Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

Mehdi Dehghan; Reza Mohammadi-Arani

doi:10.1007/s40314-016-0315-y

Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

Computational and Applied Mathematics ◽

10.1007/s40314-016-0315-y ◽

2016 ◽

Vol 36 (4) ◽

pp. 1591-1606 ◽

Cited By ~ 8

Author(s):

Mehdi Dehghan ◽

Reza Mohammadi-Arani

Keyword(s):

Linear Systems ◽

Conjugate Gradient ◽

Product Type ◽

Shifted Linear Systems

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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

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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 ◽

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

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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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Solving finite difference linear systems on GPUs: CUDA based Parallel Explicit Preconditioned Biconjugate Conjugate Gradient type Methods

The Journal of Supercomputing ◽

10.1007/s11227-011-0619-z ◽

2011 ◽

Vol 61 (3) ◽

pp. 590-604 ◽

Cited By ~ 12

Author(s):

G. A. Gravvanis ◽

C. K. Filelis-Papadopoulos ◽

K. M. Giannoutakis

Keyword(s):

Finite Difference ◽

Linear Systems ◽

Conjugate Gradient ◽

Gradient Type ◽

Conjugate Gradient Type Methods

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A block preconditioned conjugate gradient-type iterative solver for linear systems in thermal reservoir simulation

Journal of Computational Physics ◽

10.1016/0021-9991(86)90114-2 ◽

1986 ◽

Vol 67 (1) ◽

pp. 37-58 ◽

Cited By ~ 4

Author(s):

Srinivas Betté ◽

Julio C Diaz ◽

William R Jines ◽

Trond Steihaug

Keyword(s):

Linear Systems ◽

Reservoir Simulation ◽

Conjugate Gradient ◽

Preconditioned Conjugate Gradient ◽

Iterative Solver ◽

Thermal Reservoir ◽

Gradient Type

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Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.01.032 ◽

2017 ◽

Vol 45 ◽

pp. 955-964 ◽

Cited By ~ 29

Author(s):

Hao-Tian Xu ◽

Chuan-Ke Zhang ◽

Lin Jiang ◽

Jeremy Smith

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Lyapunov Functional ◽

Product Type ◽

Time Varying

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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

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Restarted weighted full orthogonalization method for shifted linear systems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.10.088 ◽

2009 ◽

Vol 57 (9) ◽

pp. 1583-1591 ◽

Cited By ~ 16

Author(s):

Yan-Fei Jing ◽

Ting-Zhu Huang

Keyword(s):

Linear Systems ◽

Orthogonalization Method ◽

Shifted Linear Systems

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Solution of shifted linear systems by quasi-minimal residual iterations

Numerical Linear Algebra ◽

10.1515/9783110857658.101 ◽

2012 ◽

Cited By ~ 7

Author(s):

Roland W. Freund

Keyword(s):

Linear Systems ◽

Shifted Linear Systems ◽

Minimal Residual

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On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems

Linear Algebra and its Applications ◽

10.1016/0024-3795(83)90026-5 ◽

1983 ◽

Vol 52-53 (1) ◽

pp. 399-417 ◽

Cited By ~ 5

Author(s):

K Jea

Keyword(s):

Linear Systems ◽

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods

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