| 两种特殊类型矩阵的QR分解 |
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| 引用本文： | 王秀凤,陈辉,范德辉,张传林.两种特殊类型矩阵的QR分解[J].暨南大学学报,2005,26(3):298-306. |
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| 作者姓名： | 王秀凤 陈辉 范德辉 张传林 |
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| 作者单位： | 暨南大学数学系,广东,广州,510632;暨南大学数学系,广东,广州,510632;暨南大学数学系,广东,广州,510632;暨南大学数学系,广东,广州,510632 |
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| 摘 要： | 给出了两种特殊类型矩阵的QR分解的改进算法，理论与数值实验说明了它们的速度比一般的QR分解要快．并且对这两种改进算法进行了基于分量的扰动分析，从而证明了它们的稳定性。
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| 关 键 词： | QR分解 Householder变换 Givens变换 数值稳定性 |
| 文章编号： | 1000-9965(2005)03-0298-09 |
| 收稿时间： | 04 7 2004 12:00AM |
| 修稿时间： | 2004年4月7日 |
QR decomposition for matrices of two particular kinds |
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| WANG Xiu-feng,CHEN Hui,FAN De-hui,ZHANG Chuan-lin.QR decomposition for matrices of two particular kinds[J].Journal of Jinan University(Natural Science & Medicine Edition),2005,26(3):298-306. |
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| Authors: | WANG Xiu-feng CHEN Hui FAN De-hui ZHANG Chuan-lin |
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| Abstract: | Improved algorithms of QR decomposition of two particular kinds matrices are given and their speeds are much quicker than the usual algorithms of MATLAB. It is also proved theoritically and compared with numerical experiments. The componentwise perturbation analyses of these two kinds of improved algorithms are also given, then the numerical stability of these algorithms are improved. |
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| Keywords: | QR decomposition Householder transformations Givens transformations numerical stability |
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