Eigenvalues, Pseudospectrum and Structured Perturbations

Abstract

We investigate the behavior of eigenvalues under structured perturbations. We show that for many common structures such as (complex) symmetric, Toeplitz, symmetric Toeplitz, circulant and others the structured condition number is equal to the unstructured condition number for normwise perturbations, and prove similar results for real perturbations. An… (More)

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Cite this paper

@inproceedings{Rump2005EigenvaluesPA, title={Eigenvalues, Pseudospectrum and Structured Perturbations}, author={Siegfried M. Rump}, year={2005} }