Localization of the matrix spectrum and Lyapunov type equations
Classical Analysis and ODEs
2023-12-20 v1 Spectral Theory
Abstract
The problems on the location of the matrix spectrum inside or outside domains bounded by ellipses or parabolas are studied. Special Lyapunov-type equations are connected with these problems. Theorems about the unique solvability of such equations are proved. Conditions for perturbations of matrix entries are obtained, which guarantee that the spectra of the perturbed matrices belong to the specified domains as well.
Cite
@article{arxiv.2312.12177,
title = {Localization of the matrix spectrum and Lyapunov type equations},
author = {G. V. Demidenko and Z. Wang},
journal= {arXiv preprint arXiv:2312.12177},
year = {2023}
}