| α-对角占优与广义严格对角占优矩阵的判定 |
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| 引用本文： | 张月朗,莫宏敏,刘建州.α-对角占优与广义严格对角占优矩阵的判定[J].高等学校计算数学学报,2009,31(2). |
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| 作者姓名： | 张月朗 莫宏敏 刘建州 |
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| 作者单位： | 湘潭大学数学系,湘潭,411105 |
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| 基金项目： | 国家自然科学基金，湖南省教育厅重点项目 |
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| 摘 要： | 1 引言与记号 广义严格对角占优矩阵在数学、物理、控制论及经济学等许多领域有着重要的研究价值和实用价值.广义严格对角占优矩阵就是非奇异日一矩阵,它是一类范围很广的特殊矩阵,熟知的严格对角占优矩阵,不可约对角占优矩阵,非奇异M-矩阵等都是其特殊情形.如何在实际应用中简便地判别一个矩阵是否是日一矩阵,一直是人们关注的问题.
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| 关 键 词： | 判定 不可约矩阵 正对角矩阵 广义严格对角占优矩阵 |
α-DIAGONALLY DOMINANT AND CRITERIA FOR GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES |
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| Zhang Yuelang,Mo Hongmin,Liu Jianzhou.α-DIAGONALLY DOMINANT AND CRITERIA FOR GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(2). |
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| Authors: | Zhang Yuelang Mo Hongmin Liu Jianzhou |
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| Affiliation: | Zhang Yuelang Mo Hongmin Liu Jianzhou (Department of Mathematics,Xiangtan University,Xiangtan 411105) |
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| Abstract: | In this paper,several criteria for generalized strictly diagonally dominant matrices are obtained and some existed results are imporoved by using the property of diagonally dominant matrices,and then a numerical example is given to illustrate the effectiveness of the results. |
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| Keywords: | generalized strictly diagonally dominant matrices generalized strictly a-diagonally dominant matrices irreducibility matrix M- matrices |
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