A class of new extended generalized shift-splitting preconditioners for 3x3 block saddle point problems

被引：0

作者：

Tang, Qili ^{[1
]}

Wang, Zhijia ^{[1
]}

Yin, Lina ^{[1
]}

机构：

[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Key Lab Intelligent Comp & Informat Proc, Sch Math & Computat Sci,Minist Educ, Xiangtan 411105, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年 / 70卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Saddle point problem; Preconditioner; Shift-splitting; Convergence; GMRES;

D O I：

10.1007/s12190-024-02061-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces a class of new extended generalized shift-splitting (NEGSS)preconditioners for solving the 3x3 block saddle point problems (SPPs). The algorithm implementation of the NEGSS preconditioner, the convergence of the NEGSS iteration method and the eigenvalue distribution of the corresponding preconditioned matrix with parameter t are investigated. Numerical experiments demonstrate the effectiveness of the proposed method and verify our theoretical results.

引用

页码：2569 / 2585

页数：17

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