Perturbation Bounds for Determinants and Characteristic Polynomials

2008 ◽  
Vol 30 (2) ◽  
pp. 762-776 ◽  
Author(s):  
Ilse C. F. Ipsen ◽  
Rizwana Rehman
Keyword(s):  
Characteristic Polynomials ◽  
Perturbation Bounds

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

Note on graphs with irreducible characteristic polynomials

2021 ◽  
Author(s):  
Qian Yu ◽  
Fenjin Liu ◽  
Hao Zhang ◽  
Ziling Heng
Keyword(s):  
Characteristic Polynomials

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.

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