Premium
An Arnoldi type projection method for nonlinear symmetric eigenproblems
Author(s) -
Voss Heinrich
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310546
Subject(s) - nonlinear system , mathematics , projection (relational algebra) , inverse , type (biology) , arnoldi iteration , residual , mathematical analysis , iterative method , projection method , space (punctuation) , generalized minimal residual method , mathematical optimization , geometry , algorithm , dykstra's projection algorithm , computer science , physics , geology , paleontology , quantum mechanics , operating system
For the nonlinear symmetric eigenproblem T(λ)x = 0 we consider an iterative projection method where the current search space is expanded by the direction governed by residual inverse iteration and the projected nonlinear eigenproblems are solved by safeguarded iteration.