| 非奇异H-矩阵的实用判定 |
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| 引用本文： | 兰溪,孙玉祥.非奇异H-矩阵的实用判定[J].大学数学,2010,26(5). |
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| 作者姓名： | 兰溪 孙玉祥 |
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| 摘 要： | H-矩阵在许多领域中都起着非常重要的作用,例如数学分析、矩阵理论、数学经济学、控制论等.但是在实际运用中判定H-矩阵却十分困难.本文类似于文4],均以α-对角占优理论为基础,给出H-矩阵的若干实用判定,改进了文3]的相应结果.
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| 关 键 词： | 非奇异H-矩阵 广义严格对角占优矩阵 广义严格α-对角占优矩阵 |
Practical Criterion for Nonsingular H-Matrices |
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| LAN Xi,SUN Yu-xiang.Practical Criterion for Nonsingular H-Matrices[J].College Mathematics,2010,26(5). |
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| Authors: | LAN Xi SUN Yu-xiang |
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| Abstract: | H-matrices play avery important role in many fields like Numerical Analysis,Matrix theory,Mathematical Economics,Control theory,etc.But it is difficult to judge H-matrices in practice.In this paper,we give some practical criterions for nonsingular H-matrices abase on the theory ofα-diagonally dominant matrices,it is similar to4].And improve the results of3]. |
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| Keywords: | nonsingular H-matrices generalized strictly diagonally dominant matrix generalized strictlyα-diagonally dominant matrix |
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