| 对角因子循环矩阵Moore-Penrose逆及奇异值分解 |
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| 引用本文： | 张奕琴,岑建苗.对角因子循环矩阵Moore-Penrose逆及奇异值分解[J].宁波大学学报(理工版),2008,21(2):225-228. |
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| 作者姓名： | 张奕琴 岑建苗 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 摘 要： | 给出了对角因子循环矩阵的Mooore—Penrose逆的表达式，并利用得到的表达式可以给出Moore—Penrose逆的快速算法．进一步研究了实对角因子循环矩阵的奇异值分解，并利用Hartley变换矩阵，给出了奇异值分解的具体表达式．
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| 关 键 词： | 对角因子循环矩阵 Mooore—Penrose逆 奇异值分解 Hartley变换矩阵 |
The Moore-Penrose Pseudoinverse and Spectral Decomposition of Diagonal Factor Circulant Matrices |
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| ZHANG Yi-qin,CEN Jian-miao.The Moore-Penrose Pseudoinverse and Spectral Decomposition of Diagonal Factor Circulant Matrices[J].Journal of Ningbo University(Natural Science and Engineering Edition),2008,21(2):225-228. |
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| Authors: | ZHANG Yi-qin CEN Jian-miao |
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| Institution: | ( Faculty of Science, Ningbo University, Ningbo 315211, China ) |
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| Abstract: | The fundamentals of the diagonal factor circulant matrices are briefed, and a simple derivation of the Moore-Penrose inverse of such matrix is presented. In the case that the rank of diagonally factor circulant matrix is either small or nearly full, the pseudoinverse can be computed readily. Further more, by using the Hartley matrix, the singular value decompositions of the real diagonal factor ciaculant are formulized in this paper. |
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| Keywords: | diagonal factor circulant matrices Moore-Penrose inverse singular value decomposition Hartley transformation matrix |
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