| 块中心对称H-矩阵的几个定理 |
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| 引用本文： | 孔旭,李继成,屈会丽.块中心对称H-矩阵的几个定理[J].高等学校计算数学学报,2009,31(3). |
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| 作者姓名： | 孔旭 李继成 屈会丽 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 基金项目： | 国家自然科学基金项目资助;基金号:10601070 |
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| 摘 要： | 1符号与定义 为了行文方便,首先作如下记号约定:n为自然数,In表示n阶单位矩阵,Rn×n表示所有n×n阶实数矩阵做成的集合.对A=(aij)n×n∈Rn×n,若aij≤0对所有的i,j=1,2,…,n,i≠j成立,则称A为Z-矩阵.
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| 关 键 词： | 非奇异 弱正则分裂 矩阵定义 中心对称矩阵 定理 简化形式 |
THEOREMS OF BLOCK CENTROSYMMETRIC H-MATRICES |
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| Kong Xu,Li Jicheng,Qu Huili.THEOREMS OF BLOCK CENTROSYMMETRIC H-MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(3). |
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| Authors: | Kong Xu Li Jicheng Qu Huili |
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| Institution: | Kong Xu Li Jicheng Qu Huili (Department of Mathematics,Xi'an Jiaotong University,Xi'an 710049) |
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| Abstract: | In this paper,the defination of block centrosymmetric matrices is given,and some properties of block centrosymmetric matrices are shown.The relation between nonsingular centrosymmetric H-matrix and their reduced forms is investigated,a simple sufficent condition to testify whether a block centrosymmetric matrix is an H-matrix is given.All these results generalize the conclusions of2]. |
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| Keywords: | centrosymmetric block centrosymmetric reduced form M-matrix H-matrix |
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