非对称鞍点问题的参数化扩展移位分裂预条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-11-29 DOI:10.1002/nla.2478

Seryas Vakili, G. Ebadi, C. Vuik

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引用次数: 1

摘要

本文给出了求解具有非对称正定(1,1)部分的非奇异非对称鞍点问题的参数化扩展移位分裂(PESS)方法及其诱导预条件。讨论了PESS $$ PESS $$迭代法的收敛性分析。给出了预条件矩阵的特征值分布。通过实验验证了PESS $$ PESS $$方法求解非对称鞍点问题的有效性。

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A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems

In this article, a parameterized extended shift‐splitting (PESS) method and its induced preconditioner are given for solving nonsingular and nonsymmetric saddle point problems with nonsymmetric positive definite (1,1) part. The convergence analysis of the PESS$$ PESS $$ iteration method is discussed. The distribution of eigenvalues of the preconditioned matrix is provided. A number of experiments are given to verify the efficiency of the PESS$$ PESS $$ method for solving nonsymmetric saddle‐point problems.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.