Abstract
Using the language of pseudospectra, we study the behavior of matrix eigenvalues under two scales of matrix perturbation. First, we relate Lidskii's analysis of small perturbations to a recent result of Karow on the growth rate of pseudospectra. Then, considering larger perturbations, we follow recent work of Alam and Bora in characterizing the distance from a given matrix to the set of matrices with multiple eigenvalues in terms of the number of connected components of pseudospectra.
Original language | English (US) |
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Pages (from-to) | 27-37 |
Number of pages | 11 |
Journal | Numerische Mathematik |
Volume | 107 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2007 |
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics