| 行(列)对称矩阵的满秩分解和正交对角分解 |
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| 引用本文： | 袁晖坪.行(列)对称矩阵的满秩分解和正交对角分解[J].上海理工大学学报,2007,29(3):260-264. |
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| 作者姓名： | 袁晖坪 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金;重庆市教委资助项目 |
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| 摘 要： | 提出了行(列)转置矩阵与行(列)对称矩阵的概念,研究了其性质,给出了行(列)对称矩阵的满秩分解和正交对角分解公式,极大地减少了行(列)对称矩阵的满秩分解和正交对角分解的计算量与存储量,且没有降低数值精度.
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| 关 键 词： | 行(列)转置矩阵 行(列)对称矩阵 满秩分解 正交对角分解 |
| 文章编号： | 1007-6735（2007）03-0260-05 |
| 修稿时间： | 2006-04-19 |
Full rank factorization and orthogonal diagonal factorization of row (column) symmetric matrix |
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| YUAN Hui-ping.Full rank factorization and orthogonal diagonal factorization of row (column) symmetric matrix[J].Journal of University of Shanghai For Science and Technology,2007,29(3):260-264. |
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| Authors: | YUAN Hui-ping |
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| Institution: | School of Science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The concept of row (column) transposed matrix and row (column) symmetric matrix is given,their basic property is studied,and the formula for full rank factorization and orthogonal diagonal factorization of row (column) symmetric matrix are presented,which can reduce dramatically the amount of calculation and save the CPU time and memory without loss of any numerical precision. |
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| Keywords: | row(column) transposed matrix row(column) symmetric matrix full rank factorization orthogonal diagonal factorization |
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