| 关于逆M-矩阵Schur补的几个不等式 |
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| 引用本文： | 楼嫏嬛. 关于逆M-矩阵Schur补的几个不等式[J]. 西安邮电学院学报, 2006, 11(5): 127-128,131 |
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| 作者姓名： | 楼嫏嬛 |
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| 作者单位： | 西安邮电学院,应用数理系,陕西,西安,710121 |
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| 摘 要： | 通过研究M-矩阵和逆M-矩阵的性质,得到有关逆M-矩阵Schur补的一些不等式;通过研究两个逆M-矩阵的Fan积,得到当两个逆M-矩阵均为严格对角占优矩阵时,它们的Fan积为M-矩阵,进而得到有关该Fan积的Schur补不等式。
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| 关 键 词： | M-矩阵 逆M-矩阵 Schur补 |
| 文章编号： | 1007-3264（2006）05-0127-02 |
| 收稿时间： | 2006-02-24 |
| 修稿时间： | 2006-02-24 |
Some inequalitites on the Schur complement of inverse M- matrix |
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| LOU Lang-huan. Some inequalitites on the Schur complement of inverse M- matrix[J]. Journal of Xi'an Institute of Posts and Telecommunications, 2006, 11(5): 127-128,131 |
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| Authors: | LOU Lang-huan |
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| Abstract: | The properties of M - matrix and inverse M - matrix were studied, some inequalities on the Schur complement of two inverse M - matrix were obtained. The Fan product of two inverse M - matrices were studied, the conclusion is that if the two inverse M - matrices are both strictly diagonally dominant matrices, then the Fan product of them is M - matrix. Therefore, inequalities on the Schur complement of the Fan product were obtained. |
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| Keywords: | M - matrix inverse M - matrix the Schur complement |
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