双严格积γ-链对角占优矩阵的判定  

Determination of Double Strict Product γ-chain Diagonally Dominant Matrix

作　　者：蒋建新[1] 

机构地区：[1]文山学院数学学院,云南文山663000

出　　处：《广西师范学院学报（自然科学版）》2017年第1期14-17,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：云南省教育厅科学研究基金项目(2013Y585);文山学院重点学科数学建设项目(12WSXK01)

摘　　要：H-矩阵是矩阵子类中非常重要的一类矩阵,而它自身又包含了许多子类.发现H-矩阵的新子类或找到判别新子类的条件,都是引人注目的工作.该文研究了H-矩阵的子类—双严格积γ-链对角占优矩阵,给出了判断H-矩阵的两个判定定理,这些定理中的条件只与矩阵的元素有关,计算起来较为方便.H-matrix is a very important kind of matrix in subclasses of matrix, which itself has a lot of subclasses. If a new class of matrix or a new class of judgment conditions can be found, it is a contribution to matrix. In this paper, a study of a subclass of H-matrix-double strict product γ-chain diagonally dominant matrix is made, two theorems of judgment H-matrix are given, and these conditions in theorem only have relations with the matrix elements, which results in more convenient calcu- lation.

关 键 词：双严格积γ-链对角占优矩阵 H一矩阵 不等式 

分 类 号：O151.21[理学—数学]