| 块H-矩阵的刻画 |
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| 引用本文： | 高中喜,黄廷祝.块H-矩阵的刻画[J].电子科技大学学报(社会科学版),2002(3). |
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| 作者姓名： | 高中喜 黄廷祝 |
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| 作者单位： | 电子科技大学应用数学学院 成都610054
(高中喜)，电子科技大学应用数学学院 成都610054(黄廷祝) |
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| 基金项目： | 四川省跨世纪杰出青年科技学术带头人基金资助项目,编号: JSA1081 |
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| 摘 要： | 【摘要】根据块对角占优、块严格对角占优和不可约对角占优矩阵的概念,针对a连对角占优矩阵,应用分块技术,给出和引进了块弱不可约a严格对角占优矩阵的概念,并在此基础上给出了简捷的块H-矩阵的充要条件和充分条件的刻画,推广和包含了已有的相应结果。
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| 关 键 词： | 矩阵 块对角占优 a连对角占优 不可约 方向图 |
Equivalent Conditions of Block H-Matrices |
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| Gao Zhongxi,Huang Tingzhu.Equivalent Conditions of Block H-Matrices[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2002(3). |
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| Authors: | Gao Zhongxi Huang Tingzhu |
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| Abstract: | Based on the block diagonally dominant matrices,block strictly diagonally dominant matrices and irreducible diagonally dominant matrix, by the block-aconnective diagonally dominant, the irreducibly block diagonal dominance is introduced and the block method are applied, and new simple equivalent conditions of the block H-matrices are obtained, which generalizes and includes the corresponding results of the matrices. |
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| Keywords: | matrix block diagonally dominant matrix a-connective matrix irreducibility directed graph |
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