Holomorphic and meromorphic eigenvalue problems: theory and numerics

Abstract

The thesis addresses three broad problems in the area of theory and numerics of nonlinear eigenvalue problems. The first problem concerns with spectral analysis of holomorphic and meromorphic eigenvalue problems. The second problem concerns with perturbation theory of holomorphic eigenvalue problems as well as realization and linearization of meromorphic matrices. The third problem concerns with numerical solution of holomorphic and meromorphic eigenvalue problems.