Tools for the eigenvalue distribution in a non-Hermitian setting |
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Authors: | Stefano Serra-Capizzano Debora Sesana |
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Institution: | Department of Physics and Mathematics, University of “Insubria”, Via Valleggio 11, 22100 Como, Italy |
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Abstract: | Under mild trace norm assumptions on the perturbing sequence, we extend a recent perturbation result based on a theorem by Mirsky. The analysis concerns the eigenvalue distribution and localization of a generic (non-Hermitian) complex perturbation of a bounded Hermitian sequence of matrices. Some examples of application are considered, ranging from the product of Toeplitz sequences to the approximation of PDEs with given boundary conditions. A final discussion on open questions and further lines of research ends the note. |
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Keywords: | 15A18 15A12 47B36 47B65 |
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