AN ITERATIVE METHOD FOR SYMMETRIC POSITIVE SEMIDEFINITE LINEAR SYSTEM OF EQUATIONS

被引：0

作者：

Salkuyeh, Davod Khojasteh ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, POB 1914, Rasht, Iran

来源：

DEMONSTRATIO MATHEMATICA | 2014年 / 47卷 / 02期

关键词：

linear system of equations; two-step iterative method; symmetric positive semidefinite; semiconvergence; singular matrix;

D O I：

10.2478/dema-2014-0039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.

引用

页码：482 / 492

页数：11

共 50 条

[1] Iterative Algorithms for Symmetric Positive Semidefinite Solutions of the Lyapunov Matrix Equations
Sun, Min
Liu, Jing
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[2] A new iterative method for solving a class of complex symmetric system of linear equations
Hezari, Davod
Salkuyeh, Davod Khojasteh
Edalatpour, Vahid
[J]. NUMERICAL ALGORITHMS, 2016, 73 (04) : 927 - 955
[3] Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
Hezari, Davod
Edalatpour, Vahid
Salkuyeh, Davod Khojasteh
[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2015, 22 (04) : 761 - 776
[4] A new iterative method for solving a class of complex symmetric system of linear equations
Davod Hezari
Davod Khojasteh Salkuyeh
Vahid Edalatpour
[J]. Numerical Algorithms, 2016, 73 : 927 - 955
[5] The Conjugate Gradient Method for Solving Symmetric and Positive Semidefinite System
Liu, Qiaohua
Wang, Minghui
[J]. ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 206 - 209
[6] Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices
Shirilord, Akbar
Dehghan, Mehdi
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 426
[7] AN ITERATIVE METHOD TO SOLVE SYMMETRIC POSITIVE DEFINITE MATRIX EQUATIONS
Salkuyeh, Davod Khojasteh
Beik, Fatemeh Panjeh Ali
[J]. MATHEMATICAL REPORTS, 2014, 16 (02): : 271 - 283
[8] ITERATIVE METHODS FOR LINEAR-EQUATIONS WITH SYMMETRIC POSITIVE DEFINITIVE MATRIX
MARTIN, DW
TEE, GJ
[J]. COMPUTER JOURNAL, 1961, 4 : 242 - &
[9] Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations
Salkuyeh, Davod Khojasteh
Hezari, Davod
Edalatpour, Vahid
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (04) : 802 - 815
[10] AOR-Uzawa iterative method for a class of complex symmetric linear system of equations
Chen, Cai-Rong
Ma, Chang-Feng
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (09) : 2462 - 2472

← 1 2 3 4 5 →