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2007•Unpublished venueRequires access

Convergence of the Modified Gauss-Seidel Method for H-matrices

Qingbing Liu

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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 anH- matrices. This directly leads to several novel sufficient conditions for guaranteeing the convergence of the preconditioned iterative method.

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What this paper is about

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 anH- matrices. This directly leads to several novel sufficient conditions for guaranteeing the convergence of the preconditioned iterative method.

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Available 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 anH- matrices. This directly leads to several novel sufficient conditions for guaranteeing the convergence of the preconditioned iterative method.

Key concepts: Preconditioner, Gauss–Seidel method, Convergence (economics), Applied mathematics, Matrix (chemical analysis), Iterative method, Mathematics, Computer science

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