| 初等变换法在矩阵计算中的应用 |
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| 引用本文： | 冯天祥,谭明术.初等变换法在矩阵计算中的应用[J].黑龙江大学自然科学学报,2004,21(4):118-119. |
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| 作者姓名： | 冯天祥 谭明术 |
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| 作者单位： | 重庆三峡学院,数学系,重庆,万州,404000;重庆三峡学院,数学系,重庆,万州,404000 |
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| 基金项目： | Supported by the National Science Found of Chongqing (210079) |
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| 摘 要： | 求矩阵的特征值和将一个矩阵对角化是矩阵计算中的重要任务之一,矩阵的QR分解更是矩阵计算的一种工具,但是这些过程都非常复杂.给出将矩阵对角化及求矩阵的QR分解式的初等变换法,最后利用矩阵的三角分解式求QR分解式.
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| 关 键 词： | 特征值 对角化 初等变换 QR分解 |
Applications of elementary transformation in matrix computation |
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| FENG Tian-xiang,TAN Ming-shu.Applications of elementary transformation in matrix computation[J].Journal of Natural Science of Heilongjiang University,2004,21(4):118-119. |
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| Authors: | FENG Tian-xiang TAN Ming-shu |
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| Abstract: | In matrix computation, calculating eigenvalues and diagonalizing matrix are key work. The QR decomposition of a matrix is a useful tool in matrix computation. But the process of QR decomposition is very complex. An elementary transformation method for diagonalizing matrices and factorizing matrices in QR form is derived. At last, QR decompo- sition of a matrix is given by using triangular factorizations. O175.9, O151.21 |
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| Keywords: | eigenvalue diagonalization elementary transformation QR decomposition |
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