非奇H-矩阵的一组细分迭代判定条件

摘要

本文研究了非奇H-矩阵的细分迭代判定问题.利用细分和迭代的方法,细分了矩阵的非对角占优行集合,并且构造了递进系数,得到了非奇H-矩阵的一组细分迭代判定条件,推广和改进了已有的相关结果.数值算例说明了这些判定方法的有效性.%This paper is focused on the problem of subdividing and iterative criteria for nonsingular H-matrices. By the method of subdivided region and iteration, we subdivide the index set of non diagonally dominant row in a square matrix, and select coefficient progressively, and we obtain a set of subdividing and iterative criteria for nonsingular H-matrices. Some related results are improved. Examples illustrate the effectiveness of these criteria.