h矩阵的改进Gauss-Seidel方法的收敛性

Third International Conference on Natural Computation (ICNC 2007) Pub Date : 2007-08-24 DOI:10.1109/ICNC.2007.317

Qingbing Liu

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引用次数: 2

摘要

本文给出了一种不同于Milaszewicz给出的预条件的新预条件，并证明了该方法在系数矩阵为H -矩阵时的单调收敛性。这直接导致了几个新的充分条件来保证预条件迭代法的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Third International Conference on Natural Computation (ICNC 2007)

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