| 广义主正阵与广义完全主正阵 |
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| 引用本文： | 王文省,张树青.广义主正阵与广义完全主正阵[J].山东师范大学学报(自然科学版),1997,12(2):142-146. |
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| 作者姓名： | 王文省 张树青 |
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| 作者单位： | [1]聊城师范学院数学系 [2]烟台师范学院数学系 |
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| 摘 要： | 引进了有广泛一般性的广义主正阵与广义完全正阵的概念，给出了这两类矩阵的基本的性质，得到了关于广义主正阵，广义完全正阵的逆阵，证明了关于它们非异主子阱的Ｓｃｈｕｒ补以及Ｓｙｌｖｅｓｔｅｒ矩阵、三角分解等方面的若干基本结果。
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| 关 键 词： | 矩阵 广义主正阵 广义完全主正阵 Schur补 |
GENERALIZED PRINCIPAL PASITICES MATRICES AND GENERALIZED TOTALLY PRINCIPAL POSITIVE MATRICES |
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| Wang Wensheng,Zhang Shuqing.GENERALIZED PRINCIPAL PASITICES MATRICES AND GENERALIZED TOTALLY PRINCIPAL POSITIVE MATRICES[J].Journal of Shandong Normal University(Natural Science),1997,12(2):142-146. |
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| Authors: | Wang Wensheng Zhang Shuqing |
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| Institution: | Wang Wensheng 1) Zhang Shuqing 2) |
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| Abstract: | The concepts of the generalized principal positive matrices and generalized totally principal positive matrices are introduced. The basic properties of the above two matrices are given, and basic results are obtained concerning their inverse matrix. Schur complements and Sylvester matrix of their unsingular principal submatrix, and their Triangular decomposition. |
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| Keywords: | matrix generalized principal positive matrix generalized totally principal positive matrix Schur complements Sylvester matrix |
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