Inexact iterative projection methods for linear and nonlinear eigenvalue problems
Citation Link: https://doi.org/10.15480/882.2711
Publikationstyp
Doctoral Thesis
Date Issued
2020
Sprache
English
Author(s)
Advisor
Voß, Heinrich
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2019-08-30
Institut
TORE-DOI
TORE-URI
Citation
Technische Universität Hamburg (2020)
Publisher
Dr. Hut
ISBN of container
978-3-8439-4338-3
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.
Subjects
Jacobi-Davidson method
nonlinear eigenvalue problem
iterative projection method
DDC Class
500: Naturwissenschaften
510: Mathematik