Multiplicative Perturbation Bounds for the SR Factorization  

作　　者：Yanfei YANG Hanyu LI 

机构地区：[1]College of Mathematics and Statistics,Chongqing University,Chongqing 401331,P. R. China

出　　处：《Journal of Mathematical Research with Applications》2014年第4期423-434,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11201507)

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.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.

关 键 词：multiplicative perturbation SR factorization rigorous perturbation bound first order perturbation bound. 

分 类 号：O151.21[理学—数学] TB852.1[理学—基础数学]