A product-form Cholesky factorization method for handling dense columns in interior point methods for linear programming

Mathematical Programming ◽

10.1007/s10107-003-0377-7 ◽

2004 ◽

Vol 99 (1) ◽

pp. 1-34 ◽

Author(s):

D. Goldfarb ◽

K. Scheinberg

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Factorization Method ◽

Product Form ◽

Cholesky Factorization

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Product-form Cholesky factorization in interior point methods for second-order cone programming

Mathematical Programming ◽

10.1007/s10107-004-0556-1 ◽

2004 ◽

Vol 103 (1) ◽

pp. 153-179 ◽

Author(s):

D. Goldfarb ◽

K. Scheinberg

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Second Order ◽

Product Form ◽

Cholesky Factorization ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Fast Cholesky factorization for interior point methods of linear programming

Computers & Mathematics with Applications ◽

10.1016/0898-1221(95)00215-4 ◽

1996 ◽

Vol 31 (4-5) ◽

pp. 49-54 ◽

Author(s):

C. Mészáros

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Cholesky Factorization

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Implementing cholesky factorization for interior point methods of linear programming

Optimization ◽

10.1080/02331939308843876 ◽

1993 ◽

Vol 27 (1-2) ◽

pp. 121-140 ◽

Author(s):

J. Gondzio

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Cholesky Factorization

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Computing a hybrid preconditioner approach to solve the linear systems arising from interior point methods for linear programming using the conjugate gradient method

Annals of Management Science ◽

10.24048/ams3.no1.2014-43 ◽

2014 ◽

Vol 3 (1) ◽

pp. 43-64 ◽

Author(s):

Carla Ghidini ◽

A. R. L. Oliveira ◽

D. C. Sorensen

Keyword(s):

Linear Programming ◽

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Interior Point ◽

Interior Point Methods

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Warm-Start Strategies in Interior-Point Methods for Linear Programming

SIAM Journal on Optimization ◽

10.1137/s1052623400369235 ◽

2002 ◽

Vol 12 (3) ◽

pp. 782-810 ◽

Author(s):

E. Alper Yildirim ◽

Stephen J. Wright

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods ◽

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A Numerical Implementation of an Interior Point Methods for Linear Programming Based on a New Kernel Function

Advances in Intelligent Systems and Computing - Modelling, Computation and Optimization in Information Systems and Management Sciences ◽

10.1007/978-3-319-18161-5_30 ◽

2015 ◽

pp. 357-368

Author(s):

Mousaab Bouafia ◽

Djamel Benterki ◽

Adnan Yassine

Keyword(s):

Linear Programming ◽

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Numerical Implementation

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Interior Point Methods for Large-Scale Linear Programming

Handbook of Optimization in Telecommunications ◽

10.1007/978-0-387-30165-5_1 ◽

2008 ◽

pp. 3-25 ◽

Author(s):

John E. Mitchell ◽

Kris Farwell ◽

Daryn Ramsden

Keyword(s):

Linear Programming ◽

Interior Point ◽

Large Scale ◽

Interior Point Methods

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Linear Programming: Interior Point Methods

Encyclopedia of Optimization ◽

10.1007/978-0-387-74759-0_337 ◽

2008 ◽

pp. 1886-1889

Author(s):

Kurt M. Anstreicher

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods

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Rejoinder—The Last Word on Interior Point Methods for Linear Programming—For Now

INFORMS Journal on Computing ◽

10.1287/ijoc.6.1.35 ◽

1994 ◽

Vol 6 (1) ◽

pp. 35-36 ◽

Author(s):

Irvin J. Lustig ◽

Roy E. Marsten ◽

David F. Shanno

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods

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Implementation of warm-start strategies in interior-point methods for linear programming in fixed dimension

Computational Optimization and Applications ◽

10.1007/s10589-007-9096-y ◽

2007 ◽

Vol 41 (2) ◽

pp. 151-183 ◽

Author(s):

Elizabeth John ◽

E. Alper Yıldırım

Keyword(s):

Linear Programming ◽

Interior Point ◽

Interior Point Methods ◽

Fixed Dimension

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