Restrictively Preconditioned Conjugate Gradient Method for a Series of Constantly Augmented Least Squares Problems

Rui Li; Zeng-Qi Wang

doi:10.1137/19m1284853

Restrictively Preconditioned Conjugate Gradient Method for a Series of Constantly Augmented Least Squares Problems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/19m1284853 ◽

2020 ◽

Vol 41 (2) ◽

pp. 838-851

Author(s):

Rui Li ◽

Zeng-Qi Wang

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Least Squares Problems

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Preconditioned conjugate gradient method for rank deficient least-squares problems

International Journal of Computer Mathematics ◽

10.1080/00207169908804872 ◽

1999 ◽

Vol 72 (4) ◽

pp. 509-518 ◽

Cited By ~ 6

Author(s):

C. H. Santos ◽

J. Y. Yuan

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Least Squares Problems

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Preconditioned conjugate gradient method for generalized least squares problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00239-1 ◽

1996 ◽

Vol 71 (2) ◽

pp. 287-297 ◽

Cited By ~ 36

Author(s):

J.Y. Yuan ◽

A.N. Iusem

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Generalized Least Squares ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Least Squares Problems

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Preconditioned Conjugate Gradient Method and Generalized Successive Overrelaxation Method for the Least Squares Problems

International Journal of Computer Mathematics ◽

10.1080/00207160210949 ◽

2002 ◽

Vol 79 (5) ◽

pp. 593-602 ◽

Cited By ~ 2

Author(s):

Changjun Li ◽

David J. Evans

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Least Squares Problems ◽

Successive Overrelaxation

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Preconditioned conjugate gradient method and generalized successive over relaxation method for the weighted least squares problems

International Journal of Computer Mathematics ◽

10.1080/00207160310001620759 ◽

2004 ◽

Vol 81 (2) ◽

pp. 203-214 ◽

Cited By ~ 4

Author(s):

Yimin Wei ◽

Xiaoyun Yu† ◽

Ruying Zhang‡

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Weighted Least Squares ◽

Relaxation Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Least Squares Problems ◽

Successive Over Relaxation

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A Preconditioned Conjugate Gradient Method with Active Set Strategy for $$\ell _1$$ℓ1-Regularized Least Squares

Journal of the Operations Research Society of China ◽

10.1007/s40305-018-0202-x ◽

2018 ◽

Vol 6 (4) ◽

pp. 571-585 ◽

Cited By ~ 1

Author(s):

Wan-You Cheng ◽

Dong-Hui Li

Keyword(s):

Least Squares ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Active Set ◽

Regularized Least Squares ◽

Active Set Strategy

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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

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Application and Study on Preconditioned Conjugate Gradient Method Algorithm in Concrete Ultrasonic Computerized Tomography

2010 Second International Conference on Information Technology and Computer Science ◽

10.1109/itcs.2010.91 ◽

2010 ◽

Author(s):

Fan Yao ◽

Chu Yanli

Keyword(s):

Computerized Tomography ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient

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MPI+OpenMP parallel implementation of explicitly preconditioned conjugate gradient method

Keldysh Institute Preprints ◽

10.20948/prepr-2018-8 ◽

2018 ◽

pp. 1-28 ◽

Cited By ~ 4

Author(s):

Igor Evgenevich Kaporin ◽

Olga Yurievna Milyukova

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Parallel Implementation ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient

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A backward/forward recovery approach for the preconditioned conjugate gradient method

Journal of Computational Science ◽

10.1016/j.jocs.2016.04.008 ◽

2016 ◽

Vol 17 ◽

pp. 522-534 ◽

Cited By ~ 2

Author(s):

Massimiliano Fasi ◽

Julien Langou ◽

Yves Robert ◽

Bora Uçar

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Recovery Approach

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A parallel implementation of chebyshev preconditioned conjugate gradient method

Second International Symposium on Parallel and Distributed Computing, 2003. Proceedings. ◽

10.1109/ispdc.2003.1267636 ◽

2004 ◽

Cited By ~ 1

Author(s):

C. Akcadogan ◽

H. Dag

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Parallel Implementation ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient

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