Notes on matrices with diagonally dominant properties

被引：8
|
作者：
Farid, F. O.
机构：
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 11期
关键词：
Strictly generalized diagonally dominant matrix; Generalized doubly diagonally dominant matrix; Cyclically diagonally dominant matrix; H-MATRICES; CRITERIA; THEOREM;
D O I：
10.1016/j.laa.2011.04.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the relation between some classes of matrices with variants of the diagonal dominance property. We establish a sufficient condition for a generalized doubly diagonally dominant matrix to be invertible. Sufficient conditions for a matrix to be strictly generalized diagonally dominant are also presented. We provide a sufficient condition for the invertibility of a cyclically diagonally dominant matrix. These sufficient conditions do not assume the irreducibility of the matrix. (C) 2011 Elsevier Inc. All rights reserved.
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页码：2793 / 2812
页数：20
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