A cooperative conjugate gradient method for linear systems permitting efficient multi-thread implementation

Amit Bhaya; Pierre-Alexandre Bliman; Guilherme Niedu; Fernando A. Pazos

doi:10.1007/s40314-016-0416-7

A cooperative conjugate gradient method for linear systems permitting efficient multi-thread implementation

Computational and Applied Mathematics ◽

10.1007/s40314-016-0416-7 ◽

2017 ◽

Vol 37 (2) ◽

pp. 1601-1628

Author(s):

Amit Bhaya ◽

Pierre-Alexandre Bliman ◽

Guilherme Niedu ◽

Fernando A. Pazos

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method

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 ◽

Cited By ~ 3

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

GPU-based preconditioned conjugate gradient method for solving sparse linear systems

Journal of Computer Applications ◽

10.3724/sp.j.1087.2013.00825 ◽

2013 ◽

Vol 33 (3) ◽

pp. 825-829 ◽

Cited By ~ 2

Author(s):

Jianfei ZHANG ◽

Defei SHEN

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Sparse Linear Systems

Download Full-text

Modifications of Steepest Descent Method and Conjugate Gradient Method Against Noise for Ill-posed Linear Systems

Communications in Numerical Analysis ◽

10.5899/2012/cna-00115 ◽

2012 ◽

Vol 2012 ◽

pp. 1-24 ◽

Cited By ~ 3

Author(s):

Chein-Shan Liu

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Ill Posed

Download Full-text

On the solution of symmetric linear systems by the preconditioned conjugate gradient method

International Journal of Computer Mathematics ◽

10.1080/00207169408804307 ◽

1994 ◽

Vol 52 (3-4) ◽

pp. 225-241

Author(s):

Anna Psimarni

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient

Download Full-text

Efficient Computational Schemes of the Conjugate Gradient Method for Solving Linear Systems

Journal of Computational Physics ◽

10.1006/jcph.1994.1018 ◽

1994 ◽

Vol 110 (2) ◽

pp. 201-211 ◽

Cited By ~ 7

Author(s):

Stepan G. Mulyarchik ◽

Stanislav S. Bielawski ◽

Andrew V. Popov

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Computational Schemes

Download Full-text

Explicitly preconditioned conjugate gradient method for the solution of unsymmetric linear systems

International Journal of Computer Mathematics ◽

10.1080/00207169208804103 ◽

1992 ◽

Vol 44 (1-4) ◽

pp. 169-187 ◽

Cited By ~ 16

Author(s):

Igor E. Kaporin

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Unsymmetric Linear Systems

Download Full-text

An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479897330194 ◽

2000 ◽

Vol 21 (4) ◽

pp. 1279-1299 ◽

Cited By ~ 41

Author(s):

Jocelyne Erhel ◽

Frédéric Guyomarc'h

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Positive Definite ◽

Symmetric Positive Definite

Download Full-text

The conjugate-gradient method for solving linear systems

Proceedings of Symposia in Applied Mathematics - Numerical Analysis ◽

10.1090/psapm/006/0084178 ◽

1956 ◽

pp. 83-102 ◽

Cited By ~ 37

Author(s):

Magnus R. Hestenes

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method

Download Full-text

The Effect of Ordering on the Convergence of the Conjugate Gradient Method for Solving Preconditioned Shifted Linear Systems

Proceedings of the Fifth International Conference on Engineering Computational Technology ◽

10.4203/ccp.84.88 ◽

2009 ◽

Author(s):

E. Flórez ◽

M.D. García ◽

A. Suárez ◽

H. Sarmiento

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Shifted Linear Systems

Download Full-text

A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426341 ◽

2012 ◽

Cited By ~ 3

Author(s):

Amit Bhaya ◽

Pierre-Alexandre Bliman ◽

Guilherme Niedu ◽

Fernando Pazos

Keyword(s):

Linear Systems ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Low Complexity

Download Full-text