| 行(或列)对称矩阵的Moore-Penrose逆 |
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| 引用本文： | 纪云龙,贾岸平. 行(或列)对称矩阵的Moore-Penrose逆[J]. 吉林工学院学报, 2006, 27(1): 63-64 |
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| 作者姓名： | 纪云龙 贾岸平 |
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| 作者单位： | 长春工业大学基础科学学院 吉林长春130012 |
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| 摘 要： | 证明了行(或列)对称矩阵的Moore-Penrose逆与母矩阵的Moore-Penrose逆的定量关系,给出了两种快速算法。据此可大大降低一类具有该结构矩阵的Moore-Penrose逆的计算量和存储量。
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| 关 键 词： | Moore-Penrose逆 行(或列)对称矩阵 快速算法 |
| 文章编号： | 1006-2939（2006）01-0063-02 |
| 收稿时间： | 2005-07-18 |
| 修稿时间： | 2005-07-18 |
Moore Penrose inverse for row or column symmetric matrix |
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| JI Yun-long,JIA An-ping. Moore Penrose inverse for row or column symmetric matrix[J]. Journal of Jilin Institute of Technology, 2006, 27(1): 63-64 |
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| Authors: | JI Yun-long JIA An-ping |
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| Affiliation: | School of Basic Sciences, Changehun University of Technology, Changchun 130012, China |
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| Abstract: | The problem of fast computing the Moore Penrose inverse of row or column symmetric(matrix) is condidered.Two new algorithms based on a correspondence of Moore Penrose inverse(matrices) between the row or column symmetric matrix and its mother matrix are obtained.Theoretical analysis and numerical evidence show that,for a class of row or column symmetric matrices,using the mother matrix rather than the row or column symmeric matrix per se can save dramatically the CPU time and memory without loss of any numerical precision,when computing the Moore Penrose(inverse). |
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| Keywords: | Moore Penrose inverse row or column symmetric matrix fast computation. |
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