A general fast shift-splitting iteration method for nonsymmetric saddle point problems

被引：3
作者：
Zhang, Jing [1 ]
Miao, Shu-Xin [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Nonsymmetric saddle point problem; General fast shift-splitting iteration method; Convergence; Semi-convergence; Preconditioning; DETERIORATED PSS PRECONDITIONER; INEXACT UZAWA METHOD; SEMI-CONVERGENCE;
D O I：
10.1007/s40314-021-01618-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For nonsymmetric saddle point problems, the fast shift-splitting method and its generalized form are studied recently. In this paper, a general fast shift-splitting iteration method is proposed for solving nonsymmetric saddle point problems. The convergence and the semi-convergence of the proposed iteration method, respectively, for nonsingular and singular nonsymmetric saddle point problems are studied, respectively. Meanwhile, the spectral properties of the corresponding preconditioned matrix are analyzed in details. Numerical examples with experiments are given to show the robustness and the efficiency of the proposed method.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] A general fast shift-splitting iteration method for nonsymmetric saddle point problems
    Jing Zhang
    Shu-Xin Miao
    Computational and Applied Mathematics, 2021, 40
  • [2] A Fast Shift-Splitting Iteration Method for Nonsymmetric Saddle Point Problems
    Dou, Quan-Yu
    Yin, Jun-Feng
    Liao, Ze-Yu
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 7 (01) : 172 - 191
  • [3] Parameterized generalized shift-splitting preconditioners for nonsymmetric saddle point problems
    Huang, Zheng-Ge
    Wang, Li-Gong
    Xu, Zhong
    Cui, Jing-Jing
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (02) : 349 - 373
  • [4] A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems
    Vakili, Seryas
    Ebadi, Ghodrat
    Vuik, Cornelis
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2023, 30 (04)
  • [5] A modified generalized shift-splitting preconditioner for nonsymmetric saddle point problems
    Huang, Zheng-Ge
    Wang, Li-Gong
    Xu, Zhong
    Cui, Jing-Jing
    NUMERICAL ALGORITHMS, 2018, 78 (01) : 297 - 331
  • [6] A modified generalized shift-splitting preconditioner for nonsymmetric saddle point problems
    Zheng-Ge Huang
    Li-Gong Wang
    Zhong Xu
    Jing-Jing Cui
    Numerical Algorithms, 2018, 78 : 297 - 331
  • [7] The generalized modified shift-splitting preconditioners for nonsymmetric saddle point problems
    Huang, Zheng-Ge
    Wang, Li-Gong
    Xu, Zhong
    Cui, Jing-Jing
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 299 : 95 - 118
  • [8] On semi-convergence of the generalized shift-splitting iteration method for singular nonsymmetric saddle point problems
    Cao, Yang
    Miao, Shu-Xin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (07) : 1503 - 1511
  • [9] A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems
    Cao, Yang
    Li, Sen
    Yao, Lin-Quan
    APPLIED MATHEMATICS LETTERS, 2015, 49 : 20 - 27
  • [10] A new generalized shift-splitting method for nonsymmetric saddle point problems
    Wei, Tao
    Zhang, Li-Tao
    ADVANCES IN MECHANICAL ENGINEERING, 2022, 14 (08)
12345