On Pseudospectra of Matrix Polynomials and their Boundaries

Details On Pseudospectra of Matrix Polynomials and their Boundaries On Pseudospectra of Matrix Polynomials and their Boundaries

2006-04-10

arxiv.org/abs/math/0604229v3

Mathematics

Spectral Theory

31 pages, 5 figures, recently submitted to Mathematics of Computation. In this revised version we have corrected some further

Scientific paper

In the first part of this paper, the main concern is with smoothness
properties of the boundary of the pseudospectrum of a matrix polynomial. In the
second part, results are obtained concerning the number of connected components
of pseudospectra, as well as results concerning matrix polynomials with
multiple eigenvalues, or the proximity to such polynomials.

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