| 非奇异H-矩阵的几个判别条件 |
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| 引用本文： | 崔琦,宋岱才. 非奇异H-矩阵的几个判别条件[J]. 辽宁石油化工大学学报, 2007, 27(2): 80-83 |
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| 作者姓名： | 崔琦 宋岱才 |
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| 作者单位： | 辽宁石油化工大学理学院,辽宁抚顺,113001;辽宁石油化工大学理学院,辽宁抚顺,113001 |
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| 基金项目： | 辽宁石油化工大学校科研和教改项目 |
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| 摘 要： | 利用Ostrowski对角占优矩阵、不可约Ostrowski对角占优矩阵、广义Ostrowski对角占优矩阵等概念及性质,给出了非奇异H-矩阵几个简洁的判定条件。进一步丰富和完善了Ostrowski对角占优矩阵与判别非奇异H-矩阵的理论,为相关领域如矩阵论、控制论、经济数学等提供了理论研究基础。
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| 关 键 词： | 非奇异H-矩阵 不可约矩阵 广义严格Ostroywski对角占优矩阵 |
| 文章编号： | 1672-6952（2007）02-0080-04 |
| 收稿时间： | 2006-11-16 |
| 修稿时间： | 2007-03-25 |
Some Discriminant Conditions for Nonsingular H-matrix |
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| CUI Qi,SONG Dai-cai. Some Discriminant Conditions for Nonsingular H-matrix[J]. Journal of Liaoning University of Petroleum & Chemical Technology, 2007, 27(2): 80-83 |
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| Authors: | CUI Qi SONG Dai-cai |
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| Abstract: | By using concepts and properties of the Ostrowski diagonally dominant matrices,irreducible Ostrowski diagonally dominant matrices and generalized Ostrowski diagonally dominant matrices,several sufficient conditions for a nonsingular H-matrix were given.The conditions enriches the theory of Ostrowski diagonally dominant matrices and nonsingular H-matrix, which provides theory's base for relative fields' research such as matrix theory,control theory,mathematical economics and so on. |
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| Keywords: | Nonsingular H--matrix Irreducible matrix Generalized strictly Ostrowski diagonally dominant matrices |
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