Freitag, Melina A.Kürschner, PatrickMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292013https://epflicht.bibliothek.uni-halle.de/handle/123456789/3892870435000urn:nbn:de:gbv:3:2-641722481710Abstract: Convergence results are provided for inexact two-sided inverse and Rayleigh quotient iteration, which extend the previously established results to the generalized eigenproblem, and inexact solves with a decreasing solve tolerance. Moreover, the simultaneous solution of the forward and adjoint problem arising in two-sided methods is considered and the successful tuning strategy for preconditioners is extended to two-sided methods. Furthermore, it is shown that inexact two-sided Rayleigh quotient iteration and the inexact two-sided Jacobi-Davidson method (without subspace expansion) applied to the generalized preconditioned eigenvalue problem are equivalent when a certain number of steps of a Petrov-Galerkin-Krylov method is used, and when this specific tuning strategy is applied.1 Online-Ressource (26 Seiten = 0,55 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book