A new generalized shift-splitting method for nonsymmetric saddle point problems-Reference-Cited by-同舟云学术

A new generalized shift-splitting method for nonsymmetric saddle point problems

Published:2022-08 Issue:8 Volume:14 Page:168781322211194
ISSN:1687-8132
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Wei Tao¹,Zhang Li-Tao²³⁴^ORCID

Affiliation:

1. School of Software, Henan University of Engineering, Zhengzhou, Henan, P. R. China

2. School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, Henan, P. R. China

3. Collaborative Innovation Center for Aviation Economy Development of Henan Province, Zhengzhou, Henan, P. R. China

4. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan, P. R. China

Abstract

Recently, Huang and Huang [ Journal of Computational and Applied Mathematics, 328 (2018) 381–399] proposed a modified generalized shift-splitting preconditioned (denoted by MGSSP) method for solving large sparse saddle point problems, and gave the corresponding theoretical analysis and numerical experiments. In this paper, based on the modified generalized shift-splitting preconditioned (MGSSP) method, we generalize the MGSSP algorithms and further present the new generalized shift-splitting preconditioned (NGSSP) method for nonsymmetric saddle point problems. Moreover, by similar theoretical analysis, we analyze the convergence conditions of the corresponding matrix splitting iteration methods of the NGSSP preconditioned saddle point matrices. In final, one example is provided to confirm the effectiveness. MSC: 65F10, 65F15, 65F50

Funder

National Natural Science Foundation of China

Basic Research Projects of Key Scientific Research Projects Plan in Henan Higher Education Institutions

natural science foundation of henan province

science and technology innovation talents in universities of henan province

national college students innovation and entrepreneurship training program

key scientific research project of colleges and universities in henan province

Science and Technology Foundation of Henan Province of China

Henan College Students’ Innovation Training Program

Publisher

SAGE Publications

Subject