非奇异H-矩阵的一组判定条件  

A Set of Determinate Conditions for Nonsingular H-matrices

作　　者：崔静静[1] 陆全[1] 徐仲[1] 安晓虹[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》2016年第2期163-174,共12页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10802068)~~

摘　　要：非奇异H-矩阵在计算方法、物理数学、生物学、矩阵论、控制理论等领域有着广泛的应用,如何有效地判定一个矩阵是否为非奇异H-矩阵,一直是人们关心的问题.本文利用矩阵指标集的k-级划分,给出了非奇异H-矩阵的一组判定条件,改进和推广了近期的相关结果,并用数值算例说明本文判定方法的有效性.Nonsingular H-matrices has a wide range of applications in computational mathe-matics, physical mathematics, biology, matrix theory and control theory, etc. How to specify nonsingular H-matrices effectively has always been paid attention. In the paper, by applying k-partition of matrices index set, a set of determinate conditions for nonsingular H-matrices are given, which improve and generalize some recent related results. The effectiveness of these determinate conditions in this paper is illustrated with numerical examples.

关 键 词：非奇异H-矩阵 对角占优矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]