非奇异H-矩阵的一组细分迭代判别准则  

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

作　　者：范迎松[1] 陆全[1] 徐仲[1] 高慧敏[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》2012年第6期877-882,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10802068)~~

摘　　要：非奇异H-矩阵在矩阵理论、经济数学、数学物理和动力系统理论方面有着重要应用,本文通过构造递进系数和细分区间的方法,给出了一组非奇异H-矩阵的细分迭代判别准则,推广和改进了相关已有结果,并用数值算例说明这种判别准则的应用广泛性.Nonsingular H-matrices play a very important role in matrix theory, economical mathe- matics, physics and power system theory, etc. In this paper, through selecting coefficient progressively and dividing region recursively, we obtain a set of subdividing and iterative criteria for nonsingular H-matrices, which extend and improve some related results. Advantages are illustrated by numerical examples.

关 键 词：非奇异H-矩阵 对角占优矩阵 不可约矩阵 非零元素链 

分 类 号：O151.21[理学—数学]