scholarly journals Componentwise perturbation bounds for the $LU$, $LDU$ and $LDT^T$ decompositions

2000 ◽  
Vol 1 (2) ◽  
pp. 109 ◽  
Author(s):  
Aurél Galántai
Keyword(s):  
Perturbation Bounds ◽  
Componentwise Perturbation

scholarly journals Applications of Paz's inequality to perturbation bounds for Markov chains

1998 ◽  
Vol 268 ◽  
pp. 183-196 ◽  
Author(s):  
Stephen J. Kirkland ◽  
Michael Neumann ◽  
Bryan L. Shader
Keyword(s):  
Markov Chains ◽  
Perturbation Bounds

Perturbation Bounds and Condition Numbers for a Complex Indefinite Linear Algebraic System

2016 ◽  
Vol 6 (2) ◽  
pp. 211-221 ◽  
Author(s):  
Lei Zhu ◽  
Wei-Wei Xu ◽  
Xing-Dong Yang
Keyword(s):  
Algebraic System ◽  
Condition Numbers ◽  
Linear Algebraic System ◽  
Science And Engineering ◽  
Numerical Examples ◽  
Interest In Science ◽  
Perturbation Bounds

AbstractWe consider perturbation bounds and condition numbers for a complex indefinite linear algebraic system, which is of interest in science and engineering. Some existing results are improved, and illustrative numerical examples are provided.

Differentiation of Operator Functions and Perturbation Bounds

1998 ◽  
Vol 191 (3) ◽  
pp. 603-611 ◽  
Author(s):  
Rajendra Bhatia ◽  
Dinesh Singh ◽  
Kalyan B. Sinha
Keyword(s):  
Perturbation Bounds ◽  
Operator Functions
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