More on modifications and improvements of classical iterative schemes for M-matrices

被引：58

作者：

Hadjidimos, A ^{[1
]}

Noutsos, D

Tzoumas, M

机构：

[1] Univ Crete, Dept Math, GR-71409 Iraklion, Greece

[2] Fdn Res & Technol Hellas, Inst Appl & Computat Math, GR-71110 Iraklion, Greece

[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[4] Univ Ioannina, Agrin Univ Sch, Dept Management Environm & Nat Resources, GR-30100 Agrinion, Greece

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 364卷

关键词：

Jacobi and Gauss-Seidel iterative methods; Z-; M- and H-matrices;

D O I：

10.1016/S0024-3795(02)00570-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the last four decades many articles have been devoted to the modifications and improvements of classes of preconditioners for linear systems whose matrix coefficient is an M-matrix in order to improve on the convergence rates of the classical iterative schemes (Jacobi, Gauss-Seidel, etc.). The present work is a contribution towards the generalization of the most common preconditioners used so far. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：253 / 279

页数：27

共 16 条

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Berman A., 1994, CLASSICS APPL MATH, DOI [10.1016/C2013-0-10361-3, 10.1137/1.9781611971262, DOI 10.1137/1.9781611971262]

[2] LU DECOMPOSITION OF M-MATRICES BY ELIMINATION WITHOUT PIVOTING [J].