Pseudospectra and structured pseudospectra

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
John D. Hardee (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site:
Richard Fabiano

Abstract: Pseudospectra and structured pseudospectra are subsets of the complex plane which give a geometric representation, via eigenvalues, of the effects of perturbations to a matrix. We survey the historical development of the subject, and the definitions and characterizations of the various sets of pseudospectra. Motivated by the fact that a nonnormal matrix in the 2-norm can become normal in a different norm, we describe a numerical investigation into the question of characterizing which perturbations have the greatest effect on the eigenvalues of the matrix.

Additional Information

Language: English
Date: 2012
Perturbation, Perturbations, Pseudospectra, Pseudospectrum, Structured pseudospectra, Structured pseudospectrum
Spectral theory (Mathematics)
Perturbation (Mathematics)

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