| 行（列）反对称矩阵的极分解及其广义逆 |
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| 引用本文： | 袁晖坪. 行（列）反对称矩阵的极分解及其广义逆[J]. 吉林大学学报(理学版), 2013, 51(1): 15-20 |
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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);重庆市自然科学基金(批准号:CSTS2005BB0243);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： | 考虑行（列）反对称矩阵的极分解和广义逆, 给出了行（列）反对称矩阵的极分解和广义逆计算公式, 并对行（列）反对称矩阵的极分解作了扰动分析.
结果表明, 所给方法既减少了计算量与存储量, 又保证了数值精度.
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| 关 键 词： | 行（列）反对称矩阵； 极分解； 广义逆； 扰动界 |
| 收稿时间： | 2012-03-25 |
Polar Factorization and Generalized Inverse for Row(Column) Skew Symmetric Matrix |
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| YUAN Hui-ping. Polar Factorization and Generalized Inverse for Row(Column) Skew Symmetric Matrix[J]. Journal of Jilin University: Sci Ed, 2013, 51(1): 15-20 |
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| Authors: | YUAN Hui-ping |
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| Affiliation: | 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 of row (column) skew symmetric matrix, which leads to some new results. In addition, the formula of the polar factorization and generalized inverseof row (column) skew symmetric matrix were given, which makes calculation easier, and some perturbation bounds of polar factorization of row (column) skew symmetric matrix were also presented. |
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| Keywords: | row (column) skew symmetric matrix polar factorization generalized inverse perturbation bound |
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