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非奇异H-矩阵的一个判定条件

刘彦芝 杨晋 孙文静 连耀花 黄明清

中北大学学报(自然科学版)2011,Vol.32Issue(1):14-17,4.
中北大学学报(自然科学版)2011,Vol.32Issue(1):14-17,4.DOI:10.3969/j.issn.1673-3193.2011.01.005

非奇异H-矩阵的一个判定条件

A Critical Condition for Nonsingular H-Matrix

刘彦芝 1杨晋 1孙文静 1连耀花 1黄明清1

作者信息

  • 1. 太原理工大学,理学院,山西,太原,030024
  • 折叠

摘要

Abstract

Based on the concept of diagonally dominant matrices, by compared with the elements of a matrix, by means of some methods in matrix theory and inequality of scaling techniques, the corresponding positive diagonal matrix was constructed, a new sufficient condition to determine nonsingular H-matrices was given and the corresponding results were improved. Thus the applicability of the theorem is remarkably expanded. The advantages were illustrated by a numerical example.

关键词

对角占优矩阵/严格对角占优/非奇异/H-矩阵

Key words

diagonally dominant matrices/ strictly diagonal dominance/ nonsingular H-matrix

分类

数理科学

引用本文复制引用

刘彦芝,杨晋,孙文静,连耀花,黄明清..非奇异H-矩阵的一个判定条件[J].中北大学学报(自然科学版),2011,32(1):14-17,4.

中北大学学报(自然科学版)

OA北大核心CSTPCD

1673-3193

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