| 广义M-矩阵对角占优、行列式、转置及顺序主子矩阵的性质 |
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| 引用本文： | 赵姣珍,刘新,张宁.广义M-矩阵对角占优、行列式、转置及顺序主子矩阵的性质[J].重庆工学院学报,2009,23(7):167-170. |
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| 作者姓名： | 赵姣珍 刘新 张宁 |
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| 作者单位： | 云南大学; |
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| 摘 要： | 广义M-矩阵A是可以分解为sI-B这种形式的矩阵,其中B和BT具有Perron-Froben ius性质,s>0.讨论了广义M-矩阵的主对角元大于零的这类广义M-矩阵的对角占优性、行列式、顺序主子矩阵、转置的性质和对称广义M-矩阵的等价条件.
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| 关 键 词： | M-矩阵 广义M-矩阵 Perron-Frobenius性质 |
Diagonally Dominant,Determinant,Order Principal Matrix,Transpose Properties of Generalizations of-matrices |
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| ZHAO Jiao-zhen,LIU Xin,ZHANG Ning.Diagonally Dominant,Determinant,Order Principal Matrix,Transpose Properties of Generalizations of-matrices[J].Journal of Chongqing Institute of Technology,2009,23(7):167-170. |
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| Authors: | ZHAO Jiao-zhen LIU Xin ZHANG Ning |
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| Affiliation: | Yunnan University;Kunming 650091;China |
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| Abstract: | Generalized M-matrices are of the form sI-B with B and BT with the Perron-Frobenius property and s>0.In this paper,the diagonally dominant property,determinant,order principal matrix,transpose of generalizations of M-matrices and the sufficient and necessary conditions for the symmetric generalizations of M-matrices are studied. |
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| Keywords: | M-matrices Generalizations of M-matrices Perron-Frobenius property |
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