| P_o－矩阵的LU－分解 |
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| 引用本文： | 李方.P_o－矩阵的LU－分解[J].东南大学学报(自然科学版),1995(3). |
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| 作者姓名： | 李方 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： | Ｐ＿ｏ－矩阵的ＬＵ－分解李方（东南大学数学力学系，南京２１００１８）方阵称为Ｐｏ－［Ｐ－］矩阵，若其主子行列式都是非负［正］的，Ｐｏ－［Ｐ－］矩阵的概念被Ｍ．Ｆｉｅｄｌｅｒ和Ｖ．Ｐｔａｋ［１］引进后，已作为研究Ｍ－矩阵［１，２］、正定矩阵和Ｖ－矩阵及...
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LU-Decomposition of P_o-Matrices |
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| Li Fang.LU-Decomposition of P_o-Matrices[J].Journal of Southeast University(Natural Science Edition),1995(3). |
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| Authors: | Li Fang |
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| Abstract: | The LU-decomposition of P_o-matrices is studied and the LU-decomposition theorem of V-matrices is generalized. The LU-decomposition is given for a P_o-matrix whose first n-1 sequential prin-cipal minors are non-singular. The weak decomposition is given for a general P_o-matxix. Every step ofthe Gauss sequential reduced processes to finish these decompositions obtains a P_o-matrix. |
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| Keywords: | e: matrix decomposition Gauss processes/P_o-matrix LU-decomposition Gauss sequen-tial reduced proocesses |
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