Conjugate gradient method for fuzzy symmetric positive definite system of linear equations

被引：83

作者：

Abbasbandy, S ^{[1
]}

Jafarian, A

Ezzati, R

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14515397, Iran

[2] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin 34194288, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 02期

关键词：

fuzzy system of linear equations; iterative method; conjugate gradient method;

D O I：

10.1016/j.amc.2005.01.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the conjugate gradient method, for solving fuzzy symmetric positive definite system of linear equation is considered. The method in detail is discussed and followed by convergence theorem and illustrated by solving some numerical examples. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1184 / 1191

页数：8

共 8 条

[1] Numerical methods for fuzzy system of linear equations [J].

Allahviranloo, T .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (02) :493-502

[2]

BARRETT R, 2000, TEMPLATES SOLUTION L

[3]

Datta B.N., 1995, Numerical Linear Algebra and Applications

[4]

Dubois D., 1980, FUZZY SET SYST

[5] Fuzzy linear systems [J].

Friedman, M ;

Ming, M ;

Kandel, A .

FUZZY SETS AND SYSTEMS, 1998, 96 (02) :201-209

[6] Duality in fuzzy linear systems [J].

Ma, M ;

Friedman, M ;

Kandel, A .

FUZZY SETS AND SYSTEMS, 2000, 109 (01) :55-58

[7] Iteration algorithms for solving a system of fuzzy linear equations [J].

Wang, XZ ;

Zhong, ZM ;

Ha, MH .

FUZZY SETS AND SYSTEMS, 2001, 119 (01) :121-128

[8]

WU CX, 1991, FUZZY SET SYST, V44, P33, DOI 10.1016/0165-0114(91)90030-T

← 1 →