| 块-Toeplitz矩阵的一种快速QR分解及算法实现 |
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| 引用本文： | 赵敏.块-Toeplitz矩阵的一种快速QR分解及算法实现[J].长江大学学报,2007,4(2):4-5. |
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| 作者姓名： | 赵敏 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 讨论了块-Toeplitz矩阵的一种快速QR分解及算法实现。将一般的Toeplitz矩阵的快速QR分解方法推广到块-Toeplitz矩阵的情形,通过Cholesky方法计算QR分解中的上三角矩阵,并给出了其实现算法。
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| 关 键 词： | 块-Toeplitz矩阵 QR分解 Cholesky方法 |
| 文章编号： | 1673-1409（2007）02-N004-02 |
| 修稿时间： | 2007-03-12 |
A Fast QR Decomposition and Algorithm for Solving Block-Toeplitz Matrix |
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| Zhao Min.A Fast QR Decomposition and Algorithm for Solving Block-Toeplitz Matrix[J].Journal of Yangtze University,2007,4(2):4-5. |
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| Authors: | Zhao Min |
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| Abstract: | In this paper,the fast QR decomposition of block-Toeplitz matrix is discussed.The algorithm of QR decomposition will be promoted from general Toeplitz matrix to block-Toeplitz matrix.This kind of fast QR decompositon may calculate the upper triangle matrix R in QR decomposition through Cholesky calculation method,thus its implementing algorithm is provided. |
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| Keywords: | Toeplitz matrix block-Toeplitz matrix QR decomposition |
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