鞍点问题的交替LHSS预条件

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-08-28 DOI:10.1590/S1807-03022012000200007

Liu Qingbing

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引用次数: 6

摘要

本文给出了求解鞍点问题的一种新的局部交替厄米和偏厄米分裂预条件。详细研究了预条件矩阵的谱性质。理论结果表明，当迭代参数由正趋于零时，预处理矩阵的所有特征值都会产生两个紧簇，一个在(0,0)附近，另一个在(2,0)附近。通过数值实验验证了该预调节器的性能。数学学科分类:初级:65F10;二级:65 +。

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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An alternating LHSS preconditioner for saddle point problems

In this paper, we present a new alternating local Hermitian and skew-Hermitian splitting preconditioner for solving saddle point problems. The spectral property of the preconditioned matrices is studies in detail. Theoretical results show all eigenvalues of the preconditioned matrices will generate two tight clusters, one is near (0, 0) and the other is near (2, 0) as the iteration parameter tends to zero from positive. Numerical experiments are given to validate the performances of the preconditioner. Mathematical suject classification: Primary: 65F10; Secondary: 65F50.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.