辽宁石油化工大学学报Issue(3)：85-87,3.DOI:10.3696/j.issn.1672-6952.2013.03.023
非奇异 H-矩阵的一个简捷判别定理
A Simple Criterion for Nonsingular H-Matrix
摘要
Abstract
Let A= (aij )∈ Cn× n ,if there exists α∈(0 ,1) which can make |ai |≥ Rαi (A)S1 -αi (A) be right for ∀ i∈ N={1 ,2 ,⋯ ,N} ,then A is called a αchain diagonally dominant matrix .By using concepts and properties of the αchain diagonally dominant matrices ;irreducible αchain diagonally dominant matrices and generalized strictly αchain diagonally dominant matrices ,some sufficient conditions for a matrix to be a nonsingular H-matrix were given .The results obtained improve the known corresponding results .At last a numerical example is given for illustrating advantage of result .关键词
非奇异 H-矩阵/广义严格α-链对角占优矩阵/不可约矩阵Key words
Nonsingular H-matrix/Generalized strictly αchain diagonally dominant matrix/Irreducible matrix分类
数理科学引用本文复制引用
王晓鸥,宋岱才..非奇异 H-矩阵的一个简捷判别定理[J].辽宁石油化工大学学报,2013,(3):85-87,3.基金项目
国家自然科学基金项目（61104058）。 （）
