| 拟行(列)对称矩阵的极分解 |
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| 引用本文： | 袁晖坪. 拟行(列)对称矩阵的极分解[J]. 吉林大学学报(理学版), 2017, 55(3): 547-552 |
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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 电子商务及供应链系统重庆市重点实验室, 数学与统计学院, 重庆 400067 |
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| 摘 要： | 考虑拟行(列)对称矩阵的极分解、广义逆和扰动界,并对拟行(列)对称矩阵的极分解进行扰动分析,获得了拟行(列)对称矩阵的极分解和广义逆的计算公式.结果表明,该方法既能减少计算量与存储量,又不会降低数值精度.
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| 关 键 词： | 广义逆 扰动界 极分解 拟行（列）对称矩阵 |
| 收稿时间： | 2016-10-08 |
Polar Factorization of Quasi row (column) Symmetric Matrix |
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| YUAN Huiping. Polar Factorization of Quasi row (column) Symmetric Matrix[J]. Journal of Jilin University: Sci Ed, 2017, 55(3): 547-552 |
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| Authors: | YUAN Huiping |
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| Affiliation: | Chongqing Key Laboratory of Electronic Commerce & Supply Chain System,College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The author considered the polar factorization, generalized inverse and perturbation bound of quasi row (column) symmetric matrix, analyzed some perturbation bounds of the polar factorization of quasi row (column) symmetric matrix, and obtained the calculation formula of the polar factorization and generalized inverse of quasi row (column) symmetric matrix. The results show that the method can not only reduce the calculated amount and memory space, but also can not reduce the numerical accuracy. |
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| Keywords: | quasi row (column) symmetric matrix generalized inverse polar factorization perturbation bound |
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