Multiplicative perturbation bounds for weighted polar decomposition

CALCOLO ◽  
2013 ◽  
Vol 51 (4) ◽  
pp. 515-529 ◽  
Author(s):  
Xiaoli Hong ◽  
Lingsheng Meng ◽  
Bing Zheng
2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Pingping Zhang ◽  
Hu Yang ◽  
Hanyu Li

Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction thatAand its perturbed matrixA˜have the same rank. These bounds improve the corresponding recent results.


2004 ◽  
Vol 44 (2) ◽  
pp. 237-244 ◽  
Author(s):  
Xiao-shan Chen ◽  
Wen Li ◽  
Weiwei Sun

2014 ◽  
Vol 233 ◽  
pp. 430-438 ◽  
Author(s):  
Xiaoli Hong ◽  
Lingsheng Meng ◽  
Bing Zheng

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