Classes of general H-matrices

被引：35

作者：

Bru, R. ^{[1
]}

Corral, C. ^{[1
]}

Gimenez, I. ^{[1
]}

Mas, J. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 10期

关键词：

H-matrices; Generalized diagonally dominant matrices; Jacobi matrix;

D O I：

10.1016/j.laa.2007.10.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M(A) denote the comparison matrix of a square H-matrix A, that is, M(A) is an M-matrix. H-matrices such that their comparison matrices are non-singular are well studied in the literature. In this paper, we study characterizations of H-matrices with either singular or non-singular comparison matrices. The spectral radius of the Jacobi matrix of M(A) and the generalized diagonal dominance property are used in the characterizations. Finally. a classification of the set of general H-matrices is obtained. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2358 / 2366

页数：9

共 19 条

[1] A new iterative criterion for H-matrices
Alanelli, M.
Hadjidimos, A.
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2007, 29 (01) : 160 - 176
[2] Berman A., 1987, NONNEGATIVE MATRICES
[3] On factor width and symmetric H-matrices
Boman, EG
Chen, D
Parekh, O
Toledo, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 405 : 239 - 248
[4] CORRAL C, 2006, P 5 INT C ENG COMP T
[5] New criteria for identifying H-matrices
Cvetkovic, L
Kostic, V
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 180 (02) : 265 - 278
[6] Cvetkovic L, 2004, ELECTRON T NUMER ANA, V18, P73
[7] CONVERGENCE OF BLOCK ITERATIVE METHODS FOR LINEAR-SYSTEMS ARISING IN THE NUMERICAL-SOLUTION OF EULER EQUATIONS
ELSNER, L
MEHRMANN, V
[J]. NUMERISCHE MATHEMATIK, 1991, 59 (06) : 541 - 559
[8] A CLASSIFICATION OF MATRICES OF CLASS-Z
FIEDLER, M
MARKHAM, TL
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 173 : 115 - 124
[9] Simple criteria for nonsingular H-matrices
Gan, TB
Huang, TZ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 374 : 317 - 326
[10] CRITERIA FOR GENERALIZED DIAGONALLY DOMINANT MATRICES AND M-MATRICES
GAO, YM
WANG, XH
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 169 : 257 - 268

← 1 2 →