Perturbation bounds of the nonnegative definite factor in the polar decomposition

2012 ◽  
Author(s):  
Chang Liu ◽  
Duanmei Zhou ◽  
Guoxing Wu ◽  
Yinyin Huang
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds ◽  
Definite Factor ◽  
Nonnegative Definite

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

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

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

New perturbation bounds in unitarily invariant norms for subunitary polar factors

2018 ◽  
Vol 34 ◽  
pp. 231-239
Author(s):  
Lei Zhu ◽  
Wei-wei Xu ◽  
Hao Liu ◽  
Li-juan Ma
Keyword(s):  
Polar Decomposition ◽  
Positive Semidefinite ◽  
Perturbation Bounds ◽  
Unitarily Invariant Norms ◽  
Polar Factor ◽  
New Perturbation

Let $A\in\mathbb{C}^{m \times n}$ have generalized polar decomposition $A = QH$ with $Q$ subunitary and $H$ positive semidefinite. Absolute and relative perturbation bounds are derived for the subunitary polar factor $Q$ in unitarily invariant norms and in $Q$-norms, that extend and improve existing bounds.

Perturbation bounds on the polar decomposition

1990 ◽  
Vol 30 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Anders Barrlund
Keyword(s):  
Polar Decomposition ◽  
Perturbation Bounds
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