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.
|Titolo:||Tools for the eigenvalue distribution in a non-Hermitian setting|
|Autori interni:||SERRA CAPIZZANO, STEFANO|
|Data di pubblicazione:||2009|
|Rivista:||LINEAR ALGEBRA AND ITS APPLICATIONS|
|Appare nelle tipologie:||Articolo su Rivista|