Convergence properties of some block Krylov subspace methods for multiple linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.09.017 ◽

2006 ◽

Vol 196 (2) ◽

pp. 498-511 ◽

Author(s):

R. Bouyouli ◽

K. Jbilou ◽

R. Sadaka ◽

H. Sadok

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Convergence Properties ◽

Block Krylov Subspace Methods ◽

Multiple Linear Systems

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Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)90237-6 ◽

2000 ◽

Vol 114 (2) ◽

pp. 305-318 ◽

Author(s):

Yimin Wei ◽

Hebing Wu

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Convergence Properties ◽

Singular Linear Systems

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Investigation of Block Krylov Subspace Methods with Dummy Right-Hand Sides for Solving Linear Systems Obtained By Extended Element-Free Galerkin Method

International Conference on Computational & Experimental Engineering and Sciences ◽

10.32604/icces.2019.05521 ◽

2019 ◽

Vol 21 (2) ◽

pp. 44-44

Author(s):

Taku Itoh ◽

Soichiro Ikuno

Keyword(s):

Galerkin Method ◽

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Block Krylov Subspace Methods ◽

Element Free ◽

Extended Element

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A Class of Preconditioners for Large Indefinite Linear Systems, as By-Product of Krylov Subspace Methods: Part I

SSRN Electronic Journal ◽

10.2139/ssrn.2037861 ◽

2011 ◽

Author(s):

Giovanni Fasano ◽

Massimo Roma

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Indefinite Linear Systems

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Krylov Subspace Methods for Linear Systems with Tensor Product Structure

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/090756843 ◽

2010 ◽

Vol 31 (4) ◽

pp. 1688-1714 ◽

Author(s):

Daniel Kressner ◽

Christine Tobler

Keyword(s):

Tensor Product ◽

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Product Structure ◽

Subspace Methods

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Folded Preconditioner: A New Class of Preconditioners for Krylov Subspace Methods to Solve Redundancy-Reduced Linear Systems of Equations

IEEE Transactions on Magnetics ◽

10.1109/tmag.2009.2014156 ◽

2009 ◽

Vol 45 (5) ◽

pp. 2068-2075 ◽

Author(s):

T. Mifune ◽

Y. Takahashi ◽

T. Iwashita

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Systems Of Equations ◽

Subspace Methods ◽

New Class ◽

Linear Systems Of Equations

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Block Krylov subspace methods for approximating the linear combination of φ-functions arising in exponential integrators

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.05.031 ◽

2016 ◽

Vol 72 (4) ◽

pp. 846-855 ◽

Author(s):

Yuhao Cong ◽

Dongping Li

Keyword(s):

Linear Combination ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Exponential Integrators ◽

Block Krylov Subspace Methods

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Mixed Precision Iterative Refinement Methods for Linear Systems: Convergence Analysis Based on Krylov Subspace Methods

Applied Parallel and Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-28145-7_24 ◽

2012 ◽

pp. 237-247 ◽

Author(s):

Hartwig Anzt ◽

Vincent Heuveline ◽

Björn Rocker

Keyword(s):

Convergence Analysis ◽

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Iterative Refinement ◽

Subspace Methods ◽

Mixed Precision

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Deflated block Krylov subspace methods for large scale eigenvalue problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.058 ◽

2010 ◽

Vol 234 (3) ◽

pp. 636-648 ◽

Author(s):

Qiang Niu ◽

Linzhang Lu

Keyword(s):

Large Scale ◽

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Block Krylov Subspace Methods

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The convergence of Krylov subspace methods for large unsymmetric linear systems

Acta Mathematica Sinica English Series ◽

10.1007/bf02580408 ◽

1998 ◽

Vol 14 (4) ◽

pp. 507-518 ◽

Author(s):

Jia Zhongxiao

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Unsymmetric Linear Systems

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Iterative solution of linear systems

Acta Numerica ◽

10.1017/s0962492900002245 ◽

1992 ◽

Vol 1 ◽

pp. 57-100 ◽

Author(s):

Roland W. Freund ◽

Gene H. Golub ◽

Noël M. Nachtigal

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Conjugate Gradient ◽

Krylov Subspace ◽

Iterative Solution ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Recent Advances ◽

Gradient Type ◽

Large Linear Systems

Recent advances in the field of iterative methods for solving large linear systems are reviewed. The main focus is on developments in the area of conjugate gradient-type algorithms and Krylov subspace methods for nonHermitian matrices.

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