New perturbation bounds for the W-weighted Drazin inverse

2006 ◽  
Vol 21 (1-2) ◽  
pp. 153-173 ◽  
Author(s):  
Lijing Lin ◽  
Xiaoke Cui
Keyword(s):  
Drazin Inverse ◽  
Perturbation Bounds ◽  
New Perturbation ◽  
Weighted Drazin Inverse

A note on the perturbation bounds of W-weighted Drazin inverse

2016 ◽  
Vol 64 (10) ◽  
pp. 1960-1971 ◽  
Author(s):  
Xue-Zhong Wang ◽  
Hai-feng Ma ◽  
Jovana Nikolov Radenković
Keyword(s):  
Drazin Inverse ◽  
Perturbation Bounds ◽  
Weighted Drazin Inverse

scholarly journals A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 505-511 ◽  
Author(s):  
Xue-Zhong Wang ◽  
Hai-Feng Ma ◽  
Marija Cvetkovic
Keyword(s):  
Banach Space ◽  
Linear Operator ◽  
Banach Spaces ◽  
Linear Operators ◽  
Drazin Inverse ◽  
Perturbation Bound ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Perturbation Bounds ◽  
Weighted Drazin Inverse

We investigate the perturbation bound of the W-weighted Drazin inverse for bounded linear operators between Banach spaces and present two explicit expressions for the W-weighted Drazin inverse of bounded linear operators in Banach space, which extend the results in Chin. Anna. Math., 21C:1 (2000) 39-44 by Wei.

Recurrent neural network for computing the W -weighted Drazin inverse

2017 ◽  
Vol 300 ◽  
pp. 1-20 ◽  
Author(s):  
Xue-Zhong Wang ◽  
Haifeng Ma ◽  
Predrag S. Stanimirović
Keyword(s):  
Neural Network ◽  
Recurrent Neural Network ◽  
Drazin Inverse ◽  
Weighted Drazin Inverse

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.

New perturbation bounds for the subunitary polar factors

2013 ◽  
Vol 61 (4) ◽  
pp. 517-526
Author(s):  
Pingping Zhang ◽  
Hu Yang ◽  
Hanyu Li
Keyword(s):  
Perturbation Bounds ◽  
New Perturbation
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