Pseudospectra and structured pseudospectra
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- John D. Hardee (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
- Advisor
- 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.
Pseudospectra and structured pseudospectra
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Created on 12/1/2012
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Additional Information
- Publication
- Thesis
- Language: English
- Date: 2012
- Keywords
- Perturbation, Perturbations, Pseudospectra, Pseudospectrum, Structured pseudospectra, Structured pseudospectrum
- Subjects
- Spectral theory (Mathematics)
- Perturbation (Mathematics)
- Eigenvalues