| 非奇异H-矩阵的一类新判定 |
| |
| 引用本文： | 王磊磊,黄浩,李全兵,刘建州.非奇异H-矩阵的一类新判定[J].数学杂志,2015,35(6):1504-1510. |
| |
| 作者姓名： | 王磊磊 黄浩 李全兵 刘建州 |
| |
| 作者单位： | 湘潭大学数学与计算科学学院, 湖南 湘潭 411105,湘潭大学数学与计算科学学院, 湖南 湘潭 411105,湘潭大学数学与计算科学学院, 湖南 湘潭 411105,湘潭大学数学与计算科学学院, 湖南 湘潭 411105 |
| |
| 基金项目： | 国家自然科学基金项目(11361038);湖南省教育厅重点资助项目(12A137). |
| |
| 摘 要： | 本文研究了非奇异H-矩阵的数值判定问题.利用不等式的放缩方法,获得了一类判别非奇异H-矩阵的新判据,推广了相关已有结果,并通过数值实例说明了本文结果判断范围的更广泛性.
|
| 关 键 词： | 非奇异H-矩阵 对角占优矩阵 不可约 非零元素链 |
| 收稿时间： | 2013/10/11 0:00:00 |
| 修稿时间： | 2013/10/29 0:00:00 |
A TYPE OF NEW CRITERIA FOR JUDGING NONSINGULAR H-MATRICES |
| |
| WANG Lei-lei,HUANG Hao,LI Quan-bing and LIU Jian-zhou.A TYPE OF NEW CRITERIA FOR JUDGING NONSINGULAR H-MATRICES[J].Journal of Mathematics,2015,35(6):1504-1510. |
| |
| Authors: | WANG Lei-lei HUANG Hao LI Quan-bing and LIU Jian-zhou |
| |
| Institution: | College of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China,College of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China,College of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China and College of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China |
| |
| Abstract: | The numerical criteria for judging nonsingular H-matrices is studied in this paper. A type of new criteria for identifying nonsingular H-matrices is obtained by applying some techniques of inequalities, which extends some related and existed results. The universality of the proposed criteria is illustrated by a numerical example. |
| |
| Keywords: | nonsingular H-matrices diagonally dominant matrix irreducibility non-zero element chain |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
