| 广义严格对角占优矩阵的充分条件 |
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| 引用本文： | 丁碧文,刘建州.广义严格对角占优矩阵的充分条件[J].高等学校计算数学学报,2009,31(4). |
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| 作者姓名： | 丁碧文 刘建州 |
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| 作者单位： | 湘潭大学数学与计算科学学院,湘潭,411105 |
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| 基金项目： | 国家自然科学基金资助项目，湖南省教育厅面上资助项目，湖南省重点学科建设资助项目 |
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| 摘 要： | 1 引言 广义严格对角占优矩阵是一类在数值代数、数学物理和控制论等领域有着广泛应用的特殊矩阵,例如:线性方程组Ax=b,当系数矩阵A为广义严格对角占优矩阵时,许多经典的迭代算法均是收敛的,同时对目前提出的一些修正算法也是收敛的.
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| 关 键 词： | 充分条件 正对角阵 广义严格对角占优矩阵 |
SUFFICIENT CONDITIONS OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRIX |
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| Ding Biwen,Liu Jianzhou.SUFFICIENT CONDITIONS OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRIX[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(4). |
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| Authors: | Ding Biwen Liu Jianzhou |
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| Institution: | Ding Biwen Liu Jianzhou (School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105) |
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| Abstract: | In this paper,we present a method of looking for positive diagonal matrix factors,by using of it,we can easily obtain some new and practical criteria for gerneralized strictly diagonally dominant matrix,and prove them simply.At the same time,an iterative criterion for generalized strictly diagonally dominant matrix is obtained by these criteria. |
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| Keywords: | strictly diagonally dominant matrix generalized strictly diagonally dominant matrix irreducibility nonzero elements chain |
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