "Linear dependencies and a mechanized form of the
                 multiplex method for linear programming",
  type =         "Memorandum",
  year =         "1957",
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@Article{int:Fukushima1,
  author =       "M. Fukushima and N. Arai and T. Ibaraki",
  title =        "An interior method for nonlinear minimum cost network
                 flow problems",
  journal =      "Systems and Control (Japan)",
  volume =       "31",
  number =       "11",
  year =         "1987",
  pages =        "837--843",
}

@Article{int:Garcia1,
  author =       "C. B. Garcia and F. J. Gould",
  title =        "An application of homotopy to solving linear
                 programs",
  journal =      "Mathematical Programming",
  volume =       "27",
  year =         "1983",
  pages =        "263--382",
}

@Article{int:Garey1,
  author =       "M. R. Garey and D. M. Gay",
  title =        "Letter from the {AT~\&~T Laboratories}",
  journal =      "Mathematical Programming Society Committee on
                 Algorithms (COAL) Newsletter",
  year =         "1985",
  month =        dec,
}

@InBook{int:Garfunkel1,
  author =       "S. A. Garfunkel and L. A. Steen and J. Malkevitch",
  title =        "For All Practical Purposes~: Introduction to
                 Contemporary Mathematics",
  chapter =      "4~: {Linear} programming~: {An} alternative to the
                 simplex method",
  pages =        "80--83, 362",
  publisher =    "W. H. Freeman and Company",
  address =      "New York, NY, USA",
  year =         "1988",
}

@TechReport{int:Gay1,
  author =       "D. M. Gay",
  title =        "Sparse projections in {Karmarkar}'s linear
                 programming algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Gay2,
  author =       "D. M. Gay",
  title =        "Pictures of {Karmarkar}'s linear programming
                 algorithm",
  type =         "{Computer Science Technical Report}",
  number =       "136",
  year =         "1987",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Gay3,
  author =       "D. M. Gay",
  title =        "A variant of {Karmarkar}'s linear programming
                 algorithm for problems in standard form",
  journal =      "Mathematical Programming",
  volume =       "37",
  year =         "1987",
  pages =        "81--90",
  note =         "Errata in {\em Mathematical Programming}, 40:111,
                 1988",
}

@Article{int:Gay4,
  author =       "D. M. Gay",
  title =        "Massive memory buys little speed for complete,
                 in--core sparse {Cholesky} factorizations on some
                 scalar computers",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "291--314",
}

@InCollection{int:Gay5,
  author =       "D. M. Gay",
  title =        "Stopping tests that compute optimal solutions for
                 interior--point linear programming algorithms",
  booktitle =    "Advances in Numerical Partial Differential Equations
                 and Optimization",
  year =         "1991",
  pages =        "17--42",
  publisher =    "SIAM Publications",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Gay6,
  author =       "D. M. Gay and N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "The {Karmarkar} algorithm~: {Adding} wings to linear
                 programming",
  journal =      "Record AT~\&~T~Bell Laboratories",
  volume =       "64",
  number =       "2",
  year =         "1986",
  pages =        "4--10",
}

@Book{int:Gay7,
  author =       "D. M. Gay and M. Kojima and R. A. Tapia",
  title =        "Interior Point Methods for Linear Programming",
  year =         "1991",
  month =        jul,
  series =       "Linear Algebra and Its Applications",
  volume =       "152",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@InBook{int:Gelbaum1,
  author =       "B. R. Gelbaum",
  title =        "Linear Algebra~: Basics, Practice and Theory",
  chapter =      "5.7~: {The K}armarkar algorithm",
  pages =        "504--527",
  publisher =    "North Holland",
  address =      "New York, NY, USA",
  year =         "1989",
}

@TechReport{int:Ghare1,
  author =       "P. Ghare",
  title =        "Free decision variables and simplified interior point
                 methods for linear programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Northern Virginia Graduate Centre",
  address =      "USA",
}

@Article{int:Ghellinck1,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "A polynomial {Newton} method for linear programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "425--453",
}

@Article{int:Ghellinck2,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "An extension of {Karmarkar}'s algorithm for solving a
                 system of linear homogeneous equations on the simplex",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "79--92",
}

@TechReport{int:Ghellinck3,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "A unified approach to projective and affine
                 algorithms for linear programming",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Center of Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B-1348~Louvain-la-Neuve, Belgium",
}

@TechReport{int:Gill1,
  author =       "P. E. Gill and W. Murray and M. A. Saunders",
  title =        "A single -- phase dual barrier method for linear
                 programming",
  type =         "{Technical Report}",
  number =       "SOL~88--10",
  year =         "1988",
  month =        aug,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill2,
  author =       "P. E. Gill and W. Murray and M. A. Saunders",
  title =        "Interior--point methods for linear programs : {A}
                 challenge to the simplex method",
  type =         "{Technical Report}",
  number =       "SOL~88--14",
  year =         "1988",
  month =        jul,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill3,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "A note on nonlinear approaches to linear programming",
  type =         "{Technical Report}",
  number =       "SOL~86--7",
  year =         "1986",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill4,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "Convergence results for a shifted barrier linear
                 programming method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill5,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "Shifted barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~88--9",
  year =         "1988",
  month =        aug,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill6,
  author =       "P. E. Gill and A. Marxen and W. Murray and M. A.
                 Saunders and M. H. Wright",
  title =        "Solution of the primal {LP}-problem by a barrier
                 method~: {Some} implementation aspects",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Gill7,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and J. A.
                 Tomlin and M. H. Wright",
  title =        "On projected {Newton} barrier methods for linear
                 programming and an equivalence to {Karmarkar}'s
                 projective method",
  journal =      "Mathematical Programming",
  volume =       "36",
  year =         "1986",
  pages =        "183--209",
}

@TechReport{int:Gill8,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M.
                 A. Saunders",
  title =        "Primal--dual methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~91-3",
  year =         "1991",
  month =        may,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill9,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M.
                 A. Saunders",
  title =        "Solving reduced {KKT}--systems in barrier methods for
                 linear and quadratic programming",
  type =         "{Technical Report}",
  number =       "SOL~91-7",
  year =         "1991",
  month =        jul,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Book{int:Gill10,
  author =       "P. E. Gill and W. Murray and M. H. Wright",
  title =        "Numerical Linear Algebra and Optimization, {Vol}.\ 2",
  publisher =    "Addison Wesley Publishing Company",
  year =         "1991/92",
  address =      "Amsterdam, The Netherlands",
  note =         "Chapter on interior point methods",
}

@TechReport{int:Gill11,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M.
                 A. Saunders",
  title =        "Preconditioners for indefinite systems arising in
                 optimization",
  type =         "{Technical Report}",
  number =       "SOL~90-8",
  year =         "1990",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Glassman1,
  author =       "N. D. Glassman",
  title =        "{ONR (Office of Naval Research)} focuses on interior
                 methods",
  journal =      "SIAM News",
  volume =       "20",
  number =       "2",
  pages =        "12",
  year =         "1987",
  month =        mar,
}

@Article{int:Gleick1,
  author =       "J. Gleick",
  title =        "Breakthrough in problem solving",
  journal =      "The New York Times",
  year =         "1984",
  month =        "November 19, ",
}

@TechReport{int:Goessl1,
  author =       "H. Goessl",
  title =        "{Eine Modifikation des Verfahrens von Karmarkar
                 basierend auf einer Formulierung des Algorithmus im
                 Originalproblem~(A modification of Karmarkar's
                 algorithm based on a formulation of the algorithm in
                 the original problem)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1986",
  month =        oct,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D-5600~Wuppertal~1, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:53:03 1995",
}

@TechReport{int:Goessl2,
  author =       "H. Goessl",
  title =        "{Eine Verallgemeinerung und eine duale Variante des
                 Verfahrens von de Ghellinck und Vial zur linearen
                 Optimierung~(A generalization and a dual variant of
                 the algorithm of de Ghellinck and Vial for linear
                 programming)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1987",
  month =        dec,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D-5600~Wuppertal~1, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:53:16 1995",
}

@PhdThesis{int:Goessl3,
  author =       "H. Goessl",
  title =        "{Varianten der polynomialen Newtonmethode zur
                 linearen Optimierung~(Variants of the polynomial
                 Newton method for linear programming)}",
  year =         "1989",
  school =       "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D-5600~Wuppertal~1, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:53:18 1995",
}

@InCollection{int:Goffin1,
  author =       "J. L. Goffin",
  title =        "Affine and projective methods in nondifferentiable
                 optimization",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, West Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  year =         "1988",
  pages =        "79--91",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  bibdate =      "Sat Dec 30 09:53:28 1995",
}

@TechReport{int:Goffin2,
  author =       "J. L. Goffin",
  title =        "Decomposition and large scale optimization with the
                 interior point algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@Article{int:Goffin3,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "Cutting planes and column generation techniques with
                 the projective algorithm",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "65",
  year =         "1990",
  pages =        "409--429",
}

@TechReport{int:Goffin4,
  author =       "J. L. Goffin and A. Haurie and J. P. Vial",
  title =        "Decomposition and nondifferentiable optimization with
                 the projective algorithm",
  type =         "Preprint",
  number =       "G--89--25",
  year =         "1989",
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@TechReport{int:Goffin5,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "Short steps with {Karmarkar}'s projective algorithm
                 for linear programming",
  type =         "Manuscript",
  year =         "1990",
  institution =  "Department d'Economic Commerciale et Industrielle,
                 Universite de Geneve",
  address =      "Geneve, Switzerland",
}

@TechReport{int:Goffin6,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "On the computation of weighted analytic centers and
                 dual ellipsoids with the projective algorithm",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@TechReport{int:Goffin7,
  author =       "J. L. Goffin and A. Haurie and J. P. Vial and D. L.
                 Zhu",
  title =        "Using central prices in the decomposition of linear
                 programs",
  type =         "{Research Working Paper Series}",
  year =         "1991",
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@TechReport{int:Goffin8,
  author =       "J. L. Goffin",
  title =        "Affine methods in nondifferentiable optimization",
  type =         "{CORE Discussion Paper}",
  number =       "8744",
  year =         "1987",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B-1348 Louvain-la-Neuve, Belgium",
}

@InCollection{int:Goldberg1,
  author =       "A. V. Goldberg and S. A. Plotkin and D. B. Shmoys and
                 E. Tardos",
  title =        "Interior--point methods in parallel computation",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "350--355",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@TechReport{int:Goldfarb1,
  author =       "D. Goldfarb",
  title =        "A relaxed version of {Karmarkar}'s method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Goldfarb2,
  author =       "D. Goldfarb",
  title =        "A primal projective interior point method for linear
                 programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb3,
  author =       "D. Goldfarb and S. Liu",
  title =        "An ${O(n^{3}L)}$ primal interior point algorithm for
                 convex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "325--340",
}

@Article{int:Goldfarb4,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A relaxed version of {Karmarkar}'s method",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "289--315",
}

@Article{int:Goldfarb5,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "Relaxed variants of {Karmarkar}'s algorithm for
                 linear programs with unknown optimal objective value",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "183--195",
}

@TechReport{int:Goldfarb6,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A homogeneous equations variant of {Karmarkar}'s
                 algorithm for solving linear programs",
  type =         "{Talk held at ORSA/TIMS Joint National Meeting in New
                 Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb7,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A self--correcting version of {Karmarkar}'s
                 algorithm",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "26",
  year =         "1989",
  pages =        "1006--1015",
}

@InCollection{int:Goldfarb8,
  author =       "D. Goldfarb and M. J. Todd",
  title =        "Karmarkar's projective scaling algorithm",
  booktitle =    "Optimization",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
  editor =       "G. L. Nemhauser and A. H. G. {Rinnoy Kan} and M. J.
                 Todd",
  series =       "Handbooks in Operations Research and Management
                 Science",
  volume =       "1",
  year =         "1989",
  pages =        "141--170",
}

@Article{int:Goldfarb9,
  author =       "D. Goldfarb and S. Liu and S. Wang",
  title =        "A logarithmic barrier function algorithm for
                 quadratically constrained convex programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "252--267",
}

@TechReport{int:Goldfarb10,
  author =       "D. Goldfarb and S. Liu",
  title =        "Interior point potential function reduction algorithm
                 for solving convex quadratic programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb11,
  author =       "D. Goldfarb and D. Xiao",
  title =        "A primal projective interior point method for linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "51",
  year =         "1991",
  pages =        "17--43",
}

@Article{int:Golshtejn1,
  author =       "E. G. Gol'shtejn and A. S. Nemirovsky and Y. E.
                 Nesterov",
  title =        "On some recent advances in optimization",
  journal =      "Ekonomika i Matematickeskie Metody (Moscow)",
  volume =       "26",
  number =       "1",
  year =         "1990",
  pages =        "178--190",
  note =         "(In Russian)",
}

@TechReport{int:Gondzio1,
  author =       "J. Gondzio",
  title =        "Splitting dense columns of constraint matrix in
                 interior point methods for large scale linear
                 programming",
  type =         "Cahier",
  number =       "105",
  year =         "1991",
  month =        jul,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
  note =         "Former title~: {\em On handling dense columns of
                 constraint matrix in interior point methods of large
                 scale linear programming}, April 1991. To appear in
                 {\em Optimization}",
}

@TechReport{int:Gondzio2,
  author =       "J. Gondzio",
  title =        "An advanced implementation of {Cholesky}
                 factorization for computing projections in interior
                 point methods for large scale linear programming",
  type =         "Cahier",
  number =       "107",
  year =         "1991",
  month =        dec,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@TechReport{int:Gondzio3,
  author =       "J. Gondzio and D. Tachat",
  title =        "The design and application of the {IMPLO -- A
                 FORTRAN} library for linear optimization with interior
                 point methods",
  type =         "Cahier",
  number =       "108",
  year =         "1992",
  month =        jan,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@TechReport{int:Gonzaga1,
  author =       "C. C. Gonzaga",
  title =        "New results in conical projection methods for
                 mathematical programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Electrical Engineering and Computer
                 Science, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Gonzaga2,
  author =       "C. C. Gonzaga",
  title =        "Search directions for interior linear programming
                 methods",
  journal =      "Algorithmica",
  volume =       "6",
  year =         "1991",
  pages =        "153--181",
}

@Article{int:Gonzaga3,
  author =       "C. C. Gonzaga",
  title =        "Interior point algorithms for linear programming
                 problems with inequality constraints",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "209--225",
}

@Article{int:Gonzaga4,
  author =       "C. C. Gonzaga",
  title =        "Polynomial affine algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990",
  pages =        "7--21",
}

@Article{int:Gonzaga5,
  author =       "C. C. Gonzaga",
  title =        "Conical projection algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "151--173",
}

@InCollection{int:Gonzaga6,
  author =       "C. C. Gonzaga",
  title =        "An algorithm for solving linear programming problems
                 in ${O(n^{3}L)}$ operations",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "1--28",
}

@Article{int:Gonzaga7,
  author =       "C. C. Gonzaga",
  title =        "Large steps path--following methods for linear
                 programming, {Part~I}~: {Barrier} function method",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "268--279",
}

@Article{int:Gonzaga8,
  author =       "C. C. Gonzaga",
  title =        "Large steps path--following methods for linear
                 programming, {Part~II}~: {Potential} reduction method",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "280--292",
}

@TechReport{int:Gonzaga9,
  author =       "C. C. Gonzaga",
  title =        "An overview of ${O(\sqrt{n}L)}$--iteration algorithms
                 for linear programming",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga10,
  author =       "C. C. Gonzaga",
  title =        "A larger step path--following potential reduction
                 algorithm for linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga11,
  author =       "C. C. Gonzaga",
  title =        "Large steps potential reduction algorithms for linear
                 programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga12,
  author =       "C. C. Gonzaga and M. J. Todd",
  title =        "An ${O(\sqrt{n}L)}$--iteration large--step
                 primal--dual affine algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "862",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Gonzaga13,
  author =       "C. C. Gonzaga",
  title =        "A conical projection algorithm for linear
                 programming",
  type =         "Memorandum",
  number =       "UCB/ERL~M85/61",
  year =         "1985",
  month =        jul,
  institution =  "Electronics Research Laboratory, University of
                 California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Gonzaga14,
  author =       "C. C. Gonzaga",
  title =        "On lower bound updates in primal potential reduction
                 methods for linear programming",
  type =         "{Technical Report}",
  number =       "ES--227/90",
  year =         "1990",
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Gonzaga15,
  author =       "C. C. Gonzaga",
  title =        "A simple representation of {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  year =         "1988",
  month =        may,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga16,
  author =       "C. C. Gonzaga",
  title =        "On the convergence of the large step affine--scaling
                 algorithm for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga17,
  author =       "C. C. Gonzaga",
  title =        "Trust region minimization in conical projection
                 algorithms",
  type =         "{Talk held at the Eleventh IFORS International
                 Conference on Operations Research in Buenos Aires,
                 Argentina}",
  year =         "1987",
  month =        aug,
  institution =  "Dept.\ of Electrical Engineering and Computer
                 Science, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Gonzaga18,
  author =       "C. C. Gonzaga",
  title =        "Convergence of the large step primal affine--scaling
                 algorithm for primal nondegenerate linear programs",
  type =         "{Technical Report}",
  number =       "ES--230/90",
  year =         "1990",
  month =        sep,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga19,
  author =       "C. C. Gonzaga",
  title =        "Path following methods for linear programming",
  type =         "{Technical Report}",
  number =       "ES--246/91",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
  note =         "To appear in {\em SIAM Reviews 34, 1991}",
}

@TechReport{int:Gonzaga20,
  author =       "C. C. Gonzaga",
  title =        "Path--following algorithms for linear and quadratic
                 programming",
  type =         "{Talk held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@Article{int:Gonzaga21,
  author =       "C. C. Gonzaga",
  title =        "An interior trust region method for linearly
                 constrained optimization",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "55--66",
}

@TechReport{int:Gonzaga22,
  author =       "C. C. Gonzaga and L. A. Carlos",
  title =        "A primal affine--scaling algorithm for linearly
                 constrained convex programs",
  type =         "{Technical Report}",
  number =       "ES--238/90",
  year =         "1990",
  month =        dec,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gray1,
  author =       "P. Gray and J. A. Kaliski and Y. Ye",
  title =        "An implementation of the build--up interior method
                 for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "College of Business, Dept.\ of Management Sciences,
                 University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Groetschel1,
  author =       "M. Gr{\"o}tschel",
  title =        "{Patente f{\"u}r mathematische Algorithmen. (Patents
                 for mathematical algorithms)}",
  journal =      "Mitteilungen der Deutschen Mathematiker--Vereinigung",
  volume =       "{Heft 2}",
  year =         "1991",
  month =        apr,
  pages =        "52--56",
  note =         "(In German)",
}

@TechReport{int:Grover1,
  author =       "L. K. Grover",
  title =        "Strongly polynomial interior point algorithm for a
                 class of linear programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Grover2,
  author =       "L. K. Grover",
  title =        "Interior point methods for unimodular linear
                 programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Grover3,
  author =       "L. K. Grover",
  title =        "A force based approach to interior point algorithms
                 for linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Gueler1,
  author =       "O. G{\"u}ler and Y. Ye",
  title =        "Interior point algorithms for {LP} generate strictly
                 complementary solutions",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler2,
  author =       "O. G{\"u}ler",
  title =        "Existence of interior points and interior paths in
                 nonlinear monotone complementarity problems",
  type =         "{Working Paper}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler3,
  author =       "O. G{\"u}ler and Y. Ye",
  title =        "Convergence behavior of some interior point
                 algorithms",
  type =         "{Working Paper}",
  number =       "91--04",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@TechReport{int:Gueler4,
  author =       "O. G{\"u}ler",
  title =        "Path following and potential reduction algorithms for
                 nonlinear monotone complementarity problems",
  type =         "{Working Paper (in preparation)}",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler5,
  author =       "O. G{\"u}ler",
  title =        "An interior point algorithm for nonlinear monotone
                 complementarity problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler6,
  author =       "O. G{\"u}ler and {D. den} Hertog and C. Roos and T.
                 Terlaky and T. Tsuchiya",
  title =        "Degeneracy in interior point methods for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1991",
  month =        dec,
  institution =  "Faculty of Technical Mathematics and Computer
                 Science, TU Delft",
  address =      "NL-2600~GA~Delft, The Netherlands",
}

@InBook{int:Haemmerlin1,
  author =       "G. H{\"a}mmerlin and K. H. Hoffmann",
  title =        "Numerische Mathematik",
  chapter =      "9.4.4~: {Polynomiale Algorithmen}",
  year =         "1991",
  pages =        "424--430",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  edition =      "second",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:53:34 1995",
}

@Article{int:Hamala1,
  author =       "M. Hamala",
  title =        "A general approach to interior point transformation
                 methods for mathematical programming",
  journal =      "Acta Mathematica Universitatis Comenianae (Comenius
                 University Czechoslovakia)",
  volume =       "54/55",
  year =         "1989",
  pages =        "243--266",
}

@Article{int:Hamilton1,
  author =       "B. C. Hamilton and D. E. Stein",
  title =        "{AT~\&~T's KORBX System~: Solving} the unsolvable",
  journal =      "AT~\&~T Technology",
  volume =       "4",
  number =       "3",
  year =         "1989",
  pages =        "36--41",
}

@TechReport{int:Han1,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Interior point approaches to nonconvex programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@InCollection{int:Han2,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Computational aspect of an interior point algorithm
                 for quadratic programming problems with box
                 constraints",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "92--112",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Han3,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "On potential reduction algorithms for some entropy
                 optimization problems",
  type =         "{Technical Report}",
  number =       "CS--91--02",
  year =         "1991",
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Han4,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Solving some engineering problems using an
                 interior--point algorithm",
  type =         "{Technical Report}",
  number =       "CS--91--04",
  year =         "1991",
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Harker1,
  author =       "P. T. Harker and B. Xiao",
  title =        "A polynomial--time algorithm for affine variational
                 inequalities",
  journal =      "Applied Mathematics Letters",
  volume =       "4",
  number =       "2",
  year =         "1991",
  pages =        "31--34",
}

@TechReport{int:Haverly1,
  author =       "C. A. Haverly",
  title =        "Behavior of the simplex and {Karmarkar} algorithms",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Haverly2,
  author =       "C. A. Haverly",
  title =        "Studies on behavior of the {Karmarkar} method",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Haverly3,
  author =       "C. A. Haverly",
  title =        "Results of a new series of case runs using
                 {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Heindl1,
  author =       "G. Heindl",
  title =        "{Eine Implementierung des Karmarkar Verfahrens~(An
                 implementation of Karmarkar's algorithm)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1985",
  month =        feb,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D-5600~Wuppertal~1, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:53:38 1995",
}

@TechReport{int:Herskovits1,
  author =       "J. Herskovits and J. Asquier",
  title =        "A quasi--{Newton} interior point algorithm for
                 nonlinear constrained optimization",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Center of Technology, COPPE Federal University of Rio
                 de Janeiro",
  address =      "21941 Rio de Janeiro, Brazil",
}

@MastersThesis{int:Hertog1,
  author =       "{D. den} Hertog",
  title =        "Interior point methods for linear programming",
  year =         "1989",
  month =        may,
  school =       "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog2,
  author =       "{D. den} Hertog and C. Roos",
  title =        "A survey of search directions in interior point
                 methods for linear programming",
  type =         "{Technical Report}",
  number =       "89--65",
  year =         "1989",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Hertog3,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A potential reduction method for a class of smooth
                 convex programming problems",
  type =         "{Technical Report}",
  number =       "90--01",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog4,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "On the classical logarithmic barrier function method
                 for a class of smooth convex programming problems",
  type =         "{Technical Report}",
  number =       "90--28",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog5,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "An ${O(n^{0.5}L)}$ complexity reduction for long step
                 path following methods",
  type =         "Revised version of {Technical Report}",
  number =       "89--85",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@Article{int:Hertog6,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A potential reduction variant of {Renegar}'s
                 short--step path--following method for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "43--68",
}

@TechReport{int:Hertog7,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "Inverse barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "91--27",
  year =         "1991",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@Article{int:Hertog8,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A polynomial method of weighted centers for convex
                 quadratic programming",
  journal =      "Journal of Information \& Optimization Sciences",
  volume =       "12",
  number =       "2",
  year =         "1991",
  pages =        "187--205",
}

@TechReport{int:Hertog9,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A build--up variant of the path--following method for
                 {LP}",
  type =         "{Technical Report}",
  number =       "91--47",
  year =         "1991",
  month =        jun,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog10,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "A complexity reduction for the long--step
                 path--following for linear programming",
  type =         "{Technical Report}",
  number =       "90--28",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog11,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "Polynomial--time long--steps algorithms for linear
                 programming based on the use of the logarithmic
                 barrier function",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@Article{int:Herzel1,
  author =       "S. Herzel and M. C. Recchioni and F. Zirilli",
  title =        "A quadratically convergent method for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "255--289",
}

@Article{int:Hettich1,
  author =       "R. Hettich and G. Margraff",
  title =        "Some experiments with {Karmarkar}'s algorithm",
  journal =      "Optimization",
  volume =       "19",
  year =         "1988",
  pages =        "653--664",
}

@Article{int:Hettich2,
  author =       "R. Hettich and M. Ries",
  title =        "A modified scaling algorithm for {LP}",
  journal =      "Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "709--721",
}

@InBook{int:Hillier1,
  author =       "F. S. Hillier and G. J. Lieberman",
  title =        "Introduction to Operations Research",
  chapter =      "4.9~: {New} developments, pages 100--104,
                 chapter~9.4~: {An} interior--point algorithm",
  year =         "1990",
  pages =        "312--323",
  publisher =    "McGraw--Hill",
  address =      "",
  edition =      "fifth",
}

@TechReport{int:Ho1,
  author =       "J. K. Ho",
  title =        "Linear programming with spreadsheet macros",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Management Science Program, University of Tennessee",
  address =      "615-SMC, Knoxville, TN~37996-0562, USA",
}

@Article{int:Hoffmann1,
  author =       "A. J. Hoffmann and M. Mannos and D. Sokolowsky and N.
                 Wiegmann",
  title =        "Computational experience in solving linear programs",
  journal =      "Journal of the Society for Industrial and Applied
                 Mathematics (SIAM)",
  volume =       "1",
  year =         "1953",
  pages =        "17--33",
}

@Article{int:Hooker1,
  author =       "J. N. Hooker",
  title =        "Karmarkar's linear programming algorithm",
  journal =      "Interfaces",
  volume =       "16",
  number =       "4",
  year =         "1986",
  pages =        "75--90",
  note =         "Errata in {\em Interfaces}, 17(1):128, 1987",
}

@TechReport{int:Houck1,
  author =       "D. Houck",
  title =        "Introduction to the {AT~\&~T~KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Housos1,
  author =       "E. C. Housos and C. C. Huang and J. M. Liu",
  title =        "Parallel vector computational considerations on the
                 {AT~\&~T~KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Housos2,
  author =       "E. C. Housos and C. C. Huang and J. M. Liu",
  title =        "Parallel algorithms for the {AT~\&~T~KORBX System}",
  journal =      "AT~\&~T~Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "37--47",
}

@Misc{int:Hu1,
  author =       "T. C. Hu",
  title =        "Linear programming algorithms and computational
                 results",
  year =         "1987",
  address =      "Dept.\ of Computer Science, University of California,
                 La Jolla, CA 92093, USA",
  note =         "Panel--Discussion at the ORSA/TIMS Joint National
                 Meeting in St.~Louis, October 1987",
}

@TechReport{int:Huang1,
  author =       "S. Huang",
  title =        "A primal--dual algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Huang2,
  author =       "S. Huang and K. O. Kortanek",
  title =        "A simultaneous primal-- and dual--potential reduction
                 algorithm for linear programming",
  type =         "{Working Paper Series}",
  number =       "89--2",
  year =         "1989",
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Huang3,
  author =       "S. Huang and K. O. Kortanek",
  title =        "A large--step simultaneous primal--dual potential
                 reduction algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@InCollection{int:Huard1,
  author =       "P. Huard",
  title =        "Resolution of mathematical programming with nonlinear
                 constraints by the method of centers",
  booktitle =    "Nonlinear Programming",
  editor =       "J. Abadie",
  year =         "1967",
  pages =        "207--219",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Huard2,
  author =       "P. Huard",
  title =        "A method of centers by upper--bounding functions with
                 applications",
  booktitle =    "Nonlinear Programming~: Proceedings of a Symposium
                 held at the University of Wisconsin, Madison,
                 Wisconsin, USA, May 1970",
  editor =       "J. B. Rosen and O. L. Mangasarian and K. Ritter",
  year =         "1970",
  pages =        "1--30",
  publisher =    "Academic Press",
  address =      "New York, USA",
}

@TechReport{int:Ikura1,
  author =       "Y. Ikura and D. Stein",
  title =        "Computational experience with a {Karmarkar}--based
                 approach to solve multi--period, multi--refinery
                 production models",
  type =         "{Talk held at the 12th Triennial Conference on
                 Operations Research in Athens, Greece}",
  year =         "1990",
  month =        jun,
  institution =  "AT~\&~T~Bell Laboratories",
}

@Article{int:Imai1,
  author =       "H. Imai",
  title =        "Extensions of the multiplicative penalty function for
                 linear programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "30",
  year =         "1987",
  pages =        "160--180",
}

@Article{int:Imai2,
  author =       "H. Imai",
  title =        "On the convexity of the multiplicative version of
                 {Karmarkar}'s potential function",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "29--32",
}

@Article{int:Imai3,
  author =       "H. Imai",
  title =        "Recent trends in linear programming",
  journal =      "Journal of the Institute of Electronics, Information
                 and Communication Engineers (Japan)",
  volume =       "72",
  number =       "10",
  year =         "1989",
  pages =        "1053--1058",
  note =         "(In Japanese)",
}

@Article{int:Imai4,
  author =       "H. Imai",
  title =        "On the polynomiality of the multiplicative penalty
                 function method for linear programming and related
                 inscribed ellipsoids",
  journal =      "Transactions of the Institute of Electronics,
                 Information and Communication Engineers (Japan)",
  volume =       "E74",
  number =       "4",
  year =         "1991",
  month =        apr,
  pages =        "669--671",
}

@TechReport{int:Iri1,
  author =       "M. Iri",
  title =        "Another `simple and fast' algorithm for linear
                 programming",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Mathematical Engineering and
                 Instrumentation Physics, University of Tokyo",
  address =      "Tokyo, Japan",
}

@TechReport{int:Iri2,
  author =       "M. Iri",
  title =        "Integrability of vector and polyvector fields
                 associated with interior point methods",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematical Engineering and
                 Instrumentation Physics, University of Tokyo",
  address =      "Tokyo, Japan",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@Article{int:Iri3,
  author =       "M. Iri and H. Imai",
  title =        "A multiplicative penalty function for linear
                 programming-- another `new and fast' algorithm",
  journal =      "Proceedings of the 6th Mathematical Programming
                 Symposium of Japan, Tokyo, Japan",
  year =         "1985",
  pages =        "97--120",
}

@Article{int:Iri4,
  author =       "M. Iri and H. Imai",
  title =        "A multiplicative barrier function method for linear
                 programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "455--482",
}

@InCollection{int:Iri5,
  author =       "M. Iri and H. Imai",
  title =        "Theory of the multiplicative penalty function method
                 for linear programming",
  booktitle =    "Discrete Algorithms and Complexity~: Proceedings of
                 the Japan--US Joint Seminar, Kyoto, Japan, June 1986",
  editor =       "D. S. Johnson and T. Nishizeki and A. Nozaki and H.
                 S. Wilf",
  year =         "1987",
  pages =        "417--435",
  publisher =    "Academic Press",
  address =      "New York, NY, USA",
}

@TechReport{int:Iri6,
  author =       "M. Iri",
  title =        "A proof of the polynomiality of the {Iri--Imai}
                 method for linear programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Engineering and
                 Instrumentation Physics, University of Tokyo",
  address =      "Tokyo, Japan",
}

@TechReport{int:Jan1,
  author =       "G. M. Jan and S. C. Fang",
  title =        "A variant of affine--scaling method for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "North Carolina State University",
  address =      "Raleigh, NC~27695-7913, USA",
}

@Article{int:Jan2,
  author =       "G. M. Jan and S. C. Fang",
  title =        "A new variant of the primal affine scaling method for
                 linear programs",
  journal =      "Optimization",
  volume =       "22",
  number =       "5",
  year =         "1991",
  pages =        "681--715",
}

@PhdThesis{int:Jan3,
  author =       "G. M. Jan",
  title =        "A new variant of the primal affine scaling algorithm
                 for linear programs",
  year =         "1990",
  month =        jul,
  school =       "Dept.\ of Operations Research, North Carolina State
                 University",
  address =      "Raleigh, NC~27695-7913, USA",
}

@Article{int:Janacek1,
  author =       "J. Janacek",
  title =        "{Perspektivy Karmarkarova algorithmu v linearnim
                 programovani (Perspectives of Karmarkar's algorithm in
                 linear programming)}",
  journal =      "Ekonomicko--Matematicky Obzor (Czechoslovakia)",
  volume =       "25",
  number =       "1",
  year =         "1989",
  pages =        "50--63",
  note =         "(In Czech)",
}

@Article{int:Jarre1,
  author =       "F. Jarre",
  title =        "On the convergence of the method of analytic centers
                 when applied to convex quadratic programs",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "341--358",
}

@TechReport{int:Jarre2,
  author =       "F. Jarre",
  title =        "The method of analytic centers for smooth convex
                 programs",
  type =         "Preprint",
  number =       "165",
  year =         "1989",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:53:42 1995",
}

@InCollection{int:Jarre3,
  author =       "F. Jarre",
  title =        "On the method of analytic centers for solving smooth
                 convex programs",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "69--86",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:01 1995",
}

@TechReport{int:Jarre4,
  author =       "F. Jarre",
  title =        "A homotopy method for convex programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:03 1995",
}

@InCollection{int:Jarre5,
  author =       "F. Jarre and G. Sonnevend and J. Stoer",
  title =        "An implementation of the method of analytic centers",
  booktitle =    "Analysis and Optimization of Systems",
  editor =       "A. Bensoussan and J. L. Lions",
  year =         "1988",
  pages =        "297--308",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "111",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:06 1995",
}

@TechReport{int:Jarre6,
  author =       "F. Jarre",
  title =        "Convergence of the method of analytic centers for
                 generalized convex programs",
  type =         "DFG--Report",
  number =       "67",
  year =         "1988",
  month =        may,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  note =         "Revised October 1988",
  bibdate =      "Sat Dec 30 09:54:08 1995",
}

@PhdThesis{int:Jarre7,
  author =       "F. Jarre",
  title =        "The method of analytic centers for smooth convex
                 programs",
  year =         "1989",
  school =       "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:10 1995",
}

@TechReport{int:Jarre8,
  author =       "F. Jarre",
  title =        "Interior--point methods for convex programming",
  type =         "{Technical Report}",
  number =       "SOL~90--16",
  year =         "1990",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@InCollection{int:Jarre9,
  author =       "F. Jarre and G. Sonnevend and J. Stoer",
  title =        "On the complexity of a numerical algorithm for
                 solving generalized convex quadratic programs by
                 following a central path",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "233--242",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Jarre10,
  author =       "F. Jarre and M. A. Saunders",
  title =        "An adaptive primal--dual method for linear
                 programming",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "7--16",
}

@TechReport{int:Jensen1,
  author =       "D. L. Jensen and A. E. Steger",
  title =        "A variation of {Karmarkar}'s algorithm to solve
                 linear programs in standard form",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "State University of New York",
  address =      "Stony Brook, NY~11794, USA",
}

@TechReport{int:Ji1,
  author =       "J. Ji and F. Potra and R. A. Tapia and Y. Zhang",
  title =        "An interior--point method with polynomial complexity
                 and superlinear convergence for linear complementarity
                 problems",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "Technical Report TR--91--23, Dept.\ of Mathematical
                 Sciences, Rice University, Houston, TX~77251, USA,
                 1991",
}

@TechReport{int:Jung1,
  author =       "H. W. Jung and R. E. Marsten and M. J. Saltzman",
  title =        "The column {Cholesky} method for numerical
                 factorization in interior point algorithms",
  type =         "{Technical Report}",
  number =       "596",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences,Clemson University",
  address =      "Clemson, SC, USA",
}

@TechReport{int:Kaeschel1,
  author =       "J. K{\"a}schel",
  title =        "Karmarkar--{\"a}hnliche {Verfahren in der Linearen
                 Optimierung (Karmarkar--type procedures in linear
                 programming)}",
  type =         "{Talk held at the DGOR--Jahrestagung in
                 Stuttgart--Hohenheim, Germany}",
  year =         "1991",
  month =        sep,
  institution =  "Sektion Wirtschaftswissenschaften, TU Chemnitz",
  address =      "P.~O.~Box~964, D-9010~Chemnitz, East Germany",
  bibdate =      "Sat Dec 30 09:54:52 1995",
}

@Article{int:Kalantari1,
  author =       "B. Kalantari",
  title =        "Karmarkar's algorithm with improved steps",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "73--78",
}

@TechReport{int:Kalantari2,
  author =       "B. Kalantari",
  title =        "Derivation of a generalized and strengthened {Gordan
                 Theorem} from generalized {Karmarkar} potential and
                 logarithmic barrier functions",
  type =         "{Technical Report}",
  number =       "LCSR--TR--121",
  year =         "1989",
  institution =  "Laboratory for Computer Science Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@InCollection{int:Kalantari3,
  author =       "B. Kalantari",
  title =        "Canonical problems for quadratic programming and
                 projective methods for their solution",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "243--263",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Kalantari4,
  author =       "B. Kalantari",
  title =        "Solving linear programming by bisection and a
                 projective feasibility algorithm",
  type =         "{Technical Report}",
  number =       "LCSR--TR--91",
  year =         "1987",
  institution =  "Laboratory for Computer Science Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Kalantari5,
  author =       "B. Kalantari",
  title =        "Generalization of {Karmarkar's} algorithm to convex
                 homogeneous functions",
  type =         "{Technical Report}",
  number =       "LCSR--TR--130",
  year =         "1989",
  institution =  "Laboratory for Computer Science Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Kaliski1,
  author =       "J. A. Kaliski and Y. Ye",
  title =        "A decomposition variant of the potential reduction
                 algorithm for linear programming",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kaliski2,
  author =       "J. A. Kaliski and Y. Ye",
  title =        "Convergence behavior of {Karmarkar}'s projective
                 algorithm for solving a simple linear program",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "389--393",
}

@TechReport{int:Kallio1,
  author =       "M. Kallio",
  title =        "On gradient projection for linear programming",
  type =         "Manuscript",
  year =         "1986",
  institution =  "School of Organization and Management, Yale
                 University",
  address =      "New Haven, CT~06520, USA",
}

@Article{int:Kallio2,
  author =       "M. Kallio and E. L. Porteus",
  title =        "A class of methods for linear programming",
  journal =      "Mathematical Programming",
  volume =       "14",
  year =         "1978",
  pages =        "161--176",
}

@Article{int:Kamath1,
  author =       "A. P. Kamath and N. K. Karmarkar and K. G.
                 Ramakrishnan and M. G. C. Resende",
  title =        "Computational experience with an interior point
                 algorithm on the satisfiability problem",
  journal =      "Annals of Operations Research",
  volume =       "25",
  year =         "1990",
  pages =        "43--58",
}

@Book{int:Kannan1,
  author =       "R. Kannan and W. R. Pulleyblank",
  title =        "Integer Programming and Combinatorial Optimization",
  year =         "1990",
  publisher =    "University of Waterloo Press",
  address =      "Waterloo, Ontario, Canada",
}

@Article{int:Kapoor1,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "Fast algorithms for convex quadratic programming and
                 multicommodity flows",
  journal =      "Proceedings of the 18th Annual ACM Symposium on
                 Theory of Computing",
  year =         "1986",
  pages =        "147--159",
}

@TechReport{int:Kapoor2,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "An extension of {Karmarkar}'s interior point method
                 to convex quadratic programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Computer Science, University of Illinois at
                 Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
}

@TechReport{int:Kapoor3,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "Speeding--up {Karmarkar}'s algorithm for
                 multicommodity flows",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Computer Science, University of Illinois at
                 Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@Book{int:Karloff1,
  author =       "H. Karloff",
  title =        "Linear Programming",
  year =         "1991",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  note =         "Chapter on Karmarkar's algorithm",
}

@Article{int:Karmarkar1,
  author =       "N. K. Karmarkar",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  journal =      "Proceedings of the 16th Annual ACM Symposium on
                 Theory of Computing",
  year =         "1984",
  pages =        "302--311",
}

@Article{int:Karmarkar2,
  author =       "N. K. Karmarkar",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  journal =      "Combinatorica",
  volume =       "4",
  year =         "1984",
  pages =        "373--395",
}

@TechReport{int:Karmarkar3,
  author =       "N. K. Karmarkar",
  title =        "Some comments on the significance of the new
                 polynomial--time algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1984",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar4,
  author =       "N. K. Karmarkar",
  title =        "An interior--point approach to {NP}--complete
                 problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1988",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Misc{int:Karmarkar5,
  author =       "N. K. Karmarkar",
  title =        "Methods and apparatus for efficient resource
                 allocation",
  howpublished = "U.S.~Patent No.~4.744.028",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@InCollection{int:Karmarkar6,
  author =       "N. K. Karmarkar",
  title =        "Riemannian geometry underlying interior--point
                 methods for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "51--75",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Karmarkar7,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Further developments in the new polynomial--time
                 algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Boston, MA, USA}",
  year =         "1985",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar8,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Implementation and computational aspects of the
                 {Karmarkar} algorithm for linear programming, using an
                 iterative method for computing projections",
  type =         "{Talk held at the 13th International Symposium on
                 Mathematical Programming in Tokyo, Japan}",
  year =         "1988",
  month =        aug,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "Extended Abstract circulated at the Symposium",
}

@TechReport{int:Karmarkar9,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Computational results of an interior point algorithm
                 for large scale linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Karmarkar10,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Robust control system models and their solution by
                 the {Karmarkar} algorithm",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar11,
  author =       "N. K. Karmarkar and L. P. Sinha",
  title =        "Application of {Karmarkar}'s algorithm to overseas
                 telecommunications facilities planning",
  type =         "{Talk held at the 12th International Symposium on
                 Mathematical Programming in Boston, MA, USA}",
  year =         "1985",
  month =        aug,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar12,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "An interior point algorithm for zero--one integer
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ 07974, USA",
}

@TechReport{int:Karmarkar13,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "Further developments on an interior point algorithm
                 for zero--one integer programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Karmarkar14,
  author =       "N. K. Karmarkar and J. C. Lagarias and L. Slutsman
                 and P. Wang",
  title =        "Power--series variants of {Karmarkar}--type
                 algorithms",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "20--36",
}

@TechReport{int:Karmarkar15,
  author =       "N. K. Karmarkar",
  title =        "Interior point methods in optimization",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar16,
  author =       "N. K. Karmarkar",
  title =        "Recent developments in new approaches to linear
                 programming",
  type =         "{Talk held at the SIAM Conference on Optimization,
                 Houston, TX, USA}",
  year =         "1987",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar17,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "An interior point algorithm to solve computationally
                 difficult set covering problems",
  type =         "{Extended Abstract}",
  year =         "1989",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Karmarkar18,
  author =       "N. K. Karmarkar",
  title =        "Why is the new algorithm better than simplex method
                 and ellipsoid method~?",
  type =         "{Extended Abstract}",
  year =         "1984/85",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Karmarkar19,
  author =       "N. K. Karmarkar",
  title =        "An interior--point approach to {NP}--complete
                 problems -- {Part I}",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "297--308",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Karmarkar20,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "An interior--point approach to the maximum
                 independent set problem in dense random graphs",
  type =         "{Manuscript (in preparation)}",
  year =         "1988/1990",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Katsura1,
  author =       "R. Katsura and M. Fukushima and T. Ibaraki",
  title =        "Interior methods for nonlinear minimum cost network
                 flow problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "174--179",
}

@Article{int:Kennington1,
  author =       "J. L. Kennington",
  title =        "Using {KORBX} for military airlift applications",
  journal =      "Proceedings of the 28th IEEE Conference on Decision
                 and Control",
  year =         "1989",
  month =        dec,
  pages =        "1603--1605",
}

@PhdThesis{int:Keraghel1,
  author =       "A. Keraghel",
  title =        "Etude adaptive et comparative des principales
                 variantes dans l'algorithme de {Karmarkar}",
  year =         "1989",
  school =       "Laboratoire ARTEMIS (IMAG), Universite Joseph
                 Fourier",
  address =      "BP~68, F-38402 St.~Martin d'Heres Cedex, France",
  note =         "(In French)",
  bibdate =      "Thu Nov 21 08:26:23 1996",
}

@TechReport{int:Khachian1,
  author =       "L. G. Khachian and M. J. Todd",
  title =        "On the complexity of approximating the maximal
                 inscribed ellipsoid for a polytope",
  type =         "{Technical Report}",
  number =       "893",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, College of Engineering, Cornell
                 University",
  address =      "Ithaca, NY~14853, USA",
}

@Article{int:Kim1,
  author =       "K. Kim and J. L. Nazareth",
  title =        "The decomposition principle and algorithms for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "119--133",
}

@Article{int:Knyazev1,
  author =       "E. A. Knyazev",
  title =        "The method of centers with adaptation of parameters
                 on the basis of the steepest descent",
  journal =      "Issledovaniya po Prikladnoi Matematike (Kazanskii
                 Universitet)",
  volume =       "15",
  year =         "1988",
  pages =        "13--24",
  note =         "(In Russian)",
}

@Article{int:Kojima1,
  author =       "M. Kojima",
  title =        "Determining basic variables of optimal solutions in
                 {Karmarkar's new LP} algorithm",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "499--515",
}

@TechReport{int:Kojima2,
  author =       "M. Kojima and K. Tone",
  title =        "An efficient implementation of {Karmarkar's new LP}
                 algorithm",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--180",
  year =         "1986",
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@TechReport{int:Kojima3,
  author =       "M. Kojima and N. Megiddo and Y. Ye",
  title =        "An interior point potential reduction algorithm for
                 the linear complementarity problem",
  type =         "{Technical Report}",
  number =       "RJ~6486",
  year =         "1988",
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@InCollection{int:Kojima4,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A primal--dual interior point algorithm for linear
                 programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N.~Megiddo",
  year =         "1989",
  pages =        "29--47",
}

@Article{int:Kojima5,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "Ellipsoids that contain all the solutions of a
                 positive semi--definite linear complementarity
                 problems",
  journal =      "Mathematical Programming",
  volume =       "48",
  year =         "1990",
  pages =        "415--435",
}

@Article{int:Kojima6,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "An ${O(\sqrt{n}L)}$ iteration potential reduction
                 algorithm for linear complementarity problems",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "331--342",
}

@Article{int:Kojima7,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A polynomial--time algorithm for a class of linear
                 complementarity problems",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "1--26",
}

@Book{int:Kojima8,
  author =       "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
  title =        "A unified approach to interior point algorithms for
                 linear complementarity problems",
  year =         "1991",
  series =       "Lecture Notes in Computer Science",
  volume =       "538",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
}

@Article{int:Kojima9,
  author =       "M. Kojima and N. Megiddo",
  title =        "The relation between the path of centers and
                 {Smale's} regularization of the linear programming
                 problem",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "135--139",
}

@TechReport{int:Kojima10,
  author =       "M. Kojima and Y. Kurita and S. Mizuno",
  title =        "Large--step interior point algorithms for linear
                 complementarity problems",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--243",
  year =         "1991",
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@TechReport{int:Kojima11,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "A general framework of continuation methods for
                 complementarity problems",
  type =         "{Research Report}",
  number =       "RJ~7720~(71585)",
  year =         "1990",
  institution =  "IBM Almaden Research Division",
  address =      "San Jose, CA~95120-6099, USA",
}

@TechReport{int:Kojima12,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "Theoretical convergence of large--step--primal--dual
                 interior point algorithms for linear programming",
  type =         "{Research Report}",
  number =       "RJ~7872~(72532)",
  year =         "1990",
  institution =  "IBM Almaden Research Division",
  address =      "San Jose, CA~95120-6099, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@Article{int:Kojima13,
  author =       "M. Kojima and S. Mizuno and T. Noma",
  title =        "A new continuation method for complementarity
                 problems with uniform {$P$}--functions",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "107--113",
}

@TechReport{int:Kojima14,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A little theorem of the {$Big-M$} in interior point
                 algorithms",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--239",
  year =         "1991",
  month =        feb,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@Article{int:Kojima15,
  author =       "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
  title =        "A unified approach to interior point algorithms for
                 linear complementarity problems~: {A} summary",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "247--254",
}

@Article{int:Kojima16,
  author =       "M. Kojima and S. Mizuno and T. Noma",
  title =        "Limiting behavior of trajectories by a continuation
                 method for monotone complementarity problems",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "662--675",
}

@TechReport{int:Kojima17,
  author =       "M. Kojima and N. Megiddo and T. Noma",
  title =        "Homotopy continuation methods for complementarity
                 problems",
  type =         "{Research Report}",
  number =       "RJ~6638~(63949)",
  year =         "1989",
  institution =  "IBM Almaden Research Division",
  address =      "San Jose, CA~95120-6099, USA",
}

@TechReport{int:Kojima18,
  author =       "M. Kojima and N. Megiddo and T. Noma",
  title =        "Homotopy continuation methods for nonlinear
                 complementarity problems",
  type =         "{Research Report}",
  year =         "1989",
  institution =  "IBM Almaden Research Division",
  address =      "San Jose, CA~95120-6099, USA",
}

@Article{int:Kolata1,
  author =       "G. Kolata",
  title =        "A fast way to solve hard problems",
  journal =      "Science",
  volume =       "225",
  year =         "1984",
  month =        sep,
  pages =        "1379--1380",
}

@TechReport{int:Konno1,
  author =       "H. Konno and Y. Yajima",
  title =        "Path--following algorithms for solving nonconvex
                 programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Institute of Human and Social Science, Institute of
                 Technology",
  address =      "2-12-1~Oh-Okayama, Meguro-ku, Tokyo 152, Japan",
}

@Article{int:Konno2,
  author =       "H. Konno",
  title =        "Recent advances in linear programming",
  journal =      "Journal of the Japan Society of Simulation
                 Technology",
  volume =       "6",
  number =       "1",
  year =         "1987",
  month =        mar,
  pages =        "18--26",
  note =         "(In Japanese)",
}

@TechReport{int:Kortanek1,
  author =       "K. O. Kortanek",
  title =        "Vector--supercomputer experiments with the linear
                 programming scaling algorithm",
  type =         "{Working Paper Series}",
  number =       "87--2",
  year =         "1987",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
  note =         "To appear in {\em SIAM Journal on Scientific and
                 Statistical Computations (1991~?)}",
}

@TechReport{int:Kortanek2,
  author =       "K. O. Kortanek",
  title =        "A second order affine scaling algorithm for the
                 geometric programming dual with logarithmic barrier",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kortanek3,
  author =       "K. O. Kortanek and M. Shi",
  title =        "Convergence results and numerical experiments on a
                 linear programming hybrid algorithm",
  journal =      "European Journal of Operational Research",
  volume =       "32",
  year =         "1987",
  pages =        "47--61",
}

@Article{int:Kortanek4,
  author =       "K. O. Kortanek and J. Zhu",
  title =        "New purification algorithms for linear programming",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "35",
  year =         "1988",
  pages =        "571--583",
}

@TechReport{int:Kortanek5,
  author =       "K. O. Kortanek and D. N. Leo and M. Shi",
  title =        "An application of a hybrid algorithm for
                 semi--infinite programming",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming, Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kortanek6,
  author =       "K. O. Kortanek and F. Potra and Y. Ye",
  title =        "On some efficient interior point methods for
                 nonlinear convex programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "169--189",
}

@TechReport{int:Kortanek7,
  author =       "K. O. Kortanek and H. No",
  title =        "A second order affine scaling algorithm for the
                 geometric programming dual with logarithmic barrier",
  type =         "{Working Paper Series}",
  number =       "90--07",
  year =         "1990",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Kortanek8,
  author =       "K. O. Kortanek and J. Zhu",
  title =        "Controlling the parameter in the logarithmic barrier
                 term for convex programming problems",
  type =         "{Working Paper Series}",
  number =       "90--12",
  year =         "1990",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Kortanek9,
  author =       "K. O. Kortanek and S. Huang and J. Zhu",
  title =        "Central path trajectories and controlled dual
                 perturbations for geometric programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Korytowski1,
  author =       "A. Korytowski",
  title =        "Inner search methods for linear programming",
  journal =      "Zastosowania Matematyki (Warshaw, Poland)",
  volume =       "20",
  number =       "2",
  year =         "1990",
  pages =        "307--327",
}

@TechReport{int:Kovacevic1,
  author =       "V. V. {Kovacevic--Vujcic}",
  title =        "Improving the rate of convergence of interior point
                 methods for linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "University of Belgrade",
  address =      "Belgrade, Yugoslavia",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@Article{int:Kozlov1,
  author =       "A. Kozlov",
  title =        "The {Karmarkar} algorithm~: {Is} it for real~?",
  journal =      "SIAM News",
  volume =       "18",
  number =       "6",
  year =         "1985",
  month =        nov,
  pages =        "1, 4, 13",
}

@Article{int:Kozlov2,
  author =       "A. Kozlov and L. W. Black",
  title =        "Berkeley obtains new results with {Karmarkar}
                 algorithm",
  journal =      "SIAM News",
  volume =       "19",
  number =       "3",
  year =         "1986",
  month =        may,
  pages =        "3, 20",
}

@TechReport{int:Kranich1,
  author =       "E. Kranich",
  title =        "Interior point methods for mathematical programming~:
                 {A} bibliography",
  type =         "{Discussion Paper}",
  number =       "171",
  year =         "1991",
  month =        may,
  institution =  "Institute of Economy and Operations Research,
                 FernUniversit{\"a}t Hagen",
  address =      "P.O. Box~940, D-5800~Hagen~1, Germany",
  note =         "{The (actual) bibliography can be accessed
                 electronically by sending e--mail to `{\em
                 netlib@research.bell-labs.com}' with message `{\em send
                 index from bib}'}",
  bibdate =      "Sat Dec 30 09:54:16 1995",
}

@TechReport{int:Lagarias1,
  author =       "J. C. Lagarias",
  title =        "Analytic algorithms for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Lagarias2,
  author =       "J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~III}~: {Projective Legrende} transform
                 coordinates and {Hilbert} geometry",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "320",
  year =         "1990",
  pages =        "193--225",
}

@Book{int:Lagarias3,
  author =       "J. C. Lagarias and M. J. Todd",
  title =        "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 {USA}, June/July 1988",
  year =         "1990",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Lasdon1,
  author =       "L. S. Lasdon and J. C. Plummer and G. Yu",
  title =        "An interior point algorithm for general nonlinear
                 programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "MSIS Department, College of Business Administration,
                 University of Texas at Austin",
  address =      "Austin, TX~78712, USA",
}

@TechReport{int:Lawler1,
  author =       "E. L. Lawler",
  title =        "Is {Karmarkar}'s algorithm for real~?",
  type =         "{Talk held at the EURO VII Congress on Operations
                 Research in Bologna, Italy}",
  year =         "1985",
  month =        jun,
  institution =  "University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Levkovitz1,
  author =       "R. Levkovitz and G. Mitra and M. Tamiz",
  title =        "Integration of the interior point method within
                 simplex~: {Experiments} in feasible basis recovery",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@TechReport{int:Lindfield1,
  author =       "G. R. Lindfield and A. Salhi",
  title =        "A comparative study of the performance and
                 implementation of the {Karmarkar} algorithm",
  type =         "{Talk held at the Martin Beale Memorial Symposium in
                 London, UK}",
  year =         "1987",
  month =        jul,
  institution =  "Dept.\ of Computer Science and Applied Mathematics,
                 Aston University",
  address =      "Birmingham B4~7ET, Great Britain",
}

@Article{int:Lisser1,
  author =       "A. Lisser and P. Tolla",
  title =        "Variants of {Karmarkar}'s algorithm",
  journal =      "Electricite de France (EDF) Bulletin de la Direction
                 des Etudes et Recherches Serie C Mathematique,
                 Informatique (Paris)",
  volume =       "3",
  year =         "1989",
  pages =        "21--36",
}

@TechReport{int:Lisser2,
  author =       "A. Lisser and N. Maculan and M. Minoux",
  title =        "Approximate one--dimensional minimization of the
                 potential function improves the convergence speed of
                 {Karmarkar}'s method",
  type =         "{Unpublished Manuscript}",
  year =         "1985",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@TechReport{int:Lisser3,
  author =       "A. Lisser and N. Maculan and M. Minoux",
  title =        "Large steps preserving polynomiality in {Karmarkar}'s
                 algorithm",
  type =         "Cahier",
  number =       "77",
  year =         "1987",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@TechReport{int:Lisser4,
  author =       "A. Lisser and M. J. Chifflet",
  title =        "A comparison of projective and affine approaches in
                 interior point methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Centre National d'Etudes des Telecommunications,
                 PAA--ATR",
  address =      "38-40~Rue du General-Leclerc,
                 F-92131~Issy-Les-Moulineaux, France",
}

@TechReport{int:Lisser5,
  author =       "A. Lisser and P. Tolla",
  title =        "An efficient software using the {Karmarkar}'s
                 algorithm",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@PhdThesis{int:Lisser6,
  author =       "A. Lisser",
  title =        "Un logiciel derive de l'algorithme de {Karmarkar}
                 pour la resolution de programmes lineaires de grande
                 taille {(A computational derivation of Karmarkar's
                 algorithm for the solution of large--scaled linear
                 programs)}",
  year =         "1987",
  school =       "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@TechReport{int:Liu1,
  author =       "S. Liu",
  title =        "A long step path--following algorithm for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Liu2,
  author =       "S. Liu and D. Goldfarb",
  title =        "Interior point potential function reduction
                 algorithms for solving convex quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Book{int:Lootsma1,
  author =       "F. A. Lootsma",
  title =        "Numerical Methods for Nonlinear Optimization",
  publisher =    "Academic Press",
  year =         "1972",
  address =      "London, UK",
}

@Article{int:Luss1,
  author =       "H. Luss",
  title =        "Optimization~: {Methodolgy}, algorithms and
                 applications",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "3--6",
}

@TechReport{int:Lustig1,
  author =       "I. J. Lustig",
  title =        "A practical approach to {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  number =       "SOL~85--5",
  year =         "1985",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Lustig2,
  author =       "I. J. Lustig",
  title =        "Identifying an optimal basis of a linear program
                 using an interior point method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig3,
  author =       "I. J. Lustig",
  title =        "A generic primal--dual interior point algorithm",
  type =         "{Technical Report}",
  number =       "SOR~88--3",
  year =         "1988",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig4,
  author =       "I. J. Lustig",
  title =        "An experimental analysis of the convergence rate of
                 an interior point algorithm",
  type =         "{Technical Report}",
  number =       "SOR~88--5",
  year =         "1988",
  month =        mar,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Lustig5,
  author =       "I. J. Lustig",
  title =        "Feasibility issues in an interior point method for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "145--162",
}

@Article{int:Lustig6,
  author =       "I. J. Lustig",
  title =        "An analysis of an available set of linear programming
                 test problems",
  journal =      "Computers and Operations Research",
  volume =       "16",
  year =         "1989",
  pages =        "173--184",
  note =         "Augmented version in the Technical Report SOL~87-11,
                 Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University, Stanford, CA~94305,
                 USA, 1987",
}

@Article{int:Lustig7,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Computational experience with a primal--dual interior
                 point method for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "191--222",
}

@TechReport{int:Lustig8,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Recent computational experience with the primal--dual
                 interior point method for linear programming",
  type =         "{Technical Report}",
  number =       "RRR~46--89",
  year =         "1990",
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Lustig9,
  author =       "I. J. Lustig and J. M. Mulvey and T. J. Carpenter",
  title =        "The formulation of stochastic programs for interior
                 point methods",
  journal =      "Operations Research",
  volume =       "39",
  number =       "5",
  year =         "1991",
  pages =        "757--770",
}

@TechReport{int:Lustig10,
  author =       "I. J. Lustig and D. F. Shanno and J. W. Gregory",
  title =        "The primal--dual interior point method on a {Cray}
                 supercomputer",
  type =         "{Technical Report}",
  number =       "SOR~89--21",
  year =         "1989",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig11,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Recent advances in the {OB1} interior point code",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@InCollection{int:Lustig12,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "The primal--dual interior point method on the {Cray}
                 supercomputer",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "70--80",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Lustig13,
  author =       "I. J. Lustig",
  title =        "An implementation of a strongly polynomial time
                 algorithm for basis recovery",
  type =         "{Technical Report}",
  number =       "(in preparation)",
  year =         "1991",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig14,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "On implementing {Mehrotra}'s predictor--corrector
                 interior point method for linear programming",
  type =         "{Technical Report}",
  number =       "SOR~90--03",
  year =         "1990",
  month =        apr,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@TechReport{int:Lustig15,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Starting and restarting the primal--dual interior
                 point method",
  type =         "{Technical Report}",
  number =       "SOR~90--14",
  year =         "1990",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig16,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "The interaction of algorithms and architectures for
                 interior point methods",
  type =         "{Technical Report}",
  number =       "SOR~91--18",
  year =         "1991",
  month =        jul,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@InCollection{int:Lustig17,
  author =       "I. J. Lustig",
  title =        "Phase~1 search directions for a primal--dual interior
                 point method for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "121--130",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Lustig18,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Interior method vs.\ simplex method~: {Beyond} {\em
                 netlib}",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "41--44",
}

@MastersThesis{int:Maier1,
  author =       "S. Maier",
  title =        "{Primal--duales innere--Punkte--Verfahren mit
                 endlicher Genauigkeit zur L{\"o}sung linearer
                 Programme (A primal--dual interior point method with
                 finite accuracy for solving linear programs)}",
  year =         "1989",
  school =       "Institut f{\"u}r Mathematik der
                 Naturwissenschaftlichen Fakult{\"a}t der
                 Universit{\"a}t Augsburg",
  address =      "D-8900~Augsburg, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:54:20 1995",
}

@TechReport{int:Mangasarian1,
  author =       "O. L. Mangasarian and R. Setiono",
  title =        "Serial and parallel interior proximal point methods
                 for linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@MastersThesis{int:Margraff1,
  author =       "G. Margraff",
  title =        "{Analyse und Modifikation des Karmarkar Verfahrens
                 (Analysis and modification of Karmarkar's algorithm)}",
  year =         "1987",
  school =       "Universit{\"a}t Trier, Fachbereich~IV",
  address =      "D-5500~Trier, Germany",
  note =         "(In German)",
  bibdate =      "Sat Dec 30 09:54:23 1995",
}

@TechReport{int:Marsten1,
  author =       "R. E. Marsten and M. J. Saltzman",
  title =        "A dual--affine interior point algorithm for {LP's}
                 with bounded variables",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Marsten2,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "On implementing {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Marsten3,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "Recent computational experience with the primal--dual
                 interior point method",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322-0205, USA",
}

@TechReport{int:Marsten4,
  author =       "R. E. Marsten and M. J. Saltzman and J. W. Gregory
                 and T. G. Hewitt and D. F. Shanno",
  title =        "The dual affine interior point method for linear
                 programming implementation on {Cray} supercomputers",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322-0205, USA",
}

@Article{int:Marsten5,
  author =       "R. E. Marsten and M. J. Saltzman and D. F. Shanno and
                 J. F. Ballintijn and G. S. Pierce",
  title =        "Implementation of a dual affine interior point
                 algorithm for linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "287--297",
}

@Article{int:Marsten6,
  author =       "R. E. Marsten and R. Subramaniam and M. J. Saltzman
                 and I. J. Lustig and D. F. Shanno",
  title =        "Interior point methods for linear programming~: {Just
                 call Newton, Lagrange, and Fiacco and McCormick~!}",
  journal =      "Interfaces",
  volume =       "20",
  number =       "4",
  year =         "1990",
  pages =        "105--116",
}

@TechReport{int:Marsten7,
  author =       "R. E. Marsten",
  title =        "The {IMP System} on personal computers",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Marsten8,
  author =       "R. E. Marsten",
  title =        "Interior point methods for large scale linear
                 programming",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322-0205, USA",
}

@TechReport{int:Marsten9,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "Interior point methods for linear programming~:
                 {Ready} for production use",
  type =         "{Workshop at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "School of Industrial and System Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322, USA",
}

@TechReport{int:Martinhon1,
  author =       "C. Martinhon and C. C. Gonzaga",
  title =        "A unified analysis of affine and projective primal
                 potential reduction algorithms for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Marxen1,
  author =       "A. Marxen",
  title =        "Primal barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~89--6",
  year =         "1989",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@PhdThesis{int:Marxen2,
  author =       "A. Marxen",
  title =        "Primal barrier methods for linear programming",
  year =         "1989",
  school =       "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Masuzawa1,
  author =       "K. Masuzawa and S. Mizuno and M. Mori",
  title =        "A polynomial time interior point algorithm for
                 minimum cost flow problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "157--167",
}

@Article{int:McDiarmid1,
  author =       "C. McDiarmid",
  title =        "On the improvement per iteration in {Karmarkar}'s
                 method for linear programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "299--320",
}

@TechReport{int:McDiarmid2,
  author =       "C. McDiarmid",
  title =        "Why {Karmarkar}'s method is fast~?",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Institute of Economics and Statistics, St. Cross
                 Building, Oxford University",
  address =      "Oxford~OX1~3UL, UK",
}

@Article{int:McQueen1,
  author =       "J. F. McQueen",
  title =        "Symposium on {Karmarkar}'s algorithm and related
                 algorithms for linear programming",
  journal =      "Bulletin of the Institute of Mathematics and Its
                 Applications",
  volume =       "21",
  year =         "1985",
  pages =        "154--155",
}

@Article{int:McShane1,
  author =       "K. A. McShane and C. L. Monma and D. F. Shanno",
  title =        "An implementation of a primal--dual interior point
                 method for linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "70--83",
}

@TechReport{int:McShane2,
  author =       "K. A. McShane",
  title =        "A superlinearly convergent ${O(\sqrt{n}L)}$ iteration
                 primal--dual linear programming algorithm",
  type =         "Manuscript",
  year =         "1991",
  address =      "2537~Villanova Drive, Vienna, Virginia, USA",
}

@TechReport{int:Megiddo1,
  author =       "N. Megiddo",
  title =        "A variation on {Karmarkar}'s algorithm",
  type =         "{Preliminary Report}",
  year =         "1985",
  institution =  "IBM Research Division, Almaden Research Center",
  address =      "San Jose, CA~95120-6099, USA",
}

@Book{int:Megiddo2,
  author =       "N. Megiddo",
  title =        "New Approaches to Linear Programming",
  year =         "1986",
  series =       "Algorithmica",
  volume =       "1(4)",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:25 1995",
}

@Article{int:Megiddo3,
  author =       "N. Megiddo",
  title =        "Introduction~: {New} approaches to linear
                 programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "387--394",
}

@Article{int:Megiddo4,
  author =       "N. Megiddo",
  title =        "Linear programming~(1986)",
  journal =      "Annual Review of Computer Science",
  volume =       "2",
  year =         "1987",
  pages =        "119--145",
}

@TechReport{int:Megiddo5,
  author =       "N. Megiddo",
  title =        "Report on the conference~: {Progress} in mathematical
                 programming",
  type =         "{Technical Report}",
  number =       "RJ~5923",
  year =         "1987",
  month =        oct,
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@InCollection{int:Megiddo6,
  author =       "N. Megiddo",
  title =        "On the complexity of linear programming",
  booktitle =    "Advances in Economic Theory---The Fifth World
                 Congress",
  series =       "Econometric Society Monographs",
  volume =       "12",
  publisher =    "Cambridge University Press",
  address =      "Cambridge, UK",
  editor =       "T. F. Bewley",
  year =         "1987",
  pages =        "225--258",
}

@InCollection{int:Megiddo7,
  author =       "N. Megiddo",
  title =        "On solving the linear programming problem
                 approximately",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "35--50",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Megiddo8,
  author =       "N. Megiddo",
  title =        "Switching from a primal--dual {Newton} algorithm to a
                 primal--dual (interior) simplex algorithm",
  type =         "{Technical Report}",
  number =       "RJ~6327",
  year =         "1988",
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@Article{int:Megiddo9,
  author =       "N. Megiddo",
  title =        "On finding primal-- and dual--optimal bases",
  journal =      "ORSA Journal on Computing",
  volume =       "3",
  year =         "1991",
  pages =        "63--65",
}

@Book{int:Megiddo10,
  author =       "N. Megiddo",
  title =        "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  year =         "1989",
}

@InCollection{int:Megiddo11,
  author =       "N. Megiddo",
  title =        "Pathways to the optimal set in linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "131--158",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  note =         "Identical version in~: {\em Proceedings of the 6th
                 Mathematical Programming Symposium of Japan, Nagoya,
                 Japan}, pages 1--35, 1986",
}

@Article{int:Megiddo12,
  author =       "N. Megiddo and M. Shub",
  title =        "Boundary behavior of interior point algorithms in
                 linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "14",
  year =         "1987",
  pages =        "97--114",
}

@TechReport{int:Mehrotra1,
  author =       "S. Mehrotra",
  title =        "A self--correcting version of {Karmarkar}'s
                 algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research",
  address =      "Columbia University, New York, NY~10027, USA",
}

@PhdThesis{int:Mehrotra2,
  author =       "S. Mehrotra",
  title =        "Variants of {Karmarkar}'s algorithm~: {Theoretical}
                 complexity and practical implementation",
  year =         "1987",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Reseach, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Mehrotra3,
  author =       "S. Mehrotra",
  title =        "Implementation of some interior point methods for
                 linear programming~: {Recent} developments",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra4,
  author =       "S. Mehrotra",
  title =        "On implementation of interior point methods for
                 linear programming~: {Karmarkar}'s preconditioners",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra5,
  author =       "S. Mehrotra",
  title =        "Implementation of affine scaling methods~:
                 {Approximate} solutions of systems of linear equations
                 using preconditioned conjugate gradient methods",
  type =         "{Technical Report}",
  number =       "89--04",
  month =        aug,
  year =         "1989",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra6,
  author =       "S. Mehrotra",
  title =        "Implementation of affine scaling methods~: {Towards}
                 faster implementations with complete {Cholesky} factor
                 in use",
  type =         "{Technical Report}",
  number =       "89--15",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Mehrotra7,
  author =       "S. Mehrotra",
  title =        "On finding a vertex solution using interior point
                 methods",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "233--253",
}

@TechReport{int:Mehrotra8,
  author =       "S. Mehrotra",
  title =        "On an implementation of the primal--dual
                 predictor--corrector algorithms",
  type =         "{Talk held at the Second Asilomar Workshop on
                 Progress in Mathematical Programming, Asilomar, CA,
                 USA}",
  year =         "1990",
  month =        feb,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra9,
  author =       "S. Mehrotra",
  title =        "Implementations of affine scaling methods~:
                 {Speeding} up the computation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra10,
  author =       "S. Mehrotra",
  title =        "On the implementation of a (primal--dual) interior
                 point method",
  type =         "{Technical Report}",
  number =       "90--03",
  year =         "1990",
  month =        mar,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
  note =         "Revised June 1990",
}

@Article{int:Mehrotra11,
  author =       "S. Mehrotra and J. Sun",
  title =        "A method of analytic centers for quadratically
                 constrained convex quadratic programs",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "28",
  number =       "2",
  year =         "1991",
  pages =        "529--544",
}

@InCollection{int:Mehrotra12,
  author =       "S. Mehrotra and J. Sun",
  title =        "An interior point algorithm for solving smooth convex
                 programs based on {Newton}'s method",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "265--284",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Mehrotra13,
  author =       "S. Mehrotra and J. Sun",
  title =        "On computing the center of a quadratically
                 constrained set",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "81--89",
}

@Article{int:Mehrotra14,
  author =       "S. Mehrotra and J. Sun",
  title =        "An algorithm for convex quadratic programming that
                 requires ${O(n^{3.5}L)}$ arithmetic operations",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "342--363",
}

@TechReport{int:Mehrotra15,
  author =       "S. Mehrotra and J. Sun",
  title =        "Path--following methods for convex programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra16,
  author =       "S. Mehrotra",
  title =        "Generalized prediction--corrector methods for solving
                 linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra17,
  author =       "S. Mehrotra",
  title =        "Higher--order methods for solving linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra18,
  author =       "S. Mehrotra",
  title =        "Handling free variables in interior methods",
  type =         "{Technical Report}",
  number =       "91--06",
  year =         "1991",
  month =        mar,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra19,
  author =       "S. Mehrotra",
  title =        "Finite termination and superlinear convergence in
                 primal--dual methods",
  type =         "{Technical Report}",
  number =       "91--13",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra20,
  author =       "S. Mehrotra",
  title =        "Higher order methods and their performance",
  type =         "{Technical Report}",
  number =       "TR~90--16R1",
  year =         "1990",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
  note =         "Revised July 1991",
}

@TechReport{int:Mehrotra21,
  author =       "S. Mehrotra and Y. Ye",
  title =        "On finding the optimal facet of linear programs",
  type =         "{Technical Report}",
  number =       "TR~91--10",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra22,
  author =       "S. Mehrotra",
  title =        "Deferred rank--one updates in ${O(n^{3}L)}$ interior
                 point algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Meketon1,
  author =       "M. S. Meketon and R. J. Vanderbei",
  title =        "Degeneracy issues in the affine scaling algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@InCollection{int:Meketon2,
  author =       "M. S. Meketon",
  title =        "Optimization in simulation~: {A} survey of recent
                 results",
  booktitle =    "Proceedings of the Winter Simulation Conference held
                 in Atlanta, GA~30322, USA,December 1987",
  editor =       "A. Thesen and H. Grant and W. D. Kelton",
  year =         "1987",
  pages =        "58--67",
  publisher =    "ACM Press",
  address =      "New York, NY, USA",
}

@TechReport{int:Meketon3,
  author =       "M. S. Meketon",
  title =        "Least absolute value regression",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Mennicken1,
  author =       "J. Mennicken",
  title =        "Implementation of a first order central path
                 following algorithm for solving large linear programs",
  type =         "{Technical Report}",
  number =       "202",
  year =         "1990",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:26 1995",
}

@TechReport{int:Meyer1,
  author =       "R. R. Meyer and G. L. Schultz",
  title =        "Structured interior point methods for multicommodity
                 flows",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@InCollection{int:Miagen1,
  author =       "S. Miagen and T. Miyazaki",
  title =        "Implementation and numerical experiments on an
                 interior--point algorithm for linear programming",
  booktitle =    "Proceedings of the InfoJapan~'90\ : Information
                 Technology Harmonizing with Society, Tokyo, Japan,
                 Oct.\ 1990",
  volume =       "1",
  year =         "1990",
  pages =        "19--25",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Minoux1,
  author =       "M. Minoux",
  title =        "New suggested implementation of {Karmarkar}'s
                 algorithm",
  type =         "Cahier",
  number =       "71",
  year =         "1986",
  month =        may,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@PhdThesis{int:Mitchell1,
  author =       "J. E. Mitchell",
  title =        "Karmarkar's algorithm and combinatorial optimization
                 problems",
  year =         "1988",
  school =       "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
}

@InCollection{int:Mitchell2,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "On the relationship between the search directions in
                 the affine and projective variants of {Karmarkar}'s
                 linear programming algorithm",
  booktitle =    "Contributions to Operations Research and Economics~:
                 The Twentieth Anniversary of CORE",
  editor =       "B. Cornet and H. Tulkens",
  year =         "1989",
  pages =        "237--250",
  publisher =    "M.I.T. Press",
  address =      "Cambridge, MA, USA",
}

@TechReport{int:Mitchell3,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving linear ordering problems using {Karmarkar}'s
                 algorithm",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
}

@Article{int:Mitchell4,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "A variant of {Karmarkar}'s linear programming
                 algorithm for problems with some unrestricted
                 variables",
  journal =      "SIAM Journal on Matrix Analysis and Applications",
  volume =       "10",
  year =         "1989",
  pages =        "30--38",
}

@TechReport{int:Mitchell5,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {Karmarkar}'s algorithm, {Part~I}~: {Theory}",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
}

@TechReport{int:Mitchell6,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {Karmarkar}'s algorithm, {Part~II}~: {Computational}
                 results",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
}

@TechReport{int:Mitchell7,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving perfect matching problems using {Karmarkar}'s
                 algorithm",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180-3590, USA",
}

@TechReport{int:Mitchell8,
  author =       "J. E. Mitchell",
  title =        "An interior point column generation method for linear
                 programming with shifted barriers",
  type =         "{RPI Technical Report}",
  number =       "191",
  year =         "1988",
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180-3590, USA",
}

@TechReport{int:Mitchell9,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  year =         "1990",
  month =        may,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
  note =         "Revised February 1991",
}

@InCollection{int:Mitchell10,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving matching problems using {Karmarkar}'s
                 algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "309--318",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Mitchell11,
  author =       "J. E. Mitchell",
  title =        "A note on updating lower bounds when using
                 {Karmarkar}'s projective algorithm for linear
                 programming",
  type =         "{RPI Technical Report}",
  number =       "190",
  year =         "1990",
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180-3590, USA",
}

@TechReport{int:Mitchell12,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Two variants of {Karmarkar}'s linear programming
                 algorithm for problems with some unrestricted
                 variables",
  type =         "{Technical Report}",
  number =       "741",
  year =         "1987",
  month =        "",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853-7501, USA",
}

@TechReport{int:Mitchell13,
  author =       "J. E. Mitchell",
  title =        "An interior point column generation method for linear
                 programming using shifted barriers",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180-3590, USA",
}

@InCollection{int:Mitra1,
  author =       "G. Mitra and M. Tamiz and J. Yadegar",
  title =        "A hybrid algorithm for linear programming",
  booktitle =    "Simulation and Optimization of Large Systems",
  editor =       "A. J. Osiadacz",
  year =         "1988",
  pages =        "143--159",
  series =       "The Institute of Mathematics and Its Applications
                 Conference Series",
  volume =       "13",
  publisher =    "Clarendon Press",
  address =      "Oxford, UK",
}

@Article{int:Mitra2,
  author =       "G. Mitra and M. Tamiz and J. Yadegar",
  title =        "Experimental investigation of an interior search
                 method within a simplex framework",
  journal =      "Communications of the ACM",
  volume =       "31",
  number =       "12",
  year =         "1988",
  pages =        "1474--1482",
}

@Article{int:Mizuno1,
  author =       "S. Mizuno",
  title =        "An ${O(n^{3}L)}$ algorithm using a sequence for
                 linear complementarity problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "66--75",
}

@Article{int:Mizuno2,
  author =       "S. Mizuno",
  title =        "A rank--one updating interior algorithm for linear
                 programming",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "671--677",
}

@Article{int:Mizuno3,
  author =       "S. Mizuno and K. Masuzawa",
  title =        "Polynomial time interior point algorithms for
                 transportation problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "371--382",
}

@TechReport{int:Mizuno4,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of path--following algorithms
                 for linear programming",
  type =         "{Technical Report}",
  number =       "878",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Mizuno5,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of long--step algorithms for
                 linear programming",
  type =         "{Technical Report}",
  number =       "882",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Mizuno6,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of interior point algorithms for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@Article{int:Mizuno7,
  author =       "S. Mizuno and A. Yoshise and T. Kikuchi",
  title =        "Practical polynomial time algorithms for linear
                 complementarity problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "75--92",
}

@TechReport{int:Mizuno8,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "On adaptive step primal--dual interior--point
                 algorithms for linear programming",
  type =         "{Technical Report}",
  number =       "944",
  year =         "1990",
  month =        oct,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Mathematics of Operations
                 Research}",
}

@TechReport{int:Mizuno9,
  author =       "S. Mizuno",
  title =        "A new polynomial time method for a linear
                 complementarity problem",
  type =         "{Technical Report}",
  number =       "16",
  year =         "1989",
  institution =  "Dept.\ of Management Science and Engineering, Tokyo
                 Institute of Technology",
  address =      "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@Article{int:Mizuno10,
  author =       "S. Mizuno",
  title =        "{$O(n^{\rho}L)$} iteration {$O(n^{3}L)$} potential
                 reduction algorithms for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "155--168",
}

@TechReport{int:Mizuno11,
  author =       "S. Mizuno and M. J. Todd",
  title =        "An {$O(n^{3}L)$} long step path following algorithm
                 for a linear complementarity problem",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@TechReport{int:Mizuno12,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of long step algorithms for
                 linear programming",
  type =         "{Technical Report}",
  number =       "24",
  year =         "1989",
  institution =  "Dept.\ of Management Science and Engineering, Tokyo
                 Institute of Technology",
  address =      "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@TechReport{int:Mizuno13,
  author =       "S. Mizuno and M. J. Todd",
  title =        "An {$O(n^{3}L)$} adaptive path following algorithm
                 for a linear complementarity problem",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
}

@TechReport{int:Monma1,
  author =       "C. L. Monma",
  title =        "Recent breakthroughs in linear programming methods",
  type =         "{Internal Memorandum}",
  year =         "1987",
  institution =  "Bell Communications Research",
  address =      "Morristown, NJ~07960, USA",
}

@Article{int:Monma2,
  author =       "C. L. Monma",
  title =        "Successful implementations of interior algorithms",
  journal =      "SIAM News",
  volume =       "22",
  number =       "2",
  year =         "1989",
  month =        mar,
  pages =        "14--16",
}

@Article{int:Monma3,
  author =       "C. L. Monma and A. J. Morton",
  title =        "Computational experience with the dual affine variant
                 of {Karmarkar}'s method for linear programming",
  journal =      "Operations Research Letters",
  volume =       "6",
  year =         "1987",
  pages =        "261--267",
}

@TechReport{int:Monteiro1,
  author =       "R. D. C. Monteiro",
  title =        "On the continuous trajectories for a potential
                 reduction algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Monteiro2,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "An ${O(n^{3}L)}$ primal--dual interior point
                 algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "ORC~87--4",
  year =         "1987",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Monteiro3,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "Interior path following primal--dual algorithms~:
                 {Part~I~: L}inear programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "27--41",
}

@Article{int:Monteiro4,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "Interior path following primal--dual algorithms~:
                 {Part~II~: C}onvex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "43--66",
}

@Article{int:Monteiro5,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "An extension of {Karmarkar}--type algorithm to a
                 class of convex separable programming problems with
                 global linear rate of convergence",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "408--422",
}

@TechReport{int:Monteiro6,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "A polynomial primal--dual affine algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Engineering Systems Research Center, University of
                 California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Monteiro7,
  author =       "R. D. C. Monteiro and I. Adler and M. G. C. Resende",
  title =        "A polynomial--time primal--dual affine scaling
                 algorithm for linear and convex quadratic programming
                 and its power series extension",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "191--214",
}

@TechReport{int:Monteiro8,
  author =       "R. D. C. Monteiro",
  title =        "An implementation of range analysis for {LP} problems
                 solved via interior point methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@InCollection{int:Monteiro9,
  author =       "R. D. C. Monteiro",
  title =        "Convergence and boundary behavior of the projective
                 scaling trajectories for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "213--229",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Morin1,
  author =       "T. L. Morin and B. Haas and T. B. Trafalis",
  title =        "Implementation of an interior point algorithm for
                 multiobjective optimization",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Morin2,
  author =       "T. L. Morin and T. B. Trafalis",
  title =        "A polynomial--time algorithm for finding an efficient
                 face of a polyhedron",
  type =         "{Technical Report}",
  year =         "1989",
  month =        "",
  institution =  "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Morshedi1,
  author =       "A. M. Morshedi and R. A. Tapia",
  title =        "Karmarkar as a classical method",
  type =         "{Technical Report}",
  number =       "TR~87--7",
  year =         "1987",
  month =        aug,
  institution =  "Rice University, Dept.\ of Mathematical Sciences",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Mueller1,
  author =       "H. M{\"u}ller--Merbach",
  title =        "Right through the interior with the simplex
                 technique",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "University of Kaiserslautern",
  address =      "D-6100~Kaiserslautern, Germany",
  bibdate =      "Sat Dec 30 09:54:28 1995",
}

@TechReport{int:Mulvey1,
  author =       "J. M. Mulvey and A. Ruszczynski",
  title =        "A diagonal quadratic approximation method for large
                 scale linear programs",
  type =         "{Technical Report}",
  number =       "SOR~90--08",
  year =         "1990",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Mulvey2,
  author =       "J. M. Mulvey and A. Ruszczynski",
  title =        "A parallel interior point method for multistage
                 stochastic optimization",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@InCollection{int:Murray1,
  author =       "W. Murray",
  title =        "Methods for large--scale linear programming",
  booktitle =    "Algorithms and Model Formulations in Mathematical
                 Programming",
  editor =       "S. W. Wallace",
  series =       "NATO ASI Series",
  volume =       "F51",
  year =         "1989",
  pages =        "115--137",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:28 1995",
}

@TechReport{int:Murray2,
  author =       "S. Murray",
  title =        "An interior point conjugate gradient approach to the
                 generalized flow problem with costs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Operations Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Murray3,
  author =       "W. Murray and M. H. Wright",
  title =        "Line search procedures for the logarithmic barrier
                 function",
  type =         "Manuscript",
  year =         "1991",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Murty1,
  author =       "K. G. Murty and Y. Fathi",
  title =        "A feasible direction method for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Boston, MA, USA}",
  year =         "1985",
  month =        apr,
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@TechReport{int:Murty2,
  author =       "K. G. Murty",
  title =        "A new interior variant of the gradient projection
                 method for linear programming",
  type =         "{Technical Report}",
  number =       "85--18",
  year =         "1985",
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@Article{int:Murty3,
  author =       "K. G. Murty",
  title =        "The gravitational method for linear programming",
  journal =      "Journal of the Operational Research Society of India
                 (Opsearch)",
  volume =       "23",
  year =         "1986",
  pages =        "206--214",
}

@InBook{int:Murty4,
  author =       "K. G. Murty",
  title =        "Linear complementarity, linear and nonlinear
                 programming",
  chapter =      "11.4.1~: {The Karmarkar's algorithm for linear
                 programming}",
  pages =        "469--494",
  series =       "Sigma Series in Applied Mathematics",
  volume =       "3",
  publisher =    "Heldermann Verlag",
  address =      "Nassauische~Str.~26, D-1000~Berlin~31,
                 Germany",
  year =         "1988",
  bibdate =      "Sat Dec 30 09:54:28 1995",
}

@InBook{int:Murty5,
  author =       "K. G. Murty",
  title =        "Linear complementarity, linear and nonlinear
                 programming",
  chapter =      "11.4.4~: {The gravitational method for linear
                 programming}",
  pages =        "498--506",
  series =       "Sigma Series in Applied Mathematics",
  volume =       "3",
  publisher =    "Heldermann Verlag",
  address =      "Nassauische~Str.~26, D-1000~Berlin~31,
                 Germany",
  year =         "1988",
  bibdate =      "Sat Dec 30 09:54:28 1995",
}

@Article{int:Nash1,
  author =       "S. G. Nash",
  title =        "Optimization at {ICIAM~'91}",
  journal =      "SIAM News",
  volume =       "24",
  number =       "5",
  year =         "1991",
  month =        sep,
  pages =        "16",
}

@TechReport{int:Nazareth1,
  author =       "J. L. Nazareth",
  title =        "Karmarkar's method and homotopies with restart",
  type =         "{CDSS Report}",
  year =         "1985",
  institution =  "University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Nazareth2,
  author =       "J. L. Nazareth",
  title =        "Homotopy techniques in linear programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "529--535",
}

@InCollection{int:Nazareth3,
  author =       "J. L. Nazareth",
  title =        "Pricing criteria in linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "105--130",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:30 1995",
}

@TechReport{int:Nazareth4,
  author =       "J. L. Nazareth",
  title =        "Some parallels in the historical development of the
                 simplex and interior point methods for linear
                 programming",
  type =         "{Mathematics Note}",
  year =         "19..(?)",
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164-2930, USA",
}

@Article{int:Nazareth5,
  author =       "J. L. Nazareth",
  title =        "The homotopy principle and algorithms for linear
                 programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "3",
  year =         "1991",
  pages =        "316--332",
}

@InBook{int:Nemhauser1,
  author =       "G. L. Nemhauser and L. A. Wolsey",
  title =        "Integer and Combinatorial Optimization",
  chapter =      "I.6.4~: {A} projective algorithm for linear
                 programming",
  pages =        "164--172",
  publisher =    "John Wiley \& Sons",
  address =      "New York, NY, USA",
  year =         "1988",
}

@Article{int:Nemirovskiy1,
  author =       "A. S. Nemirovskiy",
  title =        "An algorithm of the {Karmarkar} type",
  journal =      "Teknicheskaya Kibernetika",
  volume =       "1",
  year =         "1987",
  pages =        "105--118",
  note =         "Translated in~: {\em Soviet Journal on Computers and
                 System Sciences}, 25(5):61--74, 1987",
}

@Article{int:Nemirovskiy2,
  author =       "A. S. Nemirovskiy",
  title =        "An new polynomial algorithm for linear programming",
  journal =      "Doklady Akademii Nauk SSSR",
  volume =       "298",
  number =       "6",
  year =         "1988",
  pages =        "1321--1325",
  note =         "Translated in~: {\em Soviet Mathematics Doklady},
                 37(1): 264--269, 1988",
}

@Article{int:Nesterov1,
  author =       "Y. Y. Nesterov",
  title =        "Polynomial methods in the linear and quadratic
                 programming",
  journal =      "Teknicheskaya Kibernetika",
  volume =       "3",
  year =         "1988",
  pages =        "3--6",
  note =         "Translated in~: {\em Soviet Journal on Computers and
                 System Sciences}, 26:98--101, 1988",
}

@Article{int:Nesterov2,
  author =       "Y. Y. Nesterov",
  title =        "Polynomial--time dual algorithms for linear
                 programming",
  journal =      "Kibernetika",
  volume =       "25",
  number =       "1",
  year =         "1989",
  pages =        "34--40",
  note =         "Translated in~: {\em Cybernetics}, 25(1):40--49,
                 1989",
}

@Article{int:Nesterov3,
  author =       "Y. Y. Nesterov and A. S. Nemirovsky",
  title =        "Acceleration and parallelization of the
                 path--following interior point method for a linearly
                 constrained convex quadratic problem",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "4",
  year =         "1991",
  pages =        "548--564",
}

@TechReport{int:Neumann1,
  author =       "{J. von} Neumann",
  title =        "On a maximization problem",
  type =         "Manuscript",
  year =         "1947",
  institution =  "Institute for Advanced Studies, Princeton University",
  address =      "Princeton, NJ 08544, USA",
}

@Article{int:Nickel1,
  author =       "W. Nickel and W. R{\"o}dder and L. Xu and H. J.
                 Zimmermann",
  title =        "Intelligent gradient search in linear programming",
  journal =      "European Journal of Operational Research",
  volume =       "22",
  year =         "1985",
  pages =        "293--303",
}

@TechReport{int:Noma1,
  author =       "T. Noma and N. Megiddo and M. Kojima and A. Yoshise",
  title =        "Some classes of linear complementarity problems that
                 can be processed by interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@TechReport{int:Noma2,
  author =       "T. Noma and M. Kojima",
  title =        "A global, convergent iterative algorithm for
                 complementarity problems",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@PhdThesis{int:Noma3,
  author =       "T. Noma",
  title =        "A globally convergent iterative algorithm for
                 complementarity problems~: {A} modification of
                 interior point algorithms for linear complementarity
                 problems",
  year =         "1991",
  school =       "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}

@PhdThesis{int:Nunez1,
  author =       "M. A. {Nunez Araya}",
  title =        "Experiments using variants of {Dikin's} ellipsoid
                 method for solving mathematical programs",
  year =         "1990",
  school =       "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Nurminskii1,
  author =       "E. A. Nurminskii and S. K. Andrusenko and P. I.
                 Stetsyuk",
  title =        "A new polynomial algorithm for linear programming",
  journal =      "Kibernetika (Kiev)",
  volume =       "4",
  year =         "1985",
  pages =        "118--120, 136",
  note =         "(In Russian, English summary)",
}

@InCollection{int:Oohori1,
  author =       "T. Oohori and A. Ohuchi",
  title =        "Symbolic generation of an optimal {Karmarkar}'s
                 algorithm for sparse linear programs",
  booktitle =    "System Modelling and Optimization~: Proceedings of
                 the 14th IFIP--Confernce, Leipzig, East Germany, July
                 1989",
  editor =       "H. J. Sebastian and K. Tammer",
  year =         "1990",
  pages =        "194--203",
  series =       "Lecture Notes in Control and Information Science",
  volume =       "143",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:54 1995",
}

@Article{int:Osborne1,
  author =       "M. R. Osborne",
  title =        "Dual barrier functions with superfast rates of
                 convergence for the linear programming problem",
  journal =      "Journal of the Australian Mathematical Society,
                 Ser.~B",
  volume =       "29",
  year =         "1987",
  pages =        "39--58",
}

@Article{int:Osborne2,
  author =       "M. R. Osborne",
  title =        "An interior point method for linear programming",
  journal =      "Journal of the Australian Mathematical Society,
                 Ser.~B",
  volume =       "31",
  year =         "1990",
  pages =        "367--378",
}

@TechReport{int:Padberg1,
  author =       "M. W. Padberg",
  title =        "Solution of a nonlinear programming problem arising
                 in the projective method for linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  month =        mar,
  institution =  "School of Business and Administration, New York
                 University",
  address =      "New York, NY~10003, USA",
  note =         "To appear in {\em SIAM Journal on Control and
                 Optimization}",
}

@Article{int:Padberg2,
  author =       "M. W. Padberg",
  title =        "A different convergence proof of the projective
                 method for linear programming",
  journal =      "Operations Research Letters",
  volume =       "4",
  year =         "1986",
  pages =        "253--257",
}

@TechReport{int:Pai1,
  author =       "R. Pai and N. K. Karmarkar and {S. S.} S. P. Rao",
  title =        "A global router based on {Karmarkar}'s interior point
                 method",
  type =         "{CSE Technical Report}",
  year =         "1988",
  month =        apr,
  institution =  "Indian Institute of Technology",
  address =      "Bombay, India",
}

@Article{int:Pan1,
  author =       "V. Pan",
  title =        "The modified barrier function method for linear
                 programming and its extension",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "3",
  year =         "1990",
  pages =        "1--14",
}

@Article{int:Pan2,
  author =       "V. Pan and J. Reif",
  title =        "Efficient parallel linear programming",
  journal =      "Operations Research Letters",
  volume =       "5",
  year =         "1986",
  pages =        "127--135",
}

@Article{int:Pan3,
  author =       "V. Pan and J. Reif",
  title =        "Fast and efficient linear programming and linear
                 least--squares computations",
  journal =      "Computers and Mathematics with Applications Ser.~A",
  volume =       "12",
  year =         "1986",
  pages =        "1217--1227",
}

@TechReport{int:Pardalos1,
  author =       "P. M. Pardalos",
  title =        "Interior point algorithms for nonconvex quadratic
                 problems",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos2,
  author =       "P. M. Pardalos and C. G. Han and Y. Ye",
  title =        "Computational aspects of an interior point algorithm
                 for quadratic problems with box constraints",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos3,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "Parallel computing in quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Pardalos4,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "Algorithms for the solution of quadratic knapsack
                 problems",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "69--91",
}

@InCollection{int:Pardalos5,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "An interior point algorithm for large--scale
                 quadratic problems with box constraints",
  booktitle =    "Analysis and Optimization of Systems~: Proceedings of
                 the 9th International Conference, Antibes, France,
                 1990",
  editor =       "A. Bensoussan and J. L. Lions",
  year =         "1990",
  pages =        "413--422",
  series =       "Lecture Notes in Control and Information Science",
  volume =       "144",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:30 1995",
}

@Article{int:Pardalos6,
  author =       "P. M. Pardalos",
  title =        "Polynomial time algorithms for some classes of
                 constrained nonconvex quadratic problems",
  journal =      "Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "843--853",
}

@TechReport{int:Pardalos7,
  author =       "P. M. Pardalos and C. G. Han and J. A. Kaliski and Y.
                 Ye",
  title =        "Solution of quadratic programming and linear
                 complementarity problems using a potential reduction
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos8,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han and J. A.
                 Kaliski",
  title =        "Solution of {$P_{0}$}--matrix linear complementarity
                 problems using a potential reduction algorithm",
  type =         "{Technical Report}",
  number =       "CS--90--32",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
  note =         "To appear in {\em SIAM Journal on Matrix Analysis and
                 Applications, 1991}",
}

@Article{int:Pardalos9,
  author =       "P. M. Pardalos and C. G. Han and Y. Ye",
  title =        "Interior--point algorithms for solving nonlinear
                 optimization problems",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "45--54",
}

@Article{int:Paris1,
  author =       "Q. Paris",
  title =        "A primer on {Karmarkar}'s algorithm for linear
                 programming",
  journal =      "METU Studies in Develpoment",
  volume =       "12",
  number =       "1--2",
  year =         "1985",
  pages =        "131--155",
}

@Article{int:Parisot1,
  author =       "G. R. Parisot",
  title =        "Resolution numerique approchee du probleme de
                 programmation lineaire par application de la
                 programmation logarithmique {(Approximate numerical
                 solution of linear programming problems by an
                 application of the logarithmic programming)}",
  journal =      "Revue Francaise Recherche Operationelle",
  volume =       "20",
  year =         "1961",
  pages =        "227--259",
  note =         "(In French)",
}

@InBook{int:Parker1,
  author =       "R. G. Parker and R. L. Rardin",
  title =        "Discrete Optimization",
  chapter =      "4.1.3~: {Karmarkar}'s projection scaling algorithm",
  year =         "1988",
  pages =        "117--131",
  publisher =    "Academic Press",
  address =      "New York, NY, USA",
}

@Article{int:Philpott1,
  author =       "A. B. Philpott",
  title =        "Linear programming made simpler than simplex",
  journal =      "New Scientist",
  year =         "1984",
  month =        "December 6,",
  pages =        "20",
}

@TechReport{int:Pickel1,
  author =       "P. F. Pickel",
  title =        "Approximate projections for the {Karmarkar}
                 algorithm",
  type =         "Manuscript",
  year =         "1985",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@TechReport{int:Pickel2,
  author =       "P. F. Pickel",
  title =        "Implementing the {Karmarkar} algorithm using simplex
                 techniques",
  type =         "{Talk held at the 12th International Symposium on
                 Mathematical Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@TechReport{int:Pickel3,
  author =       "P. F. Pickel",
  title =        "Preliminary computational experience with approximate
                 projections in the {Karmarkar} algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@TechReport{int:Polyak1,
  author =       "R. Polyak",
  title =        "Modified interior distance function in linear
                 programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak2,
  author =       "R. Polyak",
  title =        "Interior point methods, nonlinear and parallel
                 optimization",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak3,
  author =       "R. Polyak",
  title =        "Modified barrier function~: {Theory} and practice",
  type =         "{Technical Report}",
  number =       "RC~15886",
  year =         "1990",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak4,
  author =       "R. Polyak",
  title =        "Modified barrier functions in linear programming",
  type =         "{Collected Abstracts}",
  year =         "1988",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak5,
  author =       "R. Polyak",
  title =        "The nonlinear rescaling principle in linear
                 programming",
  type =         "{Technical Report}",
  number =       "RC~15030~(67093)",
  year =         "1989",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@Article{int:Polyak6,
  author =       "R. Polyak",
  title =        "Modified barrier and center methods",
  journal =      "Reports from the Moscow Refusnik Seminar, Annals of
                 the New York Academy of Sciences",
  volume =       "491",
  year =         "1987",
  pages =        "194--196",
}

@PhdThesis{int:Ponceleon1,
  author =       "D. B. Ponceleon",
  title =        "Barrier methods for large--scale quadratic
                 programming",
  year =         "1990",
  school =       "Computer Science Department, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ponceleon2,
  author =       "D. B. Ponceleon",
  title =        "Barrier methods for large--scale quadratic
                 programming",
  type =         "{Technical Report}",
  number =       "SOL~91--2",
  year =         "1991",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ponnambalam1,
  author =       "K. Ponnambalam",
  title =        "Large scale nonlinear programming using interior
                 point and successive linear programming methods",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Ponnambalam2,
  author =       "K. Ponnambalam and A. Vannelli",
  title =        "New starting and stopping steps for the dual affine
                 variant of {Karmarkar}'s method",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Ponnambalam3,
  author =       "K. Ponnambalam and A. Vannelli",
  title =        "An inexpensive basis recovery procedure for
                 {Karmarkar}'s dual affine method",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Ponnambalam4,
  author =       "K. Ponnambalam and A. Vannelli and T. E. Unny",
  title =        "An application of {Karmarkar}'s interior point linear
                 programming algorithm for multi--reservoir operations
                 optimization",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
  note =         "To appear in {\em Stochastic Hydrology and
                 Hydraulics}",
}

@TechReport{int:Ponnambalam5,
  author =       "K. Ponnambalam",
  title =        "An interior point algorithm for large scale nonlinear
                 programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@InCollection{int:Ponnambalam6,
  author =       "K. Ponnambalam and S. Seetharaman and T. Alguindigue",
  title =        "Affine algorithms for {$L$}--minimization",
  booktitle =    "Proceedings of the Sixth Multidimensional Signal
                 Processing Workshop held in Pacific Grove, CA, USA,
                 September 1989",
  year =         "1989",
  pages =        "115",
  publisher =    "IEEE",
  address =      "New York, NY, USA",
}

@TechReport{int:Poore1,
  author =       "A. B. Poore and D. Soria",
  title =        "Continuation algorithms for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Mathematics, Colorado State University",
  address =      "Fort Collins, CO~80253, USA",
}

@TechReport{int:Potra1,
  author =       "F. A. Potra and Y. Ye",
  title =        "Interior point methods for nonlinear complementarity
                 problems",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "Dept.\ of Management Sciences, The University of
                 Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Potra2,
  author =       "F. A. Potra",
  title =        "Implementation of interior point methods on parallel
                 machines",
  type =         "{Talk held at the 16. Symposium on Operations
                 Research in Trier, Germany}",
  year =         "1991",
  month =        sep,
  institution =  "Dept.\ of Management Sciences, The University of
                 Iowa",
  address =      "Iowa City, IA~52242, USA",
  bibdate =      "Sat Dec 30 09:54:30 1995",
}

@TechReport{int:Powell1,
  author =       "M. J. D. Powell",
  title =        "Is {Karmarkar}'s method suitable for semi--infinite
                 programming~?",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "University of Cambridge",
  address =      "Cambridge, UK",
}

@Article{int:Powell2,
  author =       "M. J. D. Powell",
  title =        "Karmarkar's algorithm~: {A} view from nonlinear
                 programming",
  journal =      "Bulletin of the Institute of Mathematics and Its
                 Applications",
  volume =       "26",
  number =       "8--9",
  year =         "1990",
  pages =        "165--181",
}

@InCollection{int:Radosavljevic1,
  author =       "M. D. Radosavljevic--Nicolic",
  title =        "Asymptotic behavior of the affine scaling variant of
                 {Karmarkar}'s algorithm for linear programming",
  booktitle =    "Proceedings of the XX--th Conference `Mathematical
                 Optimization', Humboldt Universit{\"a}t Berlin,
                 East Germany",
  year =         "1990",
  bibdate =      "Sat Dec 30 09:54:56 1995",
}

@Article{int:Rajasekera1,
  author =       "J. R. Rajasekera and S. C. Fang",
  title =        "On the convex programming approach to linear
                 programming",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "309--312",
}

@Article{int:Renegar1,
  author =       "J. Renegar",
  title =        "A polynomial--time algorithm, based on {Newton}'s
                 method, for linear programming",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "59--93",
}

@TechReport{int:Renegar2,
  author =       "J. Renegar",
  title =        "Path--following methods in linear programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Renegar3,
  author =       "J. Renegar and M. Shub",
  title =        "Simplified complexity analysis for {Newton LP}
                 methods",
  type =         "{Technical Report}",
  number =       "807",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Resende1,
  author =       "M. G. C. Resende",
  title =        "A generalized quadratic form potential for an
                 interior point algorithm for integer programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T~Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Resende2,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "An implementation of the dual affine scaling
                 algorithm for network flow problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Resende3,
  author =       "M. G. C. Resende and M. H. Wright",
  title =        "Sixty--six attend interior methods workshop at
                 {Asilomar}",
  journal =      "SIAM News",
  volume =       "23",
  number =       "3",
  year =         "1990",
  month =        may,
  pages =        "9",
}

@TechReport{int:Resende4,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "A dual affine scaling algorithm for network flows",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Resende5,
  author =       "M. G. C. Resende and N. K. Karmarkar and A. P. Kamath
                 and K. G. Ramakrishnan",
  title =        "An interior point approach to graph partitioning",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Resende6,
  author =       "M. G. C. Resende and G. Veiga and I. Adler",
  title =        "Experimentation with interior point implementations",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Resende7,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "A dual affine scaling algorithm for minimum cost
                 network flow problems",
  type =         "{Technical Report}",
  number =       "1.3",
  year =         "1990",
  month =        nov,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "Revised February 1991",
}

@TechReport{int:Resende8,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "Computational investigation of an interior point
                 linear programming algorithm for minimum cost network
                 flow",
  type =         "{Technical Report}",
  number =       "1.0",
  year =         "1991",
  month =        aug,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Resende9,
  author =       "M. G. C. Resende and A. P. Kamath and N. K. Karmarkar
                 and K. G. Ramakrishnan",
  title =        "Mathematical programming approach to inductive
                 inference",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InBook{int:Richter1,
  author =       "C. Richter",
  title =        "{Optimierungsverfahren und BASIC--Programme
                 (Optimization Methods and BASIC--Programs)}",
  chapter =      "2.3.2~: {Das Projektionsverfahren von Karmarkar (The
                 projection method of Karmarkar), pages 47--50,
                 P.2.4.~: Projektionsverfahren, BASIC--Programm}",
  year =         "1988",
  pages =        "123--124",
  publisher =    "Akademie Verlag",
  address =      "D-1000 Berlin, Germany",
  note =         "(In German)",
}

@Article{int:Rinaldi1,
  author =       "G. Rinaldi",
  title =        "A projective method for linear programming with
                 box--type constraints",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "517--527",
}

@Article{int:Rockett1,
  author =       "A. M. Rockett and J. C. Stevenson",
  title =        "{Karmarkar}'s algorithm~: {A} method for solving
                 large linear programming",
  journal =      "BYTE",
  volume =       "12",
  number =       "10",
  year =         "1987",
  pages =        "146--162",
}

@Article{int:Roehrkasse1,
  author =       "R. Roehrkasse",
  title =        "Linear programming and {Operations Research}",
  journal =      "IEEE Potentials",
  volume =       "9",
  number =       "4",
  year =         "1990",
  month =        dec,
  pages =        "39--40",
}

@TechReport{int:Roos1,
  author =       "C. Roos",
  title =        "On {Karmarkar}'s projective method for linear
                 programming",
  type =         "{Technical Report}",
  number =       "85--23",
  year =         "1985",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos2,
  author =       "C. Roos",
  title =        "Linear programming along the trajectory of the
                 problem",
  type =         "{Technical Report}",
  number =       "87--41",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos3,
  author =       "C. Roos",
  title =        "On the trajectory of a linear programming problem",
  type =         "{Technical Report}",
  number =       "87--53",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos4,
  author =       "C. Roos",
  title =        "A new trajectory--following polynomial--time
                 algorithm for the linear programming problem",
  type =         "{Technical Report}",
  number =       "87--87",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos5,
  author =       "C. Roos",
  title =        "Linear programming along the trajectory of the
                 problem in polynomial time",
  type =         "{Technical Report}",
  number =       "88--17",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos6,
  author =       "C. Roos",
  title =        "The influence of the potential function on the
                 performance of a trajectory following algorithm for
                 the linear programming problem",
  type =         "{Technical Report}",
  number =       "88--44",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@Article{int:Roos7,
  author =       "C. Roos",
  title =        "New trajectory--following polynomial--time algorithm
                 for linear programming problems",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "63",
  year =         "1989",
  pages =        "433--458",
}

@InCollection{int:Roos8,
  author =       "C. Roos",
  title =        "An ${O(n^{3}L)}$ approximate center method for linear
                 programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "147--158",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:32 1995",
}

@TechReport{int:Roos9,
  author =       "C. Roos",
  title =        "Polynomial--time algorithms for linear programming
                 based on the use of the logarithmic barrier penalty
                 function",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos10,
  author =       "C. Roos",
  title =        "A potential reduction method for a class of a smooth
                 convex programming problem",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos11,
  author =       "C. Roos and {D. den} Hertog",
  title =        "A polynomial method of approximate weighted centers
                 for linear programming",
  type =         "{Technical Report}",
  number =       "89--13",
  year =         "1989",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos12,
  author =       "C. Roos and J. P. Vial",
  title =        "A polynomial method of approximate centers for linear
                 programming",
  type =         "{Technical Report}",
  number =       "88--68",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
  note =         "Submitted to {\em Mathematical Programing}",
}

@TechReport{int:Roos13,
  author =       "C. Roos and J. P. Vial",
  title =        "Analytic centers in linear programming",
  type =         "{Technical Report}",
  number =       "88--74",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@InCollection{int:Roos14,
  author =       "C. Roos and J. P. Vial",
  title =        "Long steps with the logarithmic penalty barrier
                 function in linear programming",
  booktitle =    "Economic Decision--Making~: Games, Economics and
                 Optimization, dedicated to J. H. Dreze",
  editor =       "J. Gabszevwicz and J. F. Richard and L. Wolsey",
  year =         "1989",
  pages =        "433--441",
  publisher =    "Elsevier Science Publisher B.V.",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Roos15,
  author =       "C. Roos",
  title =        "A pivoting rule of the simplex method which is
                 related to {Karmarkar}'s potential function",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos16,
  author =       "C. Roos",
  title =        "A projective variant of the approximate center method
                 for linear programming",
  type =         "{Technical Report}",
  number =       "90--83",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL-2628~BL~Delft, The Netherlands",
}

@Book{int:Roos17,
  author =       "C. Roos and J. P. Vial",
  title =        "Interior Point Methods, Theory and Practice~:
                 Proceedings of the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, held in Scheveningen, The Netherlands,
                 January 1990",
  year =         "1991",
  series =       "Mathematical Programming, Series~B",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@Article{int:Ruzinsky1,
  author =       "S. A. Ruzinsky and E. T. Olsen",
  title =        "${L_1}$ and ${L_\infty}$ minimization via a variant
                 of {Karmarkar}'s algorithm",
  journal =      "IEEE Transactions on Acoustics, Speech, and Signal
                 Processing",
  volume =       "37",
  number =       "2",
  year =         "1989",
  pages =        "245--253",
}

@TechReport{int:Saigal1,
  author =       "R. Saigal",
  title =        "Tracing homotopy paths in polynomial time",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109-2117, USA",
}

@TechReport{int:Saigal2,
  author =       "R. Saigal",
  title =        "Interior point methods for the transportation
                 problem",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109-2117, USA",
}

@TechReport{int:Saigal3,
  author =       "R. Saigal",
  title =        "{SOR}--type iterative techniques for interior point
                 methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109-2117, USA",
}

@TechReport{int:Salamanca1,
  author =       "A. Salamanca",
  title =        "An inner ellipsoid algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "1--ABR/86",
  year =         "1986",
  institution =  "Dept.\ of Mathematics, E.~T.~S. de Ingenieros
                 Industriales, Universidad Politecmia de Madrid",
  address =      "Madrid, Spain",
}

@Article{int:Salhi1,
  author =       "A. Salhi and G. R. Lindfield",
  title =        "Effects of ordering and updating techniques on the
                 performance of the {Karmarkar} algorithm",
  journal =      "R.A.I.R.O. Recherche Operationnelle/Operations
                 Research",
  volume =       "25",
  number =       "2",
  year =         "1991",
  pages =        "209--236",
}

@TechReport{int:Saltzman1,
  author =       "M. J. Saltzman",
  title =        "Parallel implementation of interior point {LP}
                 algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634-1907, USA",
}

@InCollection{int:Saltzman2,
  author =       "M. J. Saltzman and R. Subramaniam and R. E. Marsten",
  title =        "Implementing an interior point {LP} algorithm on a
                 supercomputer",
  booktitle =    "Impacts of Recent Computer Advances on Operations
                 Research",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
  editor =       "R. Sharda and B. L. Golden and E. Wasil and O. Balci
                 and W. Stewart",
  year =         "1989",
  pages =        "158--168",
}

@TechReport{int:Saltzman3,
  author =       "M. J. Saltzman",
  title =        "{WRIP~: A workbench for research in interior point
                 methods}",
  type =         "{Panel--Discussion held at the ORSA/TIMS Joint
                 National Meeting in Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634-1907, USA",
}

@TechReport{int:Samuelsen1,
  author =       "C. M. Samuelsen and R. A. Tapia",
  title =        "The {Dikin--Karmarkar} principle for steepest
                 descent",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Schneider1,
  author =       "W. Schneider",
  title =        "An inner point preprocessing procedure",
  type =         "{Talk held at the DGOR--Jahrestagung in
                 Stuttgart--Hohernheim, Germany}",
  year =         "1991",
  month =        sep,
  institution =  "Institut f{\"u}r Informatik, Universit{\"a}t Linz",
  address =      "P.~O.~Box, A-4040~Linz, Austria",
  bibdate =      "Sat Dec 30 09:54:32 1995",
}

@Article{int:Schoenlein1,
  author =       "A. Sch{\"o}nlein",
  title =        "{Der Algorithmus von Karmarkar---Idee, Realisation,
                 Beispiel und numerische Erfahrungen (The Karmarkar
                 algorithm---idea, realisation, example and numerical
                 experiences)}",
  journal =      "Angewandte Informatik",
  volume =       "8",
  year =         "1986",
  pages =        "344--353",
  note =         "(In German)",
}

@InCollection{int:Schreck1,
  author =       "H. Schreck",
  title =        "Experiences with an implementation of {Karmarkar}'s
                 {LP}--algorithm",
  booktitle =    "Proceedings of the X.~Symposium on Operations
                 Research, Munich, Germany, August 1985",
  editor =       "M. J. Beckmann and K. W. Gaede and K. Ritter and H.
                 Schneeweiss",
  series =       "Methods of Operations Research",
  volume =       "54",
  year =         "1986",
  pages =        "535--542",
  publisher =    "Anton Hain Meisenheim Verlag",
  address =      "K{\"o}nigstein-Taunus, West-Germany",
  bibdate =      "Sat Dec 30 09:54:32 1995",
}

@Article{int:Schrijver1,
  author =       "A. Schrijver",
  title =        "The new linear programming method of {Karmarkar}",
  journal =      "CWI Newsletter",
  volume =       "8",
  year =         "1985",
  pages =        "2--14",
}

@InBook{int:Schrijver2,
  author =       "A. Schrijver",
  title =        "Theory of Linear and Integer Programming",
  chapter =      "15.1~: {Karmarkar}'s polynomial--time algorithm for
                 linear programming",
  pages =        "190--194",
  publisher =    "John Wiley \& Sons",
  address =      "New York, NY, USA",
  year =         "1986",
}

@TechReport{int:Schrijver3,
  author =       "A. Schrijver",
  title =        "The algorithm of {N.~K.~Karmarkar} for linear
                 programming",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Centre for Mathematics and Computer Science (CWI)",
  address =      "Kruislaan 413, NL-1098~SJ~Amsterdam, The
                 Netherlands",
}

@TechReport{int:Schultz1,
  author =       "G. L. Schultz and R. R. Meyer",
  title =        "A structured interior point method",
  type =         "{Technical Report}",
  number =       "934",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@Article{int:Schultz2,
  author =       "H. Schultz and W. Pulleyblank",
  title =        "Trends in optimization",
  journal =      "OR/MS Today",
  volume =       "18",
  number =       "4",
  year =         "1991",
  month =        aug,
  pages =        "20--25",
}

@Article{int:Schultz3,
  author =       "G. L. Schultz and R. R. Meyer",
  title =        "An interior point method for block angular
                 optimization",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "4",
  year =         "1991",
  pages =        "583--602",
}

@TechReport{int:Setiono1,
  author =       "R. Setiono",
  title =        "An interior dual proximal--point algorithm for linear
                 programs",
  type =         "{Technical Report}",
  number =       "879",
  year =         "1989",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@TechReport{int:Setiono2,
  author =       "R. Setiono",
  title =        "Interior proximal--point algorithm for linear
                 programs",
  type =         "{Technical Report}",
  number =       "949",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@TechReport{int:Setiono3,
  author =       "R. Setiono",
  title =        "Interior dual least 2--norm algorithm for linear
                 programs",
  type =         "{Technical Report}",
  number =       "950",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@TechReport{int:Setiono4,
  author =       "R. Setiono",
  title =        "Interior dual proximal--point algorithm using
                 preconditioned conjugate gradient",
  type =         "{Technical Report}",
  number =       "951",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@Article{int:Shanno1,
  author =       "D. F. Shanno",
  title =        "Computing {Karmarkar} projections quickly",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "61--71",
}

@TechReport{int:Shanno2,
  author =       "D. F. Shanno",
  title =        "Interior--point methods for linear programming~:
                 {The} state--of--the--computational--art",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, Germany}",
  year =         "1990",
  month =        jan,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
  bibdate =      "Sat Dec 30 09:54:32 1995",
}

@TechReport{int:Shanno3,
  author =       "D. F. Shanno",
  title =        "Interior--point methods for linear programming~:
                 {The} state--of--the--art",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Shanno4,
  author =       "D. F. Shanno and A. Bagchi",
  title =        "A unified view of interior point methods for linear
                 programming",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "55--70",
}

@TechReport{int:Shanno5,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "On implementing {Karmarkar}'s method",
  type =         "{Working Paper}",
  number =       "85--01",
  year =         "1985",
  institution =  "Graduate School of Administration, University of
                 California",
  address =      "Davis, CA~95616, USA",
}

@TechReport{int:Shanno6,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Implementation of the {Karmarkar} algorithm within
                 {XMP} framework",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Graduate School of Administration, University of
                 California",
  address =      "Davis, CA~95616, USA",
}

@Article{int:Shanno7,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "A reduced--gradient variant of {Karmarkar}'s
                 algorithm and null--space projections",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "57",
  year =         "1988",
  pages =        "383--397",
}

@TechReport{int:Shanno8,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Interior point methods for linear programming~:
                 {Ready} for production use",
  type =         "{Workshop held at the ORSA/TIMS Joint National
                 Meeting in New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno9,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Set partitioning via interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno10,
  author =       "D. F. Shanno and C. L. Monma and K. McShane",
  title =        "Computational experience with a primal--dual method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno11,
  author =       "D. F. Shanno and R. E. Marsten and M. J. Saltzman and
                 R. Subramaniam",
  title =        "Solving set partitioning problems with cutting planes
                 and an interior point method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno12,
  author =       "D. F. Shanno",
  title =        "An overview of interior point methods with
                 implementation details and computational experience",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno13,
  author =       "D. F. Shanno and T. J. Carpenter",
  title =        "{\em Log}--barrier methods for quadratic and linearly
                 constrained nonlinear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno14,
  author =       "D. F. Shanno",
  title =        "Current state of primal--dual interior code",
  type =         "{Talk held at the Second Asilomar Workshop on
                 Progress in Mathematical Programming, Asimolar
                 Conference Center, Pacific Grove, CA, USA}",
  year =         "1990",
  month =        mar,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Sherali1,
  author =       "H. D. Sherali",
  title =        "Algorithmic insights and a convergence analysis for a
                 {Karmarkar}--type of algorithm for linear programming
                 problems",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "34",
  year =         "1987",
  pages =        "399--416",
}

@Article{int:Sherali2,
  author =       "H. D. Sherali and B. O. Skarpness and B. Kim",
  title =        "An assumption--free convergence analysis of the
                 scaling algorithm for linear programs, with
                 application to the ${L_1}$ estimation problem",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "35",
  year =         "1988",
  pages =        "473--492",
}

@TechReport{int:Sheu1,
  author =       "R. Sheu and S. C. Fang",
  title =        "On the relationship of interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
}

@Article{int:Shi1,
  author =       "M. G. Shi",
  title =        "Some convergence problems of interior point
                 algorithms for linear programming",
  journal =      "Journal of the Tsinghua University",
  volume =       "28",
  number =       "3",
  year =         "1988",
  pages =        "91--101",
  note =         "(In Chinese)",
}

@Article{int:Shub1,
  author =       "M. Shub",
  title =        "On the asymptotic behavior of the projective
                 rescaling algorithm for linear programming",
  journal =      "Journal of Complexity",
  volume =       "3",
  year =         "1987",
  pages =        "258--269",
}

@TechReport{int:Shub2,
  author =       "M. Shub",
  title =        "Boundary and asymptotic behavior of interior point
                 methods for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@Article{int:Siam1,
  key =          "Siam",
  title =        "New algorithm stirs interest",
  journal =      "SIAM News",
  volume =       "13",
  number =       "1",
  year =         "1985",
  month =        jan,
  pages =        "1, 17",
}

@Article{int:Singh1,
  author =       "D. Singh and J. N. Singh",
  title =        "Some remarks on {Karmarkar}'s algorithm for linear
                 programming",
  journal =      "Journal of the Bihar Mathematical Society",
  volume =       "11",
  year =         "1987/88",
  pages =        "85--90",
}

@InProceedings{int:Sinha1,
  author =       "L. P. Sinha and B. A. Freedman and N. K. Karmarkar
                 and A. Puchta and K. G. Ramakrishnan",
  title =        "Overseas network planning---{Application} of
                 {Karmarkar}'s algorithm",
  booktitle =    "Proceedings of NETWORK~'86 Conference, Tarpon Spring,
                 FL, USA",
  year =         "1986",
  month =        jun,
}

@TechReport{int:Slutsman1,
  author =       "L. Slutsman",
  title =        "Implementation of primal--dual series algorithm for
                 convex separable quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@InCollection{int:Snyman1,
  author =       "J. A. Snyman and M. van Royen",
  title =        "A multiplex algorithm for linear programming
                 problems",
  booktitle =    "System Modelling and Optimization~ Proceedings of the
                 13th IFIP Conference, Tokyo, Japan, Aug./Sept.~1987",
  editor =       "M. Iri and K. Yajima",
  year =         "1988",
  pages =        "177--186",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "113",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:34 1995",
}

@Article{int:Snyman2,
  author =       "J. A. Snyman",
  title =        "An interior feasible direction method with constraint
                 projections for linear programming",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "12",
  year =         "1990",
  pages =        "43--54",
}

@InCollection{int:Sonnevend1,
  author =       "G. Sonnevend",
  title =        "A new method for solving a set of linear (convex)
                 inequalities and its applications for identification
                 and optimization",
  booktitle =    "Proceedings of the 5th IFAC--IFORS Conference held in
                 Budapest, Hungaria, June 1986",
  editor =       "B. Martos",
  year =         "1987",
  publisher =    "Pergamon Press",
  address =      "Oxford, UK",
}

@InCollection{int:Sonnevend2,
  author =       "G. Sonnevend",
  title =        "An `analytic center' for polyhedrons and new
                 classes of global algorithms for linear (smooth,
                 convex) programming",
  booktitle =    "System Modelling and Optimization~: Proceedings of
                 the 12th IFIP--Conference held in Budapest, Hungary,
                 September 1985",
  editor =       "A. Prekopa and J. Szelezsan and B. Strazicky",
  year =         "1986",
  pages =        "866--876",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "84",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:34 1995",
}

@InCollection{int:Sonnevend3,
  author =       "G. Sonnevend",
  title =        "New algorithms in convex programming based on a
                 notion of `centre' (for systems of analytic
                 inequalities) and on rational extrapolation",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  year =         "1988",
  pages =        "311--327",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  bibdate =      "Sat Dec 30 09:54:34 1995",
}

@TechReport{int:Sonnevend4,
  author =       "G. Sonnevend",
  title =        "Application of analytic centers to the design of
                 observers and feedback controllers",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700 W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:34 1995",
}

@Article{int:Sonnevend5,
  author =       "G. Sonnevend and J. Stoer",
  title =        "Global ellipsoid approximations and homotopy methods
                 for solving convex analytic programs",
  journal =      "Applied Mathematics~\&~Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "139--166",
}

@Article{int:Sonnevend6,
  author =       "G. Sonnevend and J. Stoer and G. Zhao",
  title =        "On the complexity of following the central path by
                 linear extrapolation in linear programming",
  journal =      "Methods of Operations Research",
  volume =       "62",
  year =         "1990",
  pages =        "19--31",
}

@Article{int:Sonnevend7,
  author =       "G. Sonnevend",
  title =        "Applications of the notion of analytic center in
                 approximation (estimation) problem",
  journal =      "Journal of Computational and Applied Mathematics",
  volume =       "28",
  year =         "1989",
  pages =        "349--358",
}

@InCollection{int:Sonnevend8,
  author =       "G. Sonnevend",
  title =        "Applications of analytic centers for the numerical
                 solution of semiinfinte, convex programs arising in
                 control theory",
  booktitle =    "System Modelling and Optimization~: Proceedings of
                 the 14th IFIP--Conference, Leipzig, East Germany,
                 July 1989",
  editor =       "H. J. Sebastian and K. Tammer",
  year =         "1990",
  pages =        "413--422",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "143",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:58 1995",
}

@TechReport{int:Sonnevend9,
  author =       "G. Sonnevend and J. Stoer and G. Zhao",
  title =        "On the complexity of following the central path of
                 linear programs by linear extrapolation",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  number =       "",
  year =         "1990",
  month =        jan,
  institution =  "Insitut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700 W{\"u}rzburg, Germany",
  note =         "To appear in {\em Mathematical Programming, Series~B,
                 1991}",
  bibdate =      "Sat Dec 30 09:54:36 1995",
}

@Article{int:Spiegel1,
  key =          "Spiegel",
  title =        "{Neuer Dampf (New power)}",
  journal =      "Der Spiegel",
  volume =       "38",
  number =       "49",
  year =         "1984",
  pages =        "239--240",
  note =         "(In German)",
}

@MastersThesis{int:Steger1,
  author =       "A. E. Steger",
  title =        "An extension of {Karmarkar}'s algorithm for bounded
                 linear programming problems",
  year =         "1985",
  month =        aug,
  school =       "Dept.\ of Applied Mathematics, State University of
                 New York",
  address =      "Stony Brook, NY~11794, USA",
  note =         "Condensed version in~: H. Schellhaas, {P. van} Beek,
                 H. Isermann, R. Schmidt and M. Zijlstra, editors, {\em
                 Operations Research Proceedings 1987}, pages 88--95,
                 Springer-Verlag, Berlin, Germany, 1988",
  bibdate =      "Sat Dec 30 09:54:36 1995",
}

@Article{int:Stipp1,
  author =       "D. Stipp",
  title =        "{AT~\&~T} problem--solving math procedure passes
                 early tests of its practical value",
  journal =      "The Wallstreet Journal",
  year =         "1985",
  month =        "March~5,",
}

@TechReport{int:Stoer1,
  author =       "J. Stoer",
  title =        "{Innere--Punkte--Verfahren und ihre Komplexit{\"at}
                 (I}nterior point methods and their complexity)",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:36 1995",
}

@TechReport{int:Stoer2,
  author =       "J. Stoer",
  title =        "Complexity bounds for interior point methods to solve
                 linear programs",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, Germany}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, West-Germany",
  bibdate =      "Sat Dec 30 09:54:37 1995",
}

@TechReport{int:Stone1,
  author =       "R. E. Stone and C. A. Tovey",
  title =        "Karmarkar's algorithm as a generalization of simplex",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "Graduate School of Business Administration, Harvard
                 University",
  address =      "Boston, MA~02163, USA",
}

@TechReport{int:Stone2,
  author =       "R. E. Stone",
  title =        "Karmarkar's algorithm",
  type =         "{Unpublished Report}",
  year =         "1985",
  number =       "",
  institution =  "Graduate School of Business Administration, Harvard
                 University",
  address =      "Boston, MA~02163, USA",
}

@Article{int:Stone3,
  author =       "R. E. Stone and C. A. Tovey",
  title =        "The simplex and projective scaling algorithms as
                 iteratively reweighted least squares methods",
  journal =      "SIAM Review",
  volume =       "33",
  number =       "2",
  year =         "1991",
  month =        jun,
  pages =        "220--237",
  note =         "Errata in {\em SIAM Review} 33(3):461, September
                 1991",
}

@TechReport{int:Stone4,
  author =       "R. E. Stone and M. H. Wright",
  title =        "Recent developments in linear and nonlinear
                 programming",
  type =         "{Short Course held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Graduate School of Business Administration, Harvard
                 University",
  address =      "Boston, MA~02163, USA",
}

@Article{int:Strang1,
  author =       "G. Strang",
  title =        "Karmarkar's algorithm in a nutshell",
  journal =      "SIAM News",
  volume =       "18",
  number =       "6",
  year =         "1985",
  month =        nov,
  pages =        "13",
}

@InBook{int:Strang2,
  author =       "G. Strang",
  title =        "Introduction to Applied Mathematics",
  chapter =      "8.2~: The simplex method and {Karmarkar}'s method",
  year =         "1986",
  pages =        "673--689",
  publisher =    "Wellesley--Cambridge--Press",
  address =      "Cambridge, MA, USA",
}

@Article{int:Strang3,
  author =       "G. Strang",
  title =        "Karmarkar's algorithm and its place in applied
                 mathematics",
  journal =      "The Mathematical Intelligencer",
  volume =       "9",
  number =       "2",
  year =         "1987",
  pages =        "4--10",
}

@TechReport{int:Sun1,
  author =       "J. Sun",
  title =        "An affine--scaling method for linearly constrained
                 convex programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Swart1,
  author =       "E. R. Swart",
  title =        "How {I} implemented the {Karmarkar} algorithm in one
                 evening",
  journal =      "APL Quote Quad",
  volume =       "15",
  number =       "3",
  year =         "1985",
  pages =        "13--16",
}

@TechReport{int:Swart2,
  author =       "E. R. Swart",
  title =        "A modified version of the {Karmarkar} algorithm",
  type =         "{Research Report in Mathematics}",
  number =       "98",
  year =         "1985",
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Guelph",
  address =      "Guelph, Ontario~N1G~2W1, Canada",
}

@PhdThesis{int:Tachat1,
  author =       "D. Tachat",
  title =        "Methodes int{\'{e}}rieures en programmation
                 lin{\'{e}}aire~: {Elaboration} et mise en oeuvre de
                 proc{\'{e}}dures de projection exacte et
                 approch{\'{e}}e {English: Elaboration and performance
                 of exact and approximate projection procedures}",
  year =         "1991",
  school =       "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
  note =         "(In French)",
  bibdate =      "Sat Dec 16 16:50:14 1995",
}

@Article{int:Tamura1,
  author =       "A. Tamura and H. Takehara and K. Fukuda and S.
                 Fujishige and M. Kojima",
  title =        "A dual interior primal simplex method for linear
                 programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "31",
  year =         "1988",
  pages =        "413--429",
}

@Article{int:Tamura2,
  author =       "T. E. Tamura",
  title =        "Characteristics of {Karmarkar} method compared with
                 {Simplex} method",
  journal =      "Bulletin of Nagoya Institute of Technology (Nagoya,
                 Japan)",
  volume =       "38",
  year =         "1986",
  pages =        "251--256",
  note =         "(In Japanese)",
}

@TechReport{int:Tan1,
  author =       "K. C. Tan and R. M. Freund",
  title =        "Newton's method for general parametric center problem
                 with applications",
  type =         "{Technical Report}",
  number =       "RR~457",
  year =         "1991",
  institution =  "Dept.\ of Mathematics, National University of
                 Singapore",
  address =      "Singapore, India",
}

@InProceedings{int:Tanabe1,
  author =       "K. Tanabe",
  title =        "Complementarity--enforced centered {Newton} method
                 for mathematical programming",
  booktitle =    "New Methods for Linear Programming",
  editor =       "K. Tone",
  year =         "1987",
  pages =        "118--144",
  address =      "The Institute of Statistical Mathematics,
                 4-6-7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@InCollection{int:Tanabe2,
  author =       "K. Tanabe",
  title =        "Centered {Newton} method for mathematical
                 programming",
  booktitle =    "System Modelling and Optimization~: Proceedings of
                 the 13th IFIP Conference, Tokyo, Japan,
                 Aug./Sept.~1987",
  editor =       "M. Iri and K. Yajima",
  year =         "1988",
  pages =        "197--206",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "113",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:37 1995",
}

@TechReport{int:Tanabe3,
  author =       "K. Tanabe",
  title =        "Centered {Newton} method for linear programming
                 exterior point method",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@TechReport{int:Tanabe4,
  author =       "K. Tanabe",
  title =        "Center flattening transformation and a centered
                 {Newton} method for linear programming",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@Article{int:Tanabe5,
  author =       "K. Tanabe and T. Tsuchiya",
  title =        "Global analysis of dynamical systems associated with
                 {Karmarkar}'s method for linear programming",
  journal =      "Proceedings of the Annual Meeting of the Operations
                 Research Society of Japan",
  year =         "1987",
  pages =        "132--133",
}

@Article{int:Tapia1,
  author =       "R. A. Tapia",
  title =        "Current research in numerical optimization",
  journal =      "SIAM News",
  volume =       "20",
  year =         "1987",
  month =        mar,
  pages =        "10--11",
}

@TechReport{int:Tapia2,
  author =       "R. A. Tapia",
  title =        "Accelerating interior--point methods",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, Germany}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  bibdate =      "Sat Dec 30 09:54:37 1995",
}

@TechReport{int:Tapia3,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "A fast optimal basis identification technique for
                 interior point linear programming methods",
  type =         "{Technical Report}",
  number =       "TR--89--01",
  year =         "1989",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "Revised September 1990",
}

@TechReport{int:Tapia4,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "Accelerating the convergence of interior point
                 methods",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Tapia5,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "A cubically convergent method for locating a nearby
                 vertex in linear programming",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "67",
  year =         "1990",
  pages =        "217--225",
}

@TechReport{int:Tapia6,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "A polynomial and superlinearly convergent
                 primal--dual interior algorithm for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Tapia7,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "An optimal--basis identification technique for
                 interior--point linear programming algorithms",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "343--363",
}

@TechReport{int:Tapia8,
  author =       "R. A. Tapia and Y. Zhang and M. Saltzman and R.
                 Weiser",
  title =        "The predictor--corrector interior--point method as a
                 composite {Newton} method",
  type =         "{Technical Report}",
  number =       "TR~90--06",
  year =         "1990",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Todd1,
  author =       "M. J. Todd",
  title =        "A review of {N. Karmarkar}",
  journal =      "Computing Reviews",
  volume =       "27",
  year =         "1986",
  month =        mar,
  pages =        "95--96",
}

@InCollection{int:Todd2,
  author =       "M. J. Todd",
  title =        "Polynomial algorithms for linear programming",
  booktitle =    "Advances in Optimization and Control, Proceedings of
                 the Conference {"Optimization Days '86"} held at
                 Montreal, Quebec, Canada, April/May 1986",
  editor =       "H. A. Eiselt",
  year =         "1988",
  pages =        "49--66",
  series =       "Lecture Notes in Economics and Mathematical Systems",
  volume =       "302",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:37 1995",
}

@Article{int:Todd3,
  author =       "M. J. Todd",
  title =        "Improved bounds and containing ellipsoids in
                 {Karmarkar}'s linear programming algorithm",
  journal =      "Mathematics of Operations Research",
  volume =       "13",
  year =         "1988",
  pages =        "650--659",
}

@Article{int:Todd4,
  author =       "M. J. Todd",
  title =        "Exploiting special structure in {Karmarkar}'s
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "97--113",
}

@Article{int:Todd5,
  author =       "M. J. Todd",
  title =        "A {Dantzig--Wolfe--like variant of K}armarkar's
                 interior--point linear programming algorithm",
  journal =      "Operations Research",
  volume =       "38",
  year =         "1990",
  pages =        "1006--1018",
}

@TechReport{int:Todd6,
  author =       "M. J. Todd",
  title =        "The effects of degeneracy and sparsity on
                 {Karmarkar}'s projective algorithm and its variants",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@InCollection{int:Todd7,
  author =       "M. J. Todd",
  title =        "Recent developments and new directions in linear
                 programming",
  booktitle =    "Mathematical Programming~: Recent Developments and
                 Applications",
  editor =       "M. Iri and K. Tanabe",
  year =         "1989",
  pages =        "109--157",
  publisher =    "Kluwer Academic Press",
  address =      "Dordrecht, The Netherlands",
}

@TechReport{int:Todd8,
  author =       "M. J. Todd",
  title =        "On {Anstreicher}'s combined phase~{I} -- phase~{II}
                 projective algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "776",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@InCollection{int:Todd9,
  author =       "M. J. Todd",
  title =        "The effects of degeneracy, null and unbounded
                 variables on variants of {Karmarkar}'s linear
                 programming algorithm",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "81--91",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Todd10,
  author =       "M. J. Todd",
  title =        "The affine--scaling direction for linear programming
                 is a limit of projective--scaling directions",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "93--105",
}

@TechReport{int:Todd11,
  author =       "M. J. Todd",
  title =        "Anticipated behavior of {Karmarkar}'s algorithm",
  type =         "{Technical Report}",
  number =       "879",
  month =        dec,
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd12,
  author =       "M. J. Todd",
  title =        "Anticipated behavior of interior point methods for
                 linear programming",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, Germany}",
  year =         "1990",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  bibdate =      "Sat Dec 30 09:54:38 1995",
}

@TechReport{int:Todd13,
  author =       "M. J. Todd",
  title =        "A low complexity interior point algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "903",
  year =         "1990",
  month =        apr,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "Revised August 1990",
}

@Article{int:Todd14,
  author =       "M. J. Todd and B. P. Burrell",
  title =        "An extension of {Karmarkar}'s algorithm for linear
                 programming using dual variables",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "409--424",
}

@TechReport{int:Todd15,
  author =       "M. J. Todd and C. C. Gonzaga",
  title =        "An ${O(\sqrt{n}L)}$--iteration large--step
                 primal--dual affine algorithm for linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd16,
  author =       "M. J. Todd and Y. Wang",
  title =        "On combined phase~{I} -- phase~{II} projective
                 methods for linear programming",
  type =         "{Technical Report}",
  number =       "877",
  year =         "1989",
  month =        dec,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Algorithmica}",
}

@Article{int:Todd17,
  author =       "M. J. Todd and Y. Ye",
  title =        "A centered projective algorithm for linear
                 programming",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "508--529",
}

@TechReport{int:Todd18,
  author =       "M. J. Todd",
  title =        "Projected scaled steepest descent in
                 {Kojima--Mizuno--Yoshise's} potential reduction
                 algorithm for the linear complementarity problem",
  type =         "{Technical Report}",
  number =       "950",
  year =         "1990",
  month =        dec,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd19,
  author =       "M. J. Todd",
  title =        "Combining phase~{I} and phase~{II} in a potential
                 reduction algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "907",
  year =         "1990",
  month =        jul,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd20,
  author =       "M. J. Todd and J. P. Vial",
  title =        "Todd's low--complexity algorithm is a
                 predictor--corrector path--following method",
  type =         "{Technical Report}",
  number =       "952",
  year =         "1990",
  month =        dec,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd21,
  author =       "M. J. Todd and Y. Wang",
  title =        "A projective algorithm for convex quadratic
                 programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@Article{int:Todd22,
  author =       "M. J. Todd",
  title =        "Playing with interior points",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "17--25",
}

@TechReport{int:Todd23,
  author =       "M. J. Todd and S. Mizuno and Y. Ye",
  title =        "Anticipated behavior of path--following algorithms
                 for linear programming",
  type =         "{Talk held at the Second Asilomar Workshop on
                 Progress in Mathematical Programming, Asilomar, CA,
                 USA}",
  year =         "1990",
  month =        feb,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Todd24,
  author =       "M. J. Todd",
  title =        "Probabilistic models in linear programming",
  type =         "{Technical Report}",
  number =       "836",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "To appear in {\em Mathematics of Operations
                 Research}",
}

@TechReport{int:Tolla1,
  author =       "P. Tolla",
  title =        "Validation numerique de l'algorithme de {Karmarkar}
                 {(Numerical validation of Karmarkar's algorithm)}",
  type =         "Cahier",
  number =       "76",
  year =         "1987",
  month =        apr,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@TechReport{int:Tolla2,
  author =       "P. Tolla",
  title =        "Amelioration des performances de l'algorithme de
                 {Karmarkar} dans le cas de programmes lineaires a
                 variables bornees superieurement {(Improving the
                 performance of Karmarkar's algorithm in linear
                 programs with upper bounded variables)}",
  type =         "Cahier",
  number =       "82",
  year =         "1987",
  month =        nov,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@InCollection{int:Tolla3,
  author =       "P. Tolla",
  title =        "Optimal criterion and optimal solution accuracy test
                 in {Karmarkar}'s algorithm",
  booktitle =    "Numerical and Applied Mathematics, Part~II. Papers
                 from the Twelfth IMACS World Congress on Scientific
                 Computation in Paris, France, July 1988",
  editor =       "C. Brezinski",
  series =       "IMACS Annals of Computational and Applied
                 Mathematics",
  volume =       "1.2",
  year =         "1989",
  pages =        "629--633",
  publisher =    "Baltzer Verlag",
  address =      "Basel, Switzerland",
}

@InCollection{int:Tolla4,
  author =       "P. Tolla",
  title =        "Elaboration de logiciels efficaces utilisant
                 l'algorithme de {Karmarkar} {(Elaboration of a
                 computationally efficient utilization of Karmarkar's
                 algorithm)}",
  booktitle =    "New Methods in Optimization and Their Industrial
                 Uses",
  editor =       "J. P. Penot",
  series =       "International Series of Numerical Mathematics",
  volume =       "87",
  year =         "1989",
  pages =        "173--190",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  note =         "(In French)",
}

@TechReport{int:Tolla5,
  author =       "P. Tolla",
  title =        "Implementation and validation of interior point
                 methods for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@TechReport{int:Tolla6,
  author =       "P. Tolla",
  title =        "New numerical results on {Karmarkar}'s algorithm",
  type =         "Cahier",
  number =       "",
  year =         "1988",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F-75775~Paris~Cedex~16, France",
}

@Article{int:Tomlin1,
  author =       "J. A. Tomlin",
  title =        "Experimental results with an implementation of the
                 projective method",
  month =        "Spring",
  year =         "1985",
}

@Article{int:Tomlin2,
  author =       "J. A. Tomlin",
  title =        "An experimental approach to {Karmarkar}'s projective
                 method for linear programming",
  journal =      "Mathematical Programming Study",
  volume =       "31",
  year =         "1987",
  pages =        "175--191",
}

@InCollection{int:Tomlin3,
  author =       "J. A. Tomlin",
  title =        "A note on comparing simplex and interior methods for
                 linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "91--104",
}

@TechReport{int:Tomlin4,
  author =       "J. A. Tomlin and J. S. Welch",
  title =        "Implementing an interior point method in a
                 mathematical programming system~: {Part~I}",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Ketron Management Science, Inc.",
  address =      "Mountain View, CA~94040, USA",
}

@TechReport{int:Tomlin5,
  author =       "J. A. Tomlin and J. S. Welch",
  title =        "Implementing an interior point method in a
                 mathematical programming system~: {Part~II}",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Ketron Management Science, Inc.",
  address =      "Mountain View, CA~94040, USA",
}

@InProceedings{int:Tompkins1,
  author =       "C. B. Tompkins",
  title =        "Projection methods in calculation",
  booktitle =    "Proceedings of the Second Symposium in Linear
                 Programming",
  editor =       "H. A. Antosiewicz",
  year =         "1955",
  pages =        "425--448",
  address =      "U.~S.~Air Force, Washington, DC, USA",
}

@Article{int:Tompkins2,
  author =       "C. B. Tompkins",
  title =        "Some methods of computational attack on programming
                 problems, other than the simplex method",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "4",
  year =         "1957",
  pages =        "95--96",
}

@TechReport{int:Tone1,
  author =       "K. Tone",
  title =        "A hybrid method for linear programming",
  type =         "{Technical Report}",
  number =       "85--B--1",
  year =         "1985",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@TechReport{int:Tone2,
  author =       "K. Tone",
  title =        "An implementation of a revised {Karmarkar} method",
  type =         "{Technical Report}",
  year =         "1986/87",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@Article{int:Tone3,
  author =       "K. Tone",
  title =        "Linear programming and {Karmarkar} patents",
  journal =      "Systems, Control and Information",
  volume =       "34",
  number =       "5",
  year =         "1990",
  month =        apr,
  pages =        "209--215",
  note =         "(In Japanese)",
}

@TechReport{int:Tone4,
  author =       "K. Tone",
  title =        "An {$O(\sqrt{n}L)$} iteration large--step logarithmic
                 barrier function algorithm for linear programming",
  type =         "{Research Report}",
  number =       "89--B--5",
  year =         "1989",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@TechReport{int:Tone5,
  author =       "K. Tone",
  title =        "An active--set strategy in interior point method for
                 linear programming",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@TechReport{int:Torabi1,
  author =       "M. Torabi",
  title =        "Decomposed block {Cholesky} factorization in the
                 {Karmarkar} algorithm~: {A} proposed scheme for
                 solving a class of super large {LP} problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Torabi2,
  author =       "M. Torabi",
  title =        "Decomposed block {Cholesky} factorization in the
                 {Karmarkar} algorithm.~{Solving} a class of super
                 large {LP} problems",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "2",
  year =         "1990",
  pages =        "1--7",
}

@TechReport{int:Tovey1,
  author =       "C. A. Tovey",
  title =        "Integrating {Karmarkar}'s algorithm into the
                 curriculum",
  type =         "{Workshop held at the ORSA/TIMS Joint National
                 Meeting in Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322-0205, USA",
}

@Article{int:Tovey2,
  author =       "C. A. Tovey",
  title =        "The challenge~: {Teaching K}armarkar's algorithm",
  journal =      "OR/MS Today",
  volume =       "15",
  number =       "2",
  year =         "1988",
  month =        apr,
  pages =        "18--19",
}

@TechReport{int:Trafalis1,
  author =       "T. B. Trafalis and T. L. Morin",
  title =        "Interior point methods in multiobjective convex
                 optimization",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "School of Industrial Engineering, University of
                 Oklahoma",
  address =      "Norman, OK~73019, USA",
}

@PhdThesis{int:Trafalis2,
  author =       "T. B. Trafalis",
  title =        "Efficient faces of a polytope~: {Interior} methods in
                 multiple objective optimization",
  year =         "1989",
  month =        aug,
  school =       "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Trafalis3,
  author =       "T. B. Trafalis",
  title =        "Interior point methods in backpropagation neural
                 networks",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "School of Industrial Engineering, University of
                 Oklahoma",
  address =      "Norman, OK~73019, USA",
}

@Article{int:Tseng1,
  author =       "P. Tseng",
  title =        "A simple complexity proof for a polynomial--time
                 linear programming algorithm",
  journal =      "Operations Research Letters",
  volume =       "8",
  year =         "1989",
  pages =        "155--159",
}

@TechReport{int:Tseng2,
  author =       "P. Tseng",
  title =        "Global linear convergence of a path following
                 algorithm for some variational inequality problems",
  type =         "{Working Paper}",
  year =         "1990",
  institution =  "Dept.\ of Mathematics, GN--50, University of
                 Washington",
  address =      "Seattle, WA, USA",
}

@TechReport{int:Tseng3,
  author =       "P. Tseng and Z. Q. Luo",
  title =        "On the convergence of the affine--scaling algorithm",
  type =         "{Technical Report}",
  number =       "CICS--P--169",
  year =         "1989",
  institution =  "Center for Intelligent Control Systems, Massachusetts
                 Institute of Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Tsuchiya1,
  author =       "T. Tsuchiya",
  title =        "Global convergence of the affine--scaling methods for
                 degenerate linear programming problems",
  type =         "{Research Memorandum}",
  number =       "373",
  year =         "1989",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7 Minami-Azabu, Minato-ku, Tokyo~106, Japan",
  note =         "Revised January 1991. To appear in {\em Mathematical
                 Programming, Series~B, 1991}",
}

@Article{int:Tsuchiya2,
  author =       "T. Tsuchiya and K. Tanabe",
  title =        "Local convergence properties of new methods in linear
                 programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "22--45",
}

@Article{int:Tsuchiya3,
  author =       "T. Tsuchiya",
  title =        "Degenerate linear programming problems and the affine
                 scaling method",
  journal =      "Systems, Control and Information",
  volume =       "34",
  number =       "5",
  year =         "1990",
  month =        apr,
  pages =        "216--222",
  note =         "(In Japanese)",
}

@Article{int:Tsuchiya4,
  author =       "T. Tsuchiya",
  title =        "On {Yamashita's method and Freund's method} for
                 linear programming",
  journal =      "Cooperative Research Report of the Institute of
                 Statistical Mathematics",
  volume =       "10",
  year =         "1988",
  pages =        "105--115",
  note =         "(In Japanese)",
}

@Article{int:Tsuchiya5,
  author =       "T. Tsuchiya",
  title =        "Dual standard form linear programming problems and
                 {Karmarkar}'s canonical form",
  journal =      "Lecture Note of the Research Institute of Statistical
                 Mathematics",
  volume =       "676",
  year =         "1988",
  pages =        "330--336",
  note =         "(In Japanese)",
}

@TechReport{int:Tsuchiya6,
  author =       "T. Tsuchiya",
  title =        "Global convergence property of the affine scaling
                 method for primal degenerate linear programming
                 problems",
  type =         "{Research Memorandum}",
  number =       "367",
  year =         "1989",
  month =        aug,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7~Minami-Azabu, Minato-ku, Tokyo~106, Japan",
  note =         "Revised September 1990. To appear in {\em Mathematics
                 of Operations Research}",
}

@TechReport{int:Tsuchiya7,
  author =       "T. Tsuchiya",
  title =        "Local analysis of {Iri and Imai's} method for
                 degenerate linear programming problems",
  type =         "{Research Memorandum (in preparation)}",
  year =         "1991",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7~Minami-Azabu, Minato-ku, Tokyo~106, Japan",
}

@TechReport{int:Tsuchiya8,
  author =       "T. Tsuchiya",
  title =        "Quadratic convergence of {Iri and Imai's} method for
                 degenerate linear programming problems",
  type =         "{Research Memorandum}",
  number =       "412",
  year =         "1991",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4-6-7~Minami-Azabu, Minato-ku, Tokyo~106, Japan",
}

@PhdThesis{int:Tsuchiya9,
  author =       "T. Tsuchiya",
  title =        "A study on global and local convergence of interior
                 point algorithms for linear programming",
  year =         "1991",
  school =       "Faculty of Engineering, The University of Tokyo",
  address =      "Tokyo, Japan",
  note =         "(In Japanese)",
}

@TechReport{int:Turner1,
  author =       "K. Turner",
  title =        "A variable metric variant of the {Karmarkar}
                 algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "TR--87--13",
  year =         "1987",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Turner2,
  author =       "K. Turner",
  title =        "Computing projections for the {Karmarkar} algorithm",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "141--154",
}

@TechReport{int:Vaidya1,
  author =       "P. M. Vaidya",
  title =        "Linear programming and the center of a polytope",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Vaidya2,
  author =       "P. M. Vaidya",
  title =        "A locally well--behaved potential function and a
                 simple {Newton}--type method for finding the center of
                 a polytope",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "79--90",
}

@TechReport{int:Vaidya3,
  author =       "P. M. Vaidya",
  title =        "A new algorithm for minimizing a convex function over
                 convex sets",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Vaidya4,
  author =       "P. M. Vaidya",
  title =        "An algorithm for linear programming which requires
                 ${O((m + n)n^2 + (m + n)^{1.5}nL)}$ arithmetic
                 operations",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "175--201",
  note =         "Condensed version in~: {\em Proceedings of the 19th
                 Annual ACM Symposium on Theory of Computing}, pages
                 29--38, 1987",
}

@InCollection{int:Vaidya5,
  author =       "P. M. Vaidya",
  title =        "Reducing the parallel complexity of certain linear
                 programming problems",
  booktitle =    "Proceedings of the 31st Annual Symposium on
                 Foundations of Computer Science, St.~Louis, MO, USA,
                 October 1990",
  year =         "1990",
  pages =        "583--589",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@InCollection{int:Vaidya6,
  author =       "P. M. Vaidya",
  title =        "Speeding--up linear programming using fast matrix
                 multiplication",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "332--337",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@InCollection{int:Vaidya7,
  author =       "P. M. Vaidya",
  title =        "A new algorithm for minimizing a convex function over
                 convex sets",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "338--343",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@TechReport{int:Vanderbei1,
  author =       "R. J. Vanderbei",
  title =        "A rescaled orthant variant of {Karmarkar}'s
                 algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Vanderbei2,
  author =       "R. J. Vanderbei",
  title =        "The affine--scaling algorithm and primal degeneracy",
  type =         "{Talk held at the Second Asilomar Workshop on
                 Progress in Mathematical Programming, Asimolar
                 Conference Center, Pacific Grove, CA, USA}",
  year =         "1987",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Misc{int:Vanderbei3,
  author =       "R. J. Vanderbei",
  title =        "Methods and apparatus for efficient resource
                 allocation",
  howpublished = "U.S.~Patent No.~4.744.026",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@Article{int:Vanderbei4,
  author =       "R. J. Vanderbei",
  title =        "Affine--scaling for linear programs with free
                 variables",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "31--44",
}

@TechReport{int:Vanderbei5,
  author =       "R. J. Vanderbei",
  title =        "New developments in the affine--scaling algorithm for
                 {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Vanderbei6,
  author =       "R. J. Vanderbei and J. C. Lagarias",
  title =        "{I. I. Dikin's} convergence result for the
                 affine--scaling algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "109--119",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Vanderbei7,
  author =       "R. J. Vanderbei and M. S. Meketon and B. A. Freedman",
  title =        "A modification of {Karmarkar}'s linear programming
                 algorithm",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "395--407",
}

@TechReport{int:Vanderbei8,
  author =       "R. J. Vanderbei",
  title =        "Efficient handling of dense columns in linear and
                 quadratic programs",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "10~Knob Hill Road, Morganville, NJ~07751, USA",
}

@Article{int:Vanderbei9,
  author =       "R. J. Vanderbei",
  title =        "Splitting dense columns in sparse linear systems",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "107--117",
}

@TechReport{int:Vanderbei10,
  author =       "R. J. Vanderbei",
  title =        "Symmetric quasi--definite matrices",
  type =         "{Technical Report}",
  number =       "SOL~91--10",
  year =         "1991",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei11,
  author =       "R. J. Vanderbei and T. J. Carpenter",
  title =        "Symmetric indefinite systems for interior point
                 methods",
  type =         "{Technical Report}",
  number =       "SOR~91--7",
  year =         "1991",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei12,
  author =       "R. J. Vanderbei",
  title =        "{ALPO~: Another linear program solver}",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "Revised May 1991, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA",
}

@TechReport{int:Vanderbei13,
  author =       "R. J. Vanderbei",
  title =        "{Performance of the AT~\&~T KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Vanderbei14,
  author =       "R. J. Vanderbei",
  title =        "{A brief description of ALPO}",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "To appear in {\em Operations Research Letters, 1991}",
}

@TechReport{int:Vanderbei15,
  author =       "R. J. Vanderbei",
  title =        "Dense columns and interior--point methods for {LP}",
  type =         "{Manuscript}",
  year =         "1991",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@InProceedings{int:Vannelli1,
  author =       "A. Vannelli",
  title =        "An interior point method for solving the global
                 routing problem",
  booktitle =    "Proceedings of the IEEE Custom Integrated Circuits
                 Conference, San Diego, CA, USA, May 1988",
  year =         "1989",
  pages =        "3.4.1--3.4.4",
}

@TechReport{int:Vannelli2,
  author =       "A. Vannelli and E. Klein",
  title =        "A {Cholesky}--conjugate gradient implementation of
                 {Karmarkar}'s algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@Article{int:Vannelli3,
  author =       "A. Vannelli",
  title =        "An adaptation of the interior point method for
                 solving the global routing problem",
  journal =      "IEEE Transactions on Computer--Aided Design of
                 Integrated Circuits and Systems",
  volume =       "10",
  number =       "2",
  year =         "1991",
  month =        feb,
  pages =        "193--203",
}

@Article{int:Venkaiah1,
  author =       "V. C. Venkaiah",
  title =        "An efficient algorithm for linear programming",
  journal =      "Proceedings of the Indian Academy of Sciences,
                 Mathematical Sciences",
  volume =       "100",
  year =         "1990",
  pages =        "205--301",
}

@InCollection{int:Vial1,
  author =       "J. P. Vial",
  title =        "Approximate projections in a projective method for
                 the linear feasibility problem",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "65--78",
}

@Article{int:Vial2,
  author =       "J. P. Vial",
  title =        "A Fully Polynomial-Time Projective Method",
  journal =      "Operations Research Letters",
  volume =       "7",
  year =         "1988",
  pages =        "15--19",
}

@InCollection{int:Vial3,
  author =       "J. P. Vial",
  title =        "A unified approach to projective algorithms for
                 linear programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "191--220",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:38 1995",
}

@InCollection{int:Vial4,
  author =       "J. P. Vial",
  title =        "Decomposition of structured linear programs based on
                 analytic centers",
  year =         "1991",
  pages =        "190--203",
  series =       "Lecture Notes in Economics and Mathematical Systems",
  volume =       "353",
  publisher =    "Springer-Verlag",
  address =      "Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:38 1995",
}

@InCollection{int:Vorst1,
  author =       "{J. G. G. van de} Vorst",
  title =        "An attempt to use parallel computing in large scale
                 optimisation",
  booktitle =    "Logistics, Where Ends Have to Meet~: Proceedings of
                 the Shell Conference on Logistics in Apeldoorn, The
                 Netherlands, November 1988",
  editor =       "{C. F. H. van} Rijn",
  year =         "1989",
  pages =        "112--119",
  publisher =    "Pergamon Press",
  address =      "Oxford, United Kingdom",
}

@TechReport{int:Vucetic1,
  author =       "V. Vucetic",
  title =        "Active set strategies in linear programming using
                 barrier functions",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Energoinvest--Sou",
  address =      "Tvornicka~3, YU-71000~Sarajevo, Yugoslavia",
}

@InProceedings{int:Wanka1,
  author =       "A. Wanka",
  title =        "Interior and exterior methods for linear programming",
  booktitle =    "Operations Research Proceedings 1988",
  editor =       "D. Pressmar and K. E. Jaeger and H. Krallmann and H.
                 Schellhaas and L. Streitfeldt",
  year =         "1989",
  pages =        "214--221",
  address =      "Springer-Verlag, Berlin, Germany",
  bibdate =      "Sat Dec 30 09:54:38 1995",
}

@Article{int:Wei1,
  author =       "Z. L. Wei",
  title =        "An exact solution to linear programming using an
                 interior point method",
  journal =      "Journal of Computational Mathematics",
  volume =       "5",
  year =         "1987",
  pages =        "264--271",
}

@Article{int:Wei2,
  author =       "Z. L. Wei",
  title =        "An interior point method for linear programming",
  journal =      "Journal of Computational Mathematics",
  volume =       "5",
  year =         "1987",
  pages =        "342--351",
}

@Article{int:Wei3,
  author =       "Z. L. Wei",
  title =        "Some recent developments in linear programming",
  journal =      "Mathematics in Practice and Theory",
  volume =       "3",
  year =         "1988",
  pages =        "82--89",
  note =         "(In Chinese)",
}

@InBook{int:Werner1,
  author =       "J. Werner",
  title =        "Numerische Mathematik~2 (Numerical Mathematics~2)",
  chapter =      "6.4~: {Das Karmarkar Verfahren (The Karmarkar
                 algorithm)}",
  year =         "1992",
  pages =        "128--141",
  publisher =    "Vieweg Verlag",
  address =      "Braunschweig, Germany",
}

@TechReport{int:Whisman1,
  author =       "A. W. Whisman",
  title =        "Optimization modelling in the military airlift
                 command",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "CINCMAC Analysis Group, HQ~MAC/AG",
  address =      "Scott AFB, IL~62225, USA",
}

@TechReport{int:White1,
  author =       "D. J. White",
  title =        "Linear programming and {Huard}'s method of centres",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Universities of Manchester and Virginia",
  address =      "Manchester, United Kingdom",
}

@TechReport{int:Williams1,
  author =       "R. O. Williams",
  title =        "An implementation of the affine scaling algorithm for
                 linear programming problems with network constraints",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, California State
                 University",
  address =      "Northridge, Los Angeles, CA~90024, USA",
}

@TechReport{int:Wilson1,
  author =       "J. Wilson",
  title =        "A barrier function approach to mixed integer
                 programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Loughborough University",
  address =      "Loughborough, UK",
}

@InCollection{int:Witzgall1,
  author =       "C. Witzgall and P. T. Boggs and P. D. Domich",
  title =        "On the convergence behavior of trajectories for
                 linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "161--187",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Witzgall2,
  author =       "C. Witzgall and P. T. Boggs and P. D. Domich",
  title =        "On center trajectories and their relatives in linear
                 programming",
  type =         "{NISTIR Technical Report (in preparation)}",
  year =         "1991",
  institution =  "United States Department of Commerce, Applied and
                 Computational Mathematics Division, National Institute
                 of Standards and Technology",
  address =      "Gaithersburg, MD~20899, USA",
  note =         "First draft in April 1988",
}

@TechReport{int:Wolkowicz1,
  author =       "H. Wolkowicz and A. {Ben--Israel}",
  title =        "A volume and constraint reducing algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Combinatorics and Optimization, University
                 of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Wright1,
  author =       "M. H. Wright",
  title =        "Issues of numerical analysis in barrier trajectory
                 methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Wright2,
  author =       "M. H. Wright",
  title =        "Interior methods for nonlinearly constrained
                 optimization",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Wright3,
  author =       "S. J. Wright",
  title =        "An interior point algorithm for linearly constrained
                 optimization",
  type =         "{Technical Report}",
  number =       "MCS--P162--0790",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:Wright4,
  author =       "M. H. Wright",
  title =        "Strategies in path--following methods for nonlinear
                 constraints",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Wright5,
  author =       "M. H. Wright",
  title =        "Linear algebra issues in interior methods",
  type =         "{Talk held at the Fourth SIAM Conference on Applied
                 Linear Algebra in Minneapolis, MN, USA}",
  year =         "1991",
  month =        sep,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Wright6,
  author =       "M. H. Wright",
  title =        "A brief history of linear programming",
  journal =      "SIAM News",
  volume =       "18",
  number =       "3",
  year =         "1985",
  month =        nov,
  pages =        "4",
}

@TechReport{int:Wright7,
  author =       "M. H. Wright",
  title =        "Interior methods for constrained optimization",
  type =         "{Numerical Analysis Manuscript}",
  number =       "91--10",
  year =         "1991",
  month =        nov,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Xiao1,
  author =       "D. Xiao",
  title =        "Fractional linear functions and the analysis of
                 variants of {Karmarkar}'s method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao2,
  author =       "D. Xiao and D. Goldfarb",
  title =        "A primal projective interior point method for linear
                 programming",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao3,
  author =       "D. Xiao and D. Goldfarb",
  title =        "A path--following projective interior point method
                 for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao4,
  author =       "D. Xiao and D. Goldfarb",
  title =        "On the complexity of a class of projective interior
                 point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Yamashita1,
  author =       "H. Yamashita",
  title =        "A polynomially and quadratically convergent method
                 for linear programming",
  type =         "{Working Paper}",
  year =         "1986",
  institution =  "Mathematical Systems Institute, Inc.",
  address =      "Tokyo, Japan",
}

@TechReport{int:Yamashita2,
  author =       "H. Yamashita",
  title =        "A class of primal dual method for constrained
                 optimization",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "Mathematical Systems Institute, Inc.",
  address =      "Tokyo, Japan",
}

@TechReport{int:Yang1,
  author =       "E. K. Yang and W. S. Hwang",
  title =        "An interior point method for dynamic {Leontief} type
                 linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Institute of Applied Mathematics, Tsing Hua
                 University",
  address =      "Hsinchu, 30043, People Republic of China",
}

@TechReport{int:Ye1,
  author =       "Y. Ye",
  title =        "A large group of projections for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye2,
  author =       "Y. Ye",
  title =        "Cutting current--objective method in projective
                 algorithm for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  month =        feb,
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye3,
  author =       "Y. Ye",
  title =        "Cutting--objective and scaling methods---a polynomial
                 algorithm for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
  note =         "Submitted to {\em Mathematical Programming}",
}

@TechReport{int:Ye4,
  author =       "Y. Ye",
  title =        "Barrier projection and sliding current objective
                 method for linear programming",
  type =         "{Talk held at the 12th Mathematical Programming
                 Symposium, Boston, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@PhdThesis{int:Ye5,
  author =       "Y. Ye",
  title =        "Interior algorithms for linear, quadratic, and
                 linearly constrained convex programming",
  year =         "1987",
  school =       "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye6,
  author =       "Y. Ye",
  title =        "Dual approach of {Karmarkar}'s algorithm and the
                 ellipsoid method",
  type =         "{Working Paper}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye7,
  author =       "Y. Ye",
  title =        "Further development on the interior algorithm for
                 convex quadratic programming",
  type =         "{Working Paper}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Ye8,
  author =       "Y. Ye",
  title =        "Karmarkar's algorithm and the ellipsoid method",
  journal =      "Operations Research Letters",
  volume =       "6",
  year =         "1987",
  pages =        "177--182",
}

@Article{int:Ye9,
  author =       "Y. Ye",
  title =        "An ${O(n^{3}L)}$ potential reduction algorithm for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "239--258",
}

@TechReport{int:Ye10,
  author =       "Y. Ye",
  title =        "The `build-down' scheme for path-following
                 algorithms",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Integrated Systems Inc.",
  address =      "Santa Clara, CA, USA",
}

@TechReport{int:Ye11,
  author =       "Y. Ye",
  title =        "A class of potential functions for linear
                 programming",
  type =         "Management Science Working Paper",
  number =       "88--13",
  year =         "1988",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye12,
  author =       "Y. Ye",
  title =        "Potential functions and polytopes",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye13,
  author =       "Y. Ye",
  title =        "Eliminating columns and rows in potential reduction
                 and path--following algorithms for linear programming",
  type =         "{Working Paper Series}",
  number =       "89--7",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@InCollection{int:Ye14,
  author =       "Y. Ye",
  title =        "An extension of {Karmarkar}'s algorithm and the trust
                 region method for quadratic programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer-Verlag",
  address =      "New York, NY, USA",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "49--64",
}

@TechReport{int:Ye15,
  author =       "Y. Ye",
  title =        "Comparative analysis of affine scaling algorithms
                 based on simplifying assumptions",
  type =         "{Technical Report}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "Revised November 1990. To appear in {\em Mathematical
                 Programming, Series~B, 1991}",
}

@Article{int:Ye16,
  author =       "Y. Ye",
  title =        "A `build-down' scheme for linear programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "61--72",
}

@Article{int:Ye17,
  author =       "Y. Ye",
  title =        "A class of projective transformations for linear
                 programming",
  journal =      "SIAM Journal on Computing",
  volume =       "19",
  year =         "1990",
  pages =        "457--466",
}

@Article{int:Ye18,
  author =       "Y. Ye",
  title =        "Recovering optimal basic variables in {Karmarkar}'s
                 polynomial algorithm for linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "564--572",
}

@TechReport{int:Ye19,
  author =       "Y. Ye",
  title =        "Complexity analysis on {Karmarkar}'s algorithm",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye20,
  author =       "Y. Ye and M. Kojima",
  title =        "Recovering optimal dual solutions in {Karmarkar}'s
                 polynomial algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "305--317",
}

@Article{int:Ye21,
  author =       "Y. Ye and P. M. Pardalos",
  title =        "A class of linear complementarity problems solvable
                 in polynomial time",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "3--17",
}

@Article{int:Ye22,
  author =       "Y. Ye and M. J. Todd",
  title =        "Containing and shrinking ellipsoids in the
                 path--following algorithm",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "1--10",
}

@TechReport{int:Ye23,
  author =       "Y. Ye and E. Tse",
  title =        "A polynomial--time algorithm for convex quadratic
                 programming",
  type =         "{Working Paper}",
  year =         "1986",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Ye24,
  author =       "Y. Ye and E. Tse",
  title =        "An extension of {Karmarkar}'s projective algorithm
                 for convex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "157--179",
}

@TechReport{int:Ye25,
  author =       "Y. Ye",
  title =        "A further result on the potential reduction algorithm
                 for the {$P$}--matrix linear complementarity problem",
  type =         "{Working Paper}",
  year =         "1988",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye26,
  author =       "Y. Ye",
  title =        "Interior point algorithms for global optimization",
  journal =      "Annals of Operations Research",
  volume =       "25",
  year =         "1990",
  pages =        "59--74",
}

@TechReport{int:Ye27,
  author =       "Y. Ye",
  title =        "Interior point algorithms for quadratic programming",
  type =         "{Working Paper Series}",
  number =       "89--29",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "To appear in S. Kumar, editor, {\em Recent
                 Developments in Mathematical Programming}, Gordon~\&
                 Beach Scientific Publishers, 1991",
}

@TechReport{int:Ye28,
  author =       "Y. Ye",
  title =        "Line searches in potential reduction algorithm for
                 linear programming",
  type =         "Manuscript",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye29,
  author =       "Y. Ye",
  title =        "On an affine scaling algorithm for nonconvex
                 quadratic programming",
  type =         "{Technical Report}",
  year =         "1988",
  month =        apr,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "Revised July 1989",
}

@TechReport{int:Ye30,
  author =       "Y. Ye",
  title =        "A fully polynomial--time approximation algorithm for
                 computing a stationary point of the generalized linear
                 complementarity problem",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye31,
  author =       "Y. Ye",
  title =        "Further developments in potential reduction
                 algorithm",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye32,
  author =       "Y. Ye",
  title =        "Bimatrix equilibrium points and potential functions",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye33,
  author =       "Y. Ye",
  title =        "A combinatorial property of analytic centers of
                 polytopes",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye34,
  author =       "Y. Ye",
  title =        "Anticipated behavior of affine scaling algorithms for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye35,
  author =       "Y. Ye",
  title =        "On the finite convergence of interior--point
                 algorithms for linear programming",
  type =         "{Technical Report}",
  number =       "91--05",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye36,
  author =       "Y. Ye and S. S. Chiu",
  title =        "Recovering the shadow price in projection methods for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye37,
  author =       "Y. Ye and F. A. Potra",
  title =        "An interior--point algorithm for solving entropy
                 optimization problems with globally linear and locally
                 quadratic convergence rate",
  type =         "{Working Paper Series}",
  number =       "90--22",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye38,
  author =       "Y. Ye",
  title =        "On the interior algorithms for nonconvex quadratic
                 programming",
  type =         "{Manuscript}",
  year =         "1988",
  institution =  "Integrated Systems, Inc.",
  address =      "Santa Clara, CA, USA",
}

@InCollection{int:Ye39,
  author =       "Y. Ye",
  title =        "An {$O(n^{3}L)$} potential reduction algorithm for
                 linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "77--88",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Ye40,
  author =       "Y. Ye",
  title =        "A `build-down' simplex --- {Karmarkar} method for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye41,
  author =       "Y. Ye",
  title =        "A potential reduction algorithm allowing column
                 generation",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye42,
  author =       "Y. Ye and K. O. Kortanek and J. A. Kaliski and S.
                 Huang",
  title =        "Near--boundary behavior of primal--dual potential
                 reduction algorithms for linear programming",
  type =         "{Working Paper}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye43,
  author =       "Y. Ye and O. G{\"u}ler and R. A. Tapia and Y. Zhang",
  title =        "A quadratically convergent
                 ${O(\sqrt{n}L)}$--iteration algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "TR--91--26",
  year =         "1991",
  month =        aug,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Ye44,
  author =       "Y. Ye and R. A. Tapia and Y. Zhang",
  title =        "A superlinearly convergent
                 ${O(\sqrt{n}L)}$--iteration algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "TR--91--22",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Ye45,
  author =       "Y. Ye",
  title =        "Toward probabilistic analysis of interior--point
                 algorithms for linear programming",
  type =         "{Working Paper Series}",
  number =       "91--13",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye46,
  author =       "Y. Ye",
  title =        "K--projection and cutting--objective method for
                 linear programming",
  type =         "{Talk held at the 12th Mathematical Programming
                 Symposium, Boston, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye47,
  author =       "Y. Ye and J. A. Kaliski",
  title =        "Further results on build--up approaches for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting
                 in, Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye48,
  author =       "Y. Ye",
  title =        "The potential algorithm for linear complementarity
                 problems",
  type =         "{Technical Report}",
  year =         "1998",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@PhdThesis{int:Yeh1,
  author =       "Q. J. Yeh",
  title =        "A reduced dual affine scaling algorithm for solving
                 assignment and transportation problems",
  year =         "1989",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Zaijan1,
  author =       "D. Zaijan",
  title =        "A modified {Karmarkar}'s algorithm",
  journal =      "Applied Mathematics---A Journal of Chinese
                 Universities",
  volume =       "3",
  year =         "1988",
  pages =        "41--56",
}

@TechReport{int:Zhang1,
  author =       "Y. Zhang and R. A. Tapia and J. E. Dennis",
  title =        "On the superlinear and quadratic convergence of
                 primal--dual interior point linear programming
                 algorithms",
  type =         "{Technical Report}",
  number =       "TR~90--6",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhang2,
  author =       "Y. Zhang and R. A. Tapia and F. Potra",
  title =        "On the superlinear convergence of interior point
                 algorithms for a general class of problems",
  type =         "{Technical Report}",
  number =       "TR~90--9",
  year =         "1990",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhang3,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "A polynomial--time and superlinearly convergent
                 interior point algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1991",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhang4,
  author =       "S. Zhang",
  title =        "On the convergence property of {Iri--Imai's} method
                 for linear programming",
  type =         "{Technical Report}",
  number =       "8917/A",
  year =         "1989",
  institution =  "Economic Institute, Erasmus University",
  address =      "Rotterdam, The Netherlands",
}

@TechReport{int:Zhang5,
  author =       "Y. Zhang",
  title =        "Super--linear convergence of interior point
                 algorithms for a class of mathematical programming
                 problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Mathematics \& Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228, USA",
}

@Article{int:Zhang6,
  author =       "J. Z. Zhang",
  title =        "The affine transformation method and the path
                 following method for solving linear programming
                 problems",
  journal =      "Chinese Journal of Operations Research",
  volume =       "8",
  number =       "2",
  year =         "1989",
  pages =        "25--34",
  note =         "(In Chinese)",
}

@TechReport{int:Zhang7,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "A quadratically convergent polynomial primal--dual
                 interior--point algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "TR~90--40",
  year =         "1990",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhao1,
  author =       "G. Zhao and J. Stoer",
  title =        "Estimating the complexity of path following methods
                 for solving linear programs by curvature integrals",
  type =         "{Technical Report}",
  number =       "225",
  year =         "1990",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D-8700~W{\"u}rzburg, Germany",
  bibdate =      "Sat Dec 30 09:54:40 1995",
}

@Article{int:Zheng1,
  author =       "Q. Zheng",
  title =        "On the complexity of linear programming problems",
  journal =      "Chinese Journal of Operations Research",
  volume =       "7",
  number =       "2",
  year =         "1988",
  pages =        "1--10",
  note =         "(In Chinese)",
}

@Article{int:Zhou1,
  author =       "J. Zhou and N. Xu and W. Chen",
  title =        "Discussion on {Karmarkar}'s method for solving
                 unstandard model",
  journal =      "Journal of Southeastern University (Nanjing, PR
                 China), English Edition",
  volume =       "5",
  number =       "1",
  year =         "1989",
  pages =        "38--45",
  note =         "",
}

@TechReport{int:Zhu1,
  author =       "J. Zhu and K. O. Kortanek",
  title =        "A polynomial path--following algorithm for linearly
                 constrained convex programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Zhu2,
  author =       "J. Zhu",
  title =        "A path following algorithm for a class of convex
                 programming problems",
  type =         "{Working Paper Series}",
  number =       "90--14",
  year =         "1990",
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Zikan1,
  author =       "K. Zikan and R. W. Cottle",
  title =        "The box method for linear programming, part~{I~:
                 B}asic theory",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305-4022, USA",
}

@TechReport{int:Zikan2,
  author =       "K. Zikan and R. W. Cottle",
  title =        "The box method for linear programming, part~{II~:
                 T}reatment of problems in standard form with
                 explicitly bounded variables",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305-4022, USA",
}

@TechReport{int:Zikan3,
  author =       "K. Zikan and R. W. Cottle",
  title =        "Solving linear programs with the box method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305-4022, USA",
}

@InCollection{int:Zimmermann1,
  author =       "U. Zimmermann",
  title =        "On recent developments in linear programming",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  year =         "1988",
  pages =        "353--390",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  bibdate =      "Sat Dec 30 09:54:40 1995",
}

@TechReport{int:Zimmermann2,
  author =       "U. Zimmermann",
  title =        "Search directions for projective methods",
  type =         "{Technical Report}",
  year =         "1989",
  month =        feb,
  institution =  "Technische Universit{\"a}t Braunschweig, Institut
                 f{\"u}r Angewandte Mathematik, Abt.\ f{\"u}r Math.\
                 Optimierung",
  address =      "Pockelstr.~14, D-3300~Braunschweig, Germany",
}

@Article{int:Zimmermann3,
  author =       "U. Zimmermann",
  title =        "Search directions for a class of projective methods",
  journal =      "Zeitschrift f{\"u}r Operations Research---Methods and
                 Models of Operations Research",
  volume =       "34",
  year =         "1990",
  pages =        "353--379",
}

@TechReport{int:Zimmermann4,
  author =       "U. Zimmermann and C. Wallacher",
  title =        "An interior point method for flow problems",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Technische Universit{\"a}t Braunschweig, Institut
                 f{\"u}r Angewandte Mathematik, Abt.\ f{\"u}r Math.\
                 Optimierung",
  address =      "Pockelstr.~14, D-3300~Braunschweig, Germany",
  bibdate =      "Sat Dec 30 09:54:40 1995",
}