| 块α-对角占优矩阵的讨论 |
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| 引用本文： | 高会双,韩贵春,肖丽霞.块α-对角占优矩阵的讨论[J].纯粹数学与应用数学,2014(1):53-59. |
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| 作者姓名： | 高会双 韩贵春 肖丽霞 |
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| 作者单位： | 内蒙古民族大学数学学院,内蒙古 通辽028043 |
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| 基金项目： | 内蒙古民族大学科学研究基金（NMD1226） |
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| 摘 要： | 应用矩阵块对角占优理论,讨论了块α-对角占优矩阵之间的蕴含关系,并得到了条件最弱的块严格α1-双对角占优的两个等价表征,并作为应用给出了块H矩阵新的判定准则,最后用数值例子说明结果的有效性.
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| 关 键 词： | 块对角占优 块α-对角占优矩阵 块H矩阵 |
Discussion for block α-diagonally dominant matrices |
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| Gao Huishuang,Han Guichun,Xiao Lixia.Discussion for block α-diagonally dominant matrices[J].Pure and Applied Mathematics,2014(1):53-59. |
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| Authors: | Gao Huishuang Han Guichun Xiao Lixia |
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| Affiliation: | (School of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028043, China) |
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| Abstract: | Applying the theorem of block diagonally dominant matrices, we discuss the relations between blockα-diagonally dominant matrices. We give two equivalence representations for strictly double blockα1-diagonally dominant matrices. As its application, we obtain some criteria for block H-matrices. In the end, the efficiency of the proposed criteria is showed by a numerical example. |
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| Keywords: | block diagonal dominance blockα-diagonally dominant matrices block H-matrices |
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