An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500382579 ◽

2002 ◽

Vol 24 (1) ◽

pp. 312-334 ◽

Author(s):

Gene H. Golub ◽

Qiang Ye

Keyword(s):

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Method ◽

Subspace Method ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems ◽

Preconditioned Krylov Subspace Method

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A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.10.071 ◽

2010 ◽

Vol 233 (5) ◽

pp. 1298-1313 ◽

Author(s):

Patrick Quillen ◽

Qiang Ye

Keyword(s):

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Method ◽

Subspace Method ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems ◽

Preconditioned Krylov Subspace Method

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A refined variant of the inverse-free Krylov subspace method for symmetric generalized eigenvalue problems

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-013-0109-1 ◽

2013 ◽

Vol 30 (2) ◽

pp. 465-482 ◽

Author(s):

Xiang Wang ◽

Lin-zhang Lu ◽

Qiang Niu ◽

Yong-ming Nie

Keyword(s):

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Method ◽

Subspace Method ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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A refined shifted block inverse-free Krylov subspace method for symmetric generalized eigenvalue problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.07.023 ◽

2013 ◽

Vol 66 (6) ◽

pp. 1137-1146 ◽

Author(s):

Xiang Wang ◽

Yong-ming Nie

Keyword(s):

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Method ◽

Subspace Method ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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Preconditioned Krylov subspace method for the solution of least-squares problems

PAMM ◽

10.1002/pamm.200701146 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2020151-2020152 ◽

Author(s):

jun-Feng Yin ◽

Ken Hayami ◽

Zhong-Zhi Bai

Keyword(s):

Least Squares ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Least Squares Problems ◽

Preconditioned Krylov Subspace Method

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Deflation by restriction for the inverse-free preconditioned Krylov subspace method

Numerical Algebra Control and Optimization ◽

10.3934/naco.2016.6.55 ◽

2016 ◽

Vol 6 (1) ◽

pp. 55-71

Author(s):

Qiao Liang ◽

Qiang Ye

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Preconditioned Krylov Subspace Method

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A multigrid-based preconditioned Krylov subspace method for the Helmholtz equation with PML

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.05.054 ◽

2011 ◽

Vol 383 (2) ◽

pp. 522-540 ◽

Author(s):

Zhongying Chen ◽

Dongsheng Cheng ◽

Wei Feng ◽

Tingting Wu ◽

Hongqi Yang

Keyword(s):

Helmholtz Equation ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Preconditioned Krylov Subspace Method

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Variable Preconditioned Krylov Subspace Method With Communication Avoiding Technique for Electromagnetic Analysis

IEEE Transactions on Magnetics ◽

10.1109/tmag.2017.2655513 ◽

2017 ◽

Vol 53 (6) ◽

pp. 1-4 ◽

Author(s):

Soichiro Ikuno ◽

Gong Chen ◽

Taku Itoh ◽

Susumu Nakata ◽

Kuniyoshi Abe

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Method ◽

Electromagnetic Analysis ◽

Subspace Method ◽

Preconditioned Krylov Subspace Method

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Variable preconditioned Krylov subspace method with communication avoiding technique for electromagnetic analysis

2016 IEEE Conference on Electromagnetic Field Computation (CEFC) ◽

10.1109/cefc.2016.7816153 ◽

2016 ◽

Author(s):

Soichiro Ikuno ◽

Gong Chen ◽

Taku Itoh ◽

Susumu Nakata ◽

Kuniyoshi Abe

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Method ◽

Electromagnetic Analysis ◽

Subspace Method ◽

Preconditioned Krylov Subspace Method

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A matrix-free preconditioned Krylov-subspace method for the PNS equations

10.2514/6.1998-111 ◽

1998 ◽

Author(s):

Scott Shaw ◽

Ning Qin

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Preconditioned Krylov Subspace Method ◽

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Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems

JSIAM Letters ◽

10.14495/jsiaml.10.77 ◽

2018 ◽

Vol 10 (0) ◽

pp. 77-80

Author(s):

Takahiro Yano ◽

Yasunori Futamura ◽

Akira Imakura ◽

Tetsuya Sakurai

Keyword(s):

Performance Evaluation ◽

Krylov Subspace ◽

Eigenvalue Problems ◽

Linear Solver ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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