| QR分解和LQ^T分解定理的证明 |
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| 引用本文： | 徐金生.QR分解和LQ^T分解定理的证明[J].山西大学学报(自然科学版),1989,12(4):377-380. |
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| 作者姓名： | 徐金生 |
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| 摘 要： | 本文中证明了关于实矩阵A的伴随列选主元的QR分解和关于实矩阵A~T的伴随行选主元的LQ~T分解是等价的,显然,也证明了关于实矩阵A~T的伴随列选主元的QR分解和关于实矩阵A的伴随行选主元的LQ~T分解是等价的。
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| 关 键 词： | 实矩阵 伴随列(行)选主元 QR分解 LQ~T分解 |
PROVING THE QR DECOMPOSITION AND THE LQT DECOMPOSITION THEOREM |
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| Xu Jinsheng.PROVING THE QR DECOMPOSITION AND THE LQT DECOMPOSITION THEOREM[J].Journal of Shanxi University (Natural Science Edition),1989,12(4):377-380. |
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| Authors: | Xu Jinsheng |
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| Institution: | Xu Jinsheng |
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| Abstract: | It has been proved in this paper that the QR decomposition of adjoint column pivot element on real matrix A is equivalent to the LQ~T decomposition of adjoint row pivot element on realmatrix A~T. Consequently, it has also been proved that the QR decomposition of adjoint column pivot element on real matrix Ar is equivalent to the LQ~T decomposition of adjoint row pivot element on real matrix A. |
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| Keywords: | real matrix adjoint column (row) pivot QR decomposition LQ~T decomposition |
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