非奇异H矩阵的一组细分迭代判定条件  

A Set of Subdividing and Iterative Criteria for Nonsingular H-matrices

作　　者：山瑞平[1] 陆全[1] 徐仲[1] 张骁[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《工程数学学报》2014年第6期857-864,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10802068)~~

摘　　要：非奇异H矩阵是在科学和工程应用中经常遇到的一类特殊矩阵,研究其判定问题非常重要.本文根据α-链对角占优矩阵与非奇异H矩阵的关系,利用细分区间和构造迭代系数的思想,细分了矩阵的非对角占优行集合,给出了非奇异H矩阵的一组细分迭代判定条件,推广和改进了近期的一些结果.数值算例说明了该判定条件的有效性.Nonsingular H-matrix is a class of special matrices that often arise in science and engineering;so it is very important to know whether a matrix is a nonsingular H-matrix or not. In this paper, by the method of subdivided regions and selecting iterative coecients, which subdivided the set of non-diagonally dominant rows, a set of subdivided and iterative criteria for nonsingular H-matrices are offered according to the relations of α-chain diagonally domi-nance matrices and nonsingular H-matrices, which extend and improve some related results. Effectiveness of such criteria is illustrated by numerical examples.

关 键 词：非奇异H矩阵 α-链对角占优矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]