非奇H-矩阵的充分条件

数学物理学报 ›› 2005, Vol. 25 ›› Issue (3): 409-413.

非奇H-矩阵的充分条件

高中喜, 黄廷祝, 王广彬

电子科技大学应用数学学院,青岛科技大学理学系

出版日期:2005-07-24 发布日期:2005-07-24
基金资助:
教育部“新世纪优秀人才支持计划”项目资助

Sufficient Conditions for Nonsingular H Matrices

GAO Zhong-Chi, HUANG Ting-Chu, WANG An-Ban

Online:2005-07-24 Published:2005-07-24
Supported by:
教育部“新世纪优秀人才支持计划”项目资助

摘要/Abstract

摘要：

非奇H矩阵是具有广泛实际背景的重要矩阵类,但实际判断一个矩阵是否为非奇H矩阵却是困难的.该文给出非奇H矩阵的两个实用且适用范围较广的充分条件. 数值例子说明了结果的优越性.

关键词: H-矩阵,不可约,对角占优性

Abstract:

It is a special matrix class for nonsingular H matrix with wide application s. How to judge the matrix to be a nonsingular H matrix or is a important problem for the computation math ematics. Two sufficient conditions for nonsingular H matrix are given that are an available and necessary supplement in[1-4]. Finally two examples are given to show their explication.

Key words: H-matrix, Irreducibility, Diagonal dominance

高中喜, 黄廷祝, 王广彬. 非奇H-矩阵的充分条件[J]. 数学物理学报, 2005, 25(3): 409-413.

GAO Zhong-Chi, HUANG Ting-Chu, WANG An-Ban. Sufficient Conditions for Nonsingular H Matrices[J]. Acta mathematica scientia,Series A, 2005, 25(3): 409-413.