Title :
Convergence of the Modified Gauss-Seidel Method for H-matrices
Author_Institution :
Zhejiang Wanli Univ., Ningbo
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;
Conference_Titel :
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2875-5
DOI :
10.1109/ICNC.2007.317
