Multiplicative Perturbation Bounds for the SR Factorization
Received:May 21, 2013  Revised:February 24, 2014
Key Words: multiplicative perturbation   SR factorization   rigorous perturbation bound   first order perturbation bound.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11201507).
Author NameAffiliation
Yanfei YANG College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
Hanyu LI 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2014.04.005
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