On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices

被引：27

作者：

Darvishi, MT ^{[1
]}

Hessari, P ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah 67149, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 01期

关键词：

iterative methods; GAOR methods; convergence;

D O I：

10.1016/j.amc.2005.09.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain bounds for the spectral radius of the matrix l(omega,r), which is the iterative matrix of generalized accelerated overrelaxation (GAOR) iterative method. We consider a linear system Hy = f, where H is an n x n diagonally dominant real matrix, f is an n-real vector of known values and y is an n-real vector of unknown variables. Sufficient conditions for the convergence of GAOR method will be presented. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：128 / 133

页数：6

共 9 条

[1]

Froberg Carl-Erik, 1985, NUMERICAL MATH THEOR

[2]

HADJIDIMOS A, 1978, MATH COMPUT, V32, P149, DOI 10.1090/S0025-5718-1978-0483340-6

[3]

HADJIDIMOS A, 1978, 3 IOANN DEP MATH, V8

[4]

MARTINS MM, 1980, MATH COMPUT, V35, P1269, DOI 10.1090/S0025-5718-1980-0583503-4

[5]

Searle SR, 1992, VARIANCE COMPONENTS, DOI DOI 10.1002/9780470316856

[6]

Varga RS., 1962, Iterative analysis

[7]

Young D. M., 1971, ITERATIVE SOLUTION L

[8] Convergence of the generalized AOR method [J].

Yuan, JY ;

Jin, XQ .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 99 (01) :35-46

[9] Numerical methods for generalized least squares problems [J].

Yuan, JY .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 66 (1-2) :571-584

← 1 →