SR分解的乘法扰动界

Multiplicative Perturbation Bounds for the SR Factorization

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.

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.