| 特殊矩阵的几种性质 |
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| 引用本文： | 田秋菊,宋岱才. 特殊矩阵的几种性质[J]. 辽宁石油化工大学学报, 2006, 26(3): 91-92,97 |
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| 作者姓名： | 田秋菊 宋岱才 |
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| 作者单位： | 辽宁石油化工大学理学院,辽宁,抚顺,113001 |
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| 摘 要： | 首先给出两个矩阵A,B的Hadamard乘积的定义,然后给出M-矩阵在Hadamard积下的几个运算性质,运用矩阵Hadamard乘积及特殊矩阵理论,将M-矩阵在Hadamard积下的若干性质,推广到其他类型的特殊矩阵上。获得了M-矩阵,L-矩阵,H-矩阵和Hermitie-矩阵的几种特征值(q(A),l(A),λ(A))的不等式,以及谱半径ρ(A)、矩阵迹tr(A)满足的几个不等式性质。
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| 关 键 词： | M-矩阵 L-矩阵 H-矩阵 Hermitie-矩阵 Hadamard乘积 |
| 文章编号： | 1672-6952（2006）03-0091-02 |
| 收稿时间： | 2006-06-26 |
| 修稿时间： | 2006-07-05 |
Some Properties of Special Matrices |
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| TIAN Qiu-ju,SONG Dai-cai. Some Properties of Special Matrices[J]. Journal of Liaoning University of Petroleum & Chemical Technology, 2006, 26(3): 91-92,97 |
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| Authors: | TIAN Qiu-ju SONG Dai-cai |
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| Abstract: | Definition of Hadamard product of A,B matrices and some properties of the Hadamard product of M-matrix were given.By the means of the matrix Hadamard products and theory of special matrix,the properties of the Hadamard product of M-matrix are extended to other special matrices.The inequalities for the eigen values(q(A);l(A);λ(A)) and the inequalities about ρ(A) and tr(A) of M-matrix,L-matrix,H-matrix and Hermitie-matrix are obtained. |
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| Keywords: | M matrix L -matrix J- matrix Hermitie matrix Hadamard product |
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