On the convergence of general stationary iterative methods for range-Hermitian singular linear systems

Naimin Zhang; Yi-Min Wei

doi:10.1002/nla.663

On the convergence of general stationary iterative methods for range-Hermitian singular linear systems

Numerical Linear Algebra with Applications ◽

10.1002/nla.663 ◽

2009 ◽

Vol 17 (1) ◽

pp. 139-154 ◽

Cited By ~ 39

Author(s):

Naimin Zhang ◽

Yi-Min Wei

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Stationary Iterative Methods ◽

Singular Linear Systems

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On the convergence of iterative methods for solving singular linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00531-3 ◽

2002 ◽

Vol 145 (1) ◽

pp. 1-9 ◽

Cited By ~ 22

Author(s):

Zhi-Hao Cao

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Singular Linear Systems

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Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/080714038 ◽

2008 ◽

Vol 30 (2) ◽

pp. 925-938 ◽

Cited By ~ 13

Author(s):

Andreas Frommer ◽

Reinhard Nabben ◽

Daniel B. Szyld

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Schwarz Methods ◽

Stationary Iterative Methods

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On the Convergence of Simulation-based Iterative Methods for Solving Singular Linear Systems

Stochastic Systems ◽

10.1287/12-ssy074 ◽

2013 ◽

Vol 3 (1) ◽

pp. 38-95

Author(s):

Mengdi Wang ◽

Dimitri P. Bertsekas

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Simulation Based ◽

Singular Linear Systems

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Optimum stationary and nonstationary iterative methods for the solution of singular linear systems

Numerische Mathematik ◽

10.1007/bf01400353 ◽

1987 ◽

Vol 51 (5) ◽

pp. 517-530 ◽

Cited By ~ 3

Author(s):

A. Hadjidimos

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Singular Linear Systems

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Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems

SIAM Journal on Numerical Analysis ◽

10.1137/0714047 ◽

1977 ◽

Vol 14 (4) ◽

pp. 699-705 ◽

Cited By ~ 58

Author(s):

Carl D. Meyer, Jr. ◽

R. J. Plemmons

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Singular Linear Systems

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Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(85)90027-5 ◽

1985 ◽

Vol 12-13 ◽

pp. 319-329

Author(s):

A. Hadjidimos

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Singular Linear Systems

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Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems

Numerische Mathematik ◽

10.1007/s002110100379 ◽

2003 ◽

Vol 93 (3) ◽

pp. 563-581 ◽

Cited By ~ 7

Author(s):

Avram Sidi ◽

Yuliya Kanevsky

Keyword(s):

Orthogonal Polynomials ◽

Linear Systems ◽

Iterative Methods ◽

Inverse Solution ◽

Drazin Inverse ◽

Singular Linear Systems

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On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems

Linear Algebra and its Applications ◽

10.1016/j.laa.2014.04.011 ◽

2014 ◽

Vol 453 ◽

pp. 192-201 ◽

Cited By ~ 2

Author(s):

Andreas Frommer ◽

Daniel B. Szyld

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Necessary Conditions ◽

Stationary Iterative Methods

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Semiconvergence of extrapolated iterative methods for singular linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00060-6 ◽

1999 ◽

Vol 106 (1) ◽

pp. 117-129 ◽

Cited By ~ 9

Author(s):

Yongzhong Song

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Singular Linear Systems

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Semiconvergence of two-stage iterative methods for singular linear systems

Linear Algebra and its Applications ◽

10.1016/j.laa.2006.12.009 ◽

2007 ◽

Vol 422 (2-3) ◽

pp. 824-838 ◽

Cited By ~ 2

Author(s):

Li Wang

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Two Stage ◽

Singular Linear Systems

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