Dieses Dokument steht unter einer CreativeCommons Lizenz by/4.0
Verlagslink DOI: 10.1007/s00211-016-0804-3
Titel: Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property
Sprache: English
Autor/Autorin: Betcke, Marta 
Voß, Heinrich 
Schlagwörter: Iterative projection method;Jacobi-Davidson method;minmax characterization;nonlinear Arnoldi method;nonlinear eigenvalue problem;restart;purge and lock
Erscheinungsdatum: 14-Mai-2016
Verlag: Springer
Quellenangabe: Numerische Mathematik 2 (135): 397-430 (2017)
Zeitschrift oder Schriftenreihe: Numerische Mathematik 
Zusammenfassung (englisch): In this work we present a new restart technique for iterative projection methods for nonlinear eigenvalue problems admitting minmax characterization of their eigenvalues. Our technique makes use of the minmax induced local enumeration of the eigenvalues in the inner iteration. In contrast to global numbering which requires including all the previously computed eigenvectors in the search subspace, the proposed local numbering only requires a presence of one eigenvector in the search subspace. This effectively eliminates the search subspace growth and therewith the super-linear increase of the computational costs if a large number of eigenvalues or eigenvalues in the interior of the spectrum are to be computed. The new restart technique is integrated into nonlinear iterative projection methods like the Nonlinear Arnoldi and Jacobi-Davidson methods. The efficiency of our new restart framework is demonstrated on a range of nonlinear eigenvalue problems: quadratic, rational and exponential including an industrial real-life conservative gyroscopic eigenvalue problem modeling free vibrations of a rolling tire. We also present an extension of the method to problems without minmax property but with eigenvalues which have a dominant either real or imaginary part and test it on two quadratic eigenvalue problems.
URI: http://tubdok.tub.tuhh.de/handle/11420/1803
DOI: 10.15480/882.1800
ISSN: 0945-3245
Institut: Mathematik E-10 
Dokumenttyp: (wissenschaftlicher) Artikel
Sponsor / Fördernde Einrichtung: EPSRC Postdoctoral Fellowship (Grant Number EP/H02865X/1)
Enthalten in den Sammlungen:Publications (tub.dok)

Dateien zu dieser Ressource:
Datei Beschreibung GrößeFormat
Betcke-Voss2017_Article_RestartingIterativeProjectionM.pdfVerlags-PDF1,42 MBAdobe PDFÖffnen/Anzeigen
Zur Langanzeige

Seitenansichten

51
Letzte Woche
2
Letzten Monat
4
checked on 22.03.2019

Download(s)

8
checked on 22.03.2019

Google ScholarTM

Prüfe

Export

Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons Creative Commons