AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (446.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

A generalized Shift-HSS splitting method for nonsingular saddle point problems

School of Science, Chongqing University of Technology, Chongqing, 400054, China
School of Mathematics and Physics, Guangxi Minzu University, Nanning, 530006, China
Show Author Information

Abstract

In this paper, we propose a generalized shift-HSS (denoted by SFHSS) iteration method for solving nonsingular saddle point systems with nonsymmetric positive definite (1, 1)-block sub-matrix, and theoretically verify its convergence property. In addition, we discuss the algebraic properties of the resulted SFHSS preconditioner and estimate the sharp eigenvalue bounds of the related preconditioned matrix. Finally, numerical experiments are given to support our theoretical results and reveal that the new method is feasible and effective.

Keywords

generalized shift-HSS splittingconvergence propertynonsymmetric positive definitenonsingularKrylov subspace methods
CLC number: 65F08, 65F10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13508-13536
DOI: 10.3934/math.2022747

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Huang Z-H. A generalized Shift-HSS splitting method for nonsingular saddle point problems. AIMS Mathematics, 2022, 7(7): 13508-13536. https://doi.org/10.3934/math.2022747

5

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 23 April 2022
Accepted: 05 May 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)