The alternate direction iterative methods for generalized saddle point systems

被引：0

作者：

Luo, Shuanghua ^{[1
]}

Cui, Angang ^{[2
]}

Zhang, Cheng-yi ^{[3
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Math & Satist, Xian, Shaanxi, Peoples R China

[3] Xi An Jiao Tong Univ, Sch Econ & Finance, Xian, Shaanxi, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Alternate direction iterative method; Generalized saddle point system; Convergence; HERMITIAN SPLITTING METHODS; PRECONDITIONER; STOKES;

D O I：

10.1186/s13660-019-2235-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies two splitting forms of generalized saddle point matrix to derive two alternate direction iterative schemes for generalized saddle point systems. Some convergence results are established for these two alternate direction iterative methods. Meanwhile, a numerical example is given to show that the proposed alternate direction iterative methods are much more effective and efficient than the existing one.

引用

页数：11

共 50 条

[21] Preconditioned iterative methods for algebraic saddle-point problems
Kuznetsov, Yu.
JOURNAL OF NUMERICAL MATHEMATICS, 2009, 17 (01) : 67 - 75
[22] ITERATIVE SADDLE POINT TECHNIQUES
BUTZ, AR
SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (03) : 719 - &
[23] New perturbation analysis for generalized saddle point systems
Xu, Weiwei
Li, Wen
CALCOLO, 2009, 46 (01) : 25 - 36
[24] Iterative Solution of Saddle-Point Systems of Linear Equations
Il’in V.P.
Kazantcev G.Y.
Journal of Mathematical Sciences, 2020, 249 (2) : 199 - 208
[25] Structured backward errors for generalized saddle point systems
Chen, Xiao Shan
Li, Wen
Chen, Xiaojun
Liu, Jun
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3109 - 3119
[26] Preconditioned iterative method for nonsymmetric saddle point linear systems
Liao, Li-Dan
Zhang, Guo-Feng
Wang, Xiang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 98 (98) : 69 - 80
[27] New perturbation analysis for generalized saddle point systems
Weiwei Xu
Wen Li
Calcolo, 2009, 46 : 25 - 36
[28] Generalized ASOR and Modified ASOR Methods for Saddle Point Problems
Huang, Zhengge
Wang, Ligong
Xu, Zhong
Cui, Jingjing
MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
[29] On parameterized inexact Uzawa methods for generalized saddle point problems
Bai, Zhong-Zhi
Wang, Zeng-Qi
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (11-12) : 2900 - 2932
[30] Multigrid methods for saddle point problems: Darcy systems
Brenner, Susanne C.
Oh, Duk-Soon
Sung, Li-Yeng
NUMERISCHE MATHEMATIK, 2018, 138 (02) : 437 - 471

← 1 2 3 4 5 →