非奇异H-矩阵的新判定  

New Criteria for Nonsingular H-Matrices

作　　者：张争争 张娟 ZHANG Zheng-zheng, ZHANG Juan(Department of Mathematics Xiangtan University, Hunan Xiangtan 411105, Chin)

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《重庆工商大学学报（自然科学版）》2018年第1期79-82,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金青年项目(11401505);博士后科学基金面上资助一等资助项目(2015M582819);湖南省自然科学基金青年项目(2017JJ3305);湖南省教育厅青年项目(16B257)

摘　　要：非奇异H-矩阵由于在众多领域的广泛应用而受到人们的普遍关注.利用具有非零元素链的α-对角占优矩阵和不可约α-对角占优矩阵的一些性质,对已有的一些结果进行了改进与推广并且给出了非奇异H-矩阵的新判定准则,最后用数值例子证明了准则的有效性.Nonsingular H-Matrices have been widely concerned because of their wide application in many fields. In this paper,by using some properties of α-diagonally dominant matrix with a chain of non-zero elements and irreducibly α-diagonally dominant matrix,we improved and generalized some results and gave new criteria for nonsingular H-Matrices. Finally,a corresponding numerical example is given to illustrate the effectiveness of the new criteria.

关 键 词：非零元素链 Α-对角占优矩阵 不可约矩阵 非奇异H-矩阵 

分 类 号：O151.21[理学—数学]