| 拟行（列）对称矩阵的极分解及其扰动界 |
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| 引用本文： | 袁晖坪.拟行（列）对称矩阵的极分解及其扰动界[J].吉林大学学报(理学版),2013,51(3):414-418. |
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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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| 基金项目： | 国家自然科学基金(批准号:11271388);电子商务及供应链系统重庆市重点实验室专项基金(批准号:2012ECSC0216) |
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| 摘 要： | 研究拟行（列）对称矩阵的极分解、 广义逆和扰动界, 给出了拟行（列）对称矩阵的极分解和广义逆的计算公式, 并对拟行（列）对称矩阵的极分解作了扰动分析. 结果表明, 该方法既减少了计算量与存储量, 又不会降低数值精度.
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| 关 键 词： | 拟行（列）对称矩阵 极分解 广义逆 扰动界 |
| 收稿时间： | 2012-07-18 |
Polar Factorization and Perturbation Bound forQuasi row (column) Symmetric Matrix |
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| YUAN Hui-ping.Polar Factorization and Perturbation Bound forQuasi row (column) Symmetric Matrix[J].Journal of Jilin University: Sci Ed,2013,51(3):414-418. |
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| Authors: | YUAN Hui-ping |
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| Institution: | Chongqing Key Laboratory of Electronic Commerce &|Supply Chain System, College of Mathematicsand Statistics, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The author studied the polar factorization and generalized inverse and perturbation bound of quasi row (column) symmetric matrix, which leads to some new results, and presented the formula of the polar factorization and generalized inverse of quasi row (column) symmetric matrix, which makes calculation easier. In addition, some perturbation bounds of the polar factorization of quasi row (column) symmetric matrix were also presented. |
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| Keywords: | quasi row (column) symmetric matrix polar factorization generalized inverse perturbation bound |
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