DocumentCode
1591884
Title
Convergence of the Modified Gauss-Seidel Method for H-matrices
Author
Liu, Qingbing
Author_Institution
Zhejiang Wanli Univ., Ningbo
Volume
3
fYear
2007
Firstpage
268
Lastpage
271
Abstract
In this paper, we present a new preconditioner which is different from the preconditioner given by Milaszewicz, and prove the monotone convergence theory about this method when the coefficient matrix is an H - matrices. This directly leads to several novel sufficient conditions for guaranteeing the convergence of the preconditioned iterative method.
Keywords
convergence of numerical methods; iterative methods; matrix algebra; H-matrices; coefficient matrix; modified Gauss-Seidel method; monotone convergence theory; preconditioned iterative method; Computer science; Convergence; Gaussian processes; Information technology; Iterative methods; Jacobian matrices; Linear systems; Mathematics; Sufficient conditions; Vectors; Gauss-Seidel method; H- matrix; H- splitting; Preconditioned iterative; method;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location
Haikou
Print_ISBN
978-0-7695-2875-5
Type
conf
DOI
10.1109/ICNC.2007.317
Filename
4344519
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