| 泛延拓矩阵的极分解与广义逆 |
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| 引用本文： | 袁晖坪,吕福起,何静,江维琼,易强,吕希元. 泛延拓矩阵的极分解与广义逆[J]. 吉林大学学报(理学版), 2021, 59(2): 213-220. DOI: 10.13413/j.cnki.jdxblxb.2020213 |
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| 作者姓名： | 袁晖坪 吕福起 何静 江维琼 易强 吕希元 |
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| 作者单位： | 重庆财经学院 软件学院, 重庆 401320 |
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| 基金项目： | 国家自然科学基金;重庆市自然科学基金 |
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| 摘 要： | 应用矩阵分解和广义逆理论给出泛延拓矩阵的极分解和广义逆的计算公式,并推导出泛延拓矩阵极分解的一些扰动界.结果表明,该方法在保持数值精度的同时降低了计算量与存储量.
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| 关 键 词： | 泛延拓矩阵 极分解 广义逆 扰动界 |
| 收稿时间： | 2020-07-20 |
Polar Factorization and Generalized Inverse for Universal Extended Matrix |
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| YUAN Huiping,L Fuqi,HE Jing,JIANG Weiqiong,YI Qiang,L Xiyuan. Polar Factorization and Generalized Inverse for Universal Extended Matrix[J]. Journal of Jilin University: Sci Ed, 2021, 59(2): 213-220. DOI: 10.13413/j.cnki.jdxblxb.2020213 |
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| Authors: | YUAN Huiping L Fuqi HE Jing JIANG Weiqiong YI Qiang L Xiyuan |
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| Affiliation: | School of Software, Chongqing Finance and Economics College, Chongqing 401320, China |
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| Abstract: | By using the theory of matrix factorization and generalized inverse, we gave the calculation formulas of the polar factorization and generalized inverse for universal extended matrix, and deduced some perturbation bounds for the polar factorization of universal extended matrix. The results show that the method not only keeps the numerical accuracy, but also reduces the calculation amount and storage capacity. |
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| Keywords: | universal extended matrix polar factorization generalized inverse perturbation bound |
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