Spectral conditioning and pseudospectral growth
نویسندگان
چکیده
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. Mathematics Subject Classification (2000) 15A18 · 65F15
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 107 شماره
صفحات -
تاریخ انتشار 2007