| 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 |
| DOI： |
| 分类号:O151.21 |
| 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). |
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| A TYPE OF NEW CRITERIA FOR JUDGING NONSINGULAR H-MATRICES |
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WANG Lei-lei, HUANG Hao, LI Quan-bing, LIU Jian-zhou
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College of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
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| 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. |
| Key words: nonsingular H-matrices diagonally dominant matrix irreducibility non-zero element chain |
