非奇异H-矩阵的一组判定条件  

A Group of Critical Conditions for Non-singular H-Matrix

作　　者：刘彦芝[1] 党云贵[1] 

机构地区：[1]吕梁学院数学系,山西吕梁033000

出　　处：《佳木斯大学学报（自然科学版）》2016年第2期318-320,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：本文首先推广α-对角占优矩阵的概念到广义α-对角占优矩阵;然后构造出两个乘积因子,利用α-对角占优矩阵的概念及性质,给出非奇异H-矩阵几个简捷的判别定理,并利用数值实例验证了它们的有效性,从而丰富和完善了α-对角占优矩阵与非奇异H-矩阵的理论,更为计算数学、矩阵论、控制论、经济数学等相关领域的研究奠定了基础.This article firstly extend the concept of α- diagonally dominant matrix to generalized α- diagonally dominant matrix,then construct two multiplier factors,and apply the concepts and properties of α- diagonally dominant matrix,obtained some simple criterion for non- singular H- matrix,and then verify their effectiveness with numerical example. Thereby the theory of α- diagonally dominant matrix and non- singular H-matrix are enriched and improved.

关 键 词：非奇异H-阵 Α-对角占优矩阵 乘积因子 

分 类 号：O29[理学—应用数学]