| 矩阵QR分解初等变换法的改进 |
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| 引用本文： | 邓勇.矩阵QR分解初等变换法的改进[J].高师理科学刊,2008,28(3):19-20. |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系,新疆,喀什,844006 |
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| 摘 要： | 关于矩阵的QR分解,目前文献中多利用Householder矩阵变换、Doolittle分解、矩阵QR分解公式、对矩阵的列向量进行标准正交化和对矩阵进行列初等变换等方法,这些方法的共同特点是计算复杂且容易出错.给出了用矩阵的行列初等变换实现矩阵的QR分解的一种简便方法.
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| 关 键 词： | 矩阵 QR分解 初等变换 正交化 |
| 文章编号： | 1007-9831(2008)03-0019-03 |
| 修稿时间： | 2008年1月30日 |
Improvement on the elementary transformation method of QR decomposition of matrix |
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| DENG Yong.Improvement on the elementary transformation method of QR decomposition of matrix[J].Journal of Science of Teachers＇College and University,2008,28(3):19-20. |
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| Authors: | DENG Yong |
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| Abstract: | In present referencest,he methods of QR decomposition of matrix depended mainly on Householder matrix transformation,the Doolittle decomposition,matrixQR decomposition formula,standardized orthogonal to matrix's column vector and column elementary transformation to matrix.But these methods used usually make mistakes easily because of its computing complex.Given out a simple method of computing theQR decomposition of matrix by using pairs of row and column operations. |
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| Keywords: | matrix QR decomposition elementary transformation orthogonalization |
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