scholarly journals New multiplicative perturbation bounds for the generalized polar decomposition

2018 ◽  
Vol 339 ◽  
pp. 259-271 ◽  
Author(s):  
Na Liu ◽  
Wei Luo ◽  
Qingxiang Xu
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
Multiplicative Perturbation

Multiplicative perturbation bounds for weighted polar decomposition

CALCOLO ◽  
2013 ◽  
Vol 51 (4) ◽  
pp. 515-529 ◽  
Author(s):  
Xiaoli Hong ◽  
Lingsheng Meng ◽  
Bing Zheng
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
Multiplicative Perturbation

scholarly journals Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Pingping Zhang ◽  
Hu Yang ◽  
Hanyu Li
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
New Perturbation

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.

Some New Perturbation Bounds for the Generalized Polar Decomposition

2004 ◽  
Vol 44 (2) ◽  
pp. 237-244 ◽  
Author(s):  
Xiao-shan Chen ◽  
Wen Li ◽  
Weiwei Sun
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
New Perturbation

Some new perturbation bounds of generalized polar decomposition

2014 ◽  
Vol 233 ◽  
pp. 430-438 ◽  
Author(s):  
Xiaoli Hong ◽  
Lingsheng Meng ◽  
Bing Zheng
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
New Perturbation
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