| SR分解的乘法扰动界 |
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| 引用本文： | 杨艳飞,李寒宇.SR分解的乘法扰动界[J].数学研究及应用,2014,34(4):423-434. |
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| 作者姓名： | 杨艳飞 李寒宇 |
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| 作者单位： | 重庆大学数学与统计学院, 重庆 401331;重庆大学数学与统计学院, 重庆 401331 |
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| 基金项目： | 国家自然科学基金(Grant No.11201507). |
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| 摘 要： | In this paper, we present the first order perturbation bounds for the SR factorization with respect to left multiplicative perturbation, and the first order and rigorous perturbation bounds for this factorization with respect to right multiplicative perturbation.Moreover, taking the properties of SR factors into consideration, we also provide some refined perturbation bounds.
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| 关 键 词： | 扰动界 SR 乘法 分解 一阶 |
| 收稿时间： | 2013/5/21 0:00:00 |
| 修稿时间： | 2014/2/24 0:00:00 |
Multiplicative Perturbation Bounds for the SR Factorization |
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| Yanfei YANG and Hanyu LI.Multiplicative Perturbation Bounds for the SR Factorization[J].Journal of Mathematical Research with Applications,2014,34(4):423-434. |
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| Authors: | Yanfei YANG and Hanyu LI |
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| Institution: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China |
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| Abstract: | In this paper, we present the first order perturbation bounds for the SR factorization with respect to left multiplicative perturbation, and the first order and rigorous perturbation bounds for this factorization with respect to right multiplicative perturbation. Moreover, taking the properties of SR factors into consideration, we also provide some refined perturbation bounds. |
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| Keywords: | multiplicative perturbation SR factorization rigorous perturbation bound first order perturbation bound |
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