鞍点问题的SHSS预条件

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20220552

Cuixia Li, Shiliang Wu

{"title":"鞍点问题的SHSS预条件","authors":"Cuixia Li, Shiliang Wu","doi":"10.11948/20220552","DOIUrl":null,"url":null,"abstract":"In this paper, building on the previous published work by Li and Wu [Appl. Math, Lett., 2015, 44, 26–29], we extend the single-step HSS (SHSS) method for saddle point problems. Based on the idea of SHSS method, the SHSS preconditioner for solving saddle point problems is introduced. We discuss the spectral properties of the preconditioned matrix in detail. By some numerical experiments, we demonstrate the effectiveness of the SHSS preconditioner.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"52 1","pages":"0"},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS\",\"authors\":\"Cuixia Li, Shiliang Wu\",\"doi\":\"10.11948/20220552\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, building on the previous published work by Li and Wu [Appl. Math, Lett., 2015, 44, 26–29], we extend the single-step HSS (SHSS) method for saddle point problems. Based on the idea of SHSS method, the SHSS preconditioner for solving saddle point problems is introduced. We discuss the spectral properties of the preconditioned matrix in detail. By some numerical experiments, we demonstrate the effectiveness of the SHSS preconditioner.\",\"PeriodicalId\":48811,\"journal\":{\"name\":\"Journal of Applied Analysis and Computation\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Analysis and Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11948/20220552\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11948/20220552","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

在这篇论文中，基于Li和Wu [apple]先前发表的工作。数学,列托人。[j]，对鞍点问题的单步HSS (SHSS)方法进行了扩展。基于SHSS方法的思想，引入了求解鞍点问题的SHSS预条件。详细讨论了预条件矩阵的谱性质。通过一些数值实验，我们证明了SHSS预调节器的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS

In this paper, building on the previous published work by Li and Wu [Appl. Math, Lett., 2015, 44, 26–29], we extend the single-step HSS (SHSS) method for saddle point problems. Based on the idea of SHSS method, the SHSS preconditioner for solving saddle point problems is introduced. We discuss the spectral properties of the preconditioned matrix in detail. By some numerical experiments, we demonstrate the effectiveness of the SHSS preconditioner.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.