ISBN 9783843943383

978-3-8439-4338-3, Reihe Mathematik

Nicolai Rehbein
Inexact Iterative Projection Methods for Linear and Nonlinear Eigenvalue Problems

163 Seiten, Dissertation Technische Universität Hamburg (2019), Softcover, B5

Zusammenfassung / Abstract

We give a general approach of the Jacobi-Davidson method based on any vector iteration to solve a linear or nonlinear eigenvalue problem.

The influence of solving the Jacobi-Davidson correction equation inexactly is considered and we can prove linear convergence for three different cases of prerequisites. Finally, a special two parameter eigenvalue problem caused by dynamical systems with time delay is considered. Therefor, a functional which is similar to the Rayleigh functional is introduced.