| 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 |
| SR分解的乘法扰动界 |
| Multiplicative Perturbation Bounds for the SR Factorization |
| 投稿时间：2013-05-21 修订日期：2014-02-24 |
| DOI：10.3770/j.issn:2095-2651.2014.04.005 |
| 中文关键词: 乘法扰动 SR分解 严格扰动界 一阶扰动界. |
| 英文关键词:multiplicative perturbation SR factorization rigorous perturbation bound first order perturbation bound. |
| 基金项目:国家自然科学基金(Grant No.11201507). |
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| 中文摘要: |
| 本文给出了SR分解的一阶左乘扰动界以及一阶和严格的右乘扰动界, 而且, 应用SR因子的一些性质, 对其中一些扰动界进行了修正. |
| 英文摘要: |
| 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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