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

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

New perturbation bounds for Sylvester equations

2002 ◽  
Author(s):  
N.D. Christov ◽  
S. Lesecq ◽  
M.M. Konstantinov ◽  
P.Hr. Petkov ◽  
A. Barraud
Keyword(s):  
Perturbation Bounds ◽  
New Perturbation

scholarly journals Sensitivity and convergence of uniformly ergodic Markov chains

2005 ◽  
Vol 42 (4) ◽  
pp. 1003-1014 ◽  
Author(s):  
A. Yu. Mitrophanov
Keyword(s):  
Markov Chains ◽  
State Space ◽  
Rate Of Convergence ◽  
Transition Kernel ◽  
Numerical Examples ◽  
Perturbation Bounds ◽  
Finite State ◽  
New Perturbation ◽  
Finite State Space

For uniformly ergodic Markov chains, we obtain new perturbation bounds which relate the sensitivity of the chain under perturbation to its rate of convergence to stationarity. In particular, we derive sensitivity bounds in terms of the ergodicity coefficient of the iterated transition kernel, which improve upon the bounds obtained by other authors. We discuss convergence bounds that hold in the case of finite state space, and consider numerical examples to compare the accuracy of different perturbation bounds.

New Perturbation Bounds Analysis of a Kind of Generalized Saddle Point Systems

2017 ◽  
Vol 7 (1) ◽  
pp. 116-124
Author(s):  
Wei-Wei Xu ◽  
Mao-Mao Liu ◽  
Lei Zhu ◽  
Hong-Fu Zuo
Keyword(s):  
Saddle Point ◽  
Perturbation Analysis ◽  
Upper Bounds ◽  
Perturbation Bounds ◽  
New Perturbation

AbstractIn this paper we consider new perturbation bounds analysis of a kind of generalized saddle point systems. We provide perturbation upper bounds for the solutions of generalized saddle point systems, which extend the corresponding results in [W.-W. Xu, W. Li, New perturbation analysis for generalized saddle point systems, Calcolo., 46(2009), pp. 25-36] to more general cases.

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