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

Avram Sidi; Yuliya Kanevsky

doi:10.1007/s002110100379

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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New methods for computing the Drazin-inverse solution of singular linear systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.09.013 ◽

2017 ◽

Vol 294 ◽

pp. 343-352 ◽

Cited By ~ 3

Author(s):

F. Toutounian ◽

R. Buzhabadi

Keyword(s):

Linear Systems ◽

Inverse Solution ◽

Drazin Inverse ◽

New Methods ◽

Singular Linear Systems

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Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems

Linear Algebra and its Applications ◽

10.1016/0024-3795(92)90346-c ◽

1992 ◽

Vol 167 ◽

pp. 171-203 ◽

Cited By ~ 5

Author(s):

Avram Sidi

Keyword(s):

Linear Systems ◽

Inverse Solution ◽

Drazin Inverse ◽

Extrapolation Methods ◽

Iterative Techniques ◽

Singular Linear Systems

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DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-016-0585-6 ◽

2016 ◽

Vol 32 (2) ◽

pp. 549-558 ◽

Cited By ~ 1

Author(s):

Bin Meng

Keyword(s):

Linear Systems ◽

Inverse Solution ◽

Drazin Inverse ◽

Singular Linear Systems

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An Improved DGMRES Algorithm for Computing the Drazin-inverse Solution of Singular Linear Systems

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2015/19959 ◽

2015 ◽

Vol 11 (4) ◽

pp. 1-10

Author(s):

Alireza Ataei

Keyword(s):

Linear Systems ◽

Inverse Solution ◽

Drazin Inverse ◽

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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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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A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index

Electronic Journal of Linear Algebra ◽

10.13001/1081-3810.1041 ◽

1999 ◽

Vol 6 ◽

Cited By ~ 3

Author(s):

Avramand Sidi ◽

Vladimir Kluzner

Keyword(s):

Iterative Method ◽

Linear Systems ◽

Inverse Solution ◽

Drazin Inverse ◽

Nonsymmetric Linear Systems

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Comment on “condition number of Drazin inverse and their condition numbers of singular linear systems”

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.10.008 ◽

2008 ◽

Vol 199 (2) ◽

pp. 512-526 ◽

Cited By ~ 2

Author(s):

Jueping Chen ◽

Zhaoliang Xu

Keyword(s):

Linear Systems ◽

Condition Number ◽

Drazin Inverse ◽

Condition Numbers ◽

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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Condition number related with W-weighted Drazin inverse and singular linear systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.119 ◽

2005 ◽

Vol 162 (1) ◽

pp. 435-446 ◽

Cited By ~ 8

Author(s):

Guorong Wang ◽

Chao Gu

Keyword(s):

Linear Systems ◽

Condition Number ◽

Drazin Inverse ◽

Weighted Drazin Inverse ◽

Singular Linear Systems

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