| 再谈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.再谈初等变换法在矩阵计算中的应用[J].重庆三峡学院学报,2008,24(3):61-63. |
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| 作者姓名： | 冯天祥 |
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| 作者单位： | 重庆三峡学院数学与计算机科学学院,重庆万州,404000 |
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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.这里给出将矩阵对角化及求矩阵的QR分解式的初等变换法,同时给出了实现分解的算法,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 初等蛮换 OR分解 Eigenvalue Diagonalization Elementary transformation QR decomposition. 初等变换法 矩阵计算 应用 Matrix computation Elementary Transformation QR decomposition elementary transformation method matrices derived process complex tool eigenvalues matrix computation work 利用 算法 分解式 求矩阵 |
Re-discussing Applications of Elementary Transformation in Matrix computation |
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| FENG Tian-xiang.Re-discussing Applications of Elementary Transformation in Matrix computation[J].JOurnal of Chongqing Three Gorges University,2008,24(3):61-63. |
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| Authors: | FENG Tian-xiang |
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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 decomposition of a matrix is given by using triangular factorizations. |
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| Keywords: | Eigenvalue Diagonalization Elementary transformation QR decomposition |
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