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

Download Full-text

Complexity analysis and numerical implementation of large-update interior-point methods for SDLCP based on a new parametric barrier kernel function

Optimization ◽

10.1080/02331934.2018.1462356 ◽

2018 ◽

Vol 67 (8) ◽

pp. 1211-1230

Author(s):

Mohamed Achache ◽

Nesrine Tabchouche

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complexity Analysis ◽

Numerical Implementation

Download Full-text

Complexity analysis of interior point methods for linear programming based on a parameterized kernel function

RAIRO - Operations Research ◽

10.1051/ro/2015056 ◽

2016 ◽

Vol 50 (4-5) ◽

pp. 935-949 ◽

Author(s):

Mousaab Bouafia ◽

Djamel Benterki ◽

Adnan Yassine

Keyword(s):

Linear Programming ◽

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complexity Analysis

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

Complexity of Interior Point Methods for a Class of Linear Complementarity Problems Using a Kernel Function with Trigonometric Growth Term

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1344-z ◽

2018 ◽

Vol 178 (3) ◽

pp. 935-949

Author(s):

Sajad Fathi-Hafshejani ◽

Alireza Fakharzadeh Jahromi ◽

Mohammad Reza Peyghami ◽

Shengyuan Chen

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Interior-point methods for linear optimization based on a kernel function with a trigonometric barrier term

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.05.036 ◽

2012 ◽

Vol 236 (15) ◽

pp. 3613-3623 ◽

Author(s):

M. El Ghami ◽

Z.A. Guennoun ◽

S. Bouali ◽

T. Steihaug

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Linear Optimization

Download Full-text