Titel: Rational Krylov for nonlinear eigenproblems, an iterative projection method
Sprache: Englisch
Autor/Autorin: Jarlebring, Elias
Voß, Heinrich
Schlagwörter: nonlinear eigenvalue problem;rational Krylov;Arnoldi;projection method
Erscheinungsdatum: 2003
Zusammenfassung (englisch): In recent papers Ruhe [10], [12] suggested a rational Krylov method for nonlinear eigenproblems knitting together a secant method for linearizing the nonlinear problem and the Krylov method for the linearized problem. In this note we point out that the method can be understood as an iterative projection method. Similar to the Arnoldi method presented in [13], [14] the search space is expanded by the direction from residual inverse iteration. Numerical methods demonstrate that the rational Krylov method can be accelerated considerably by replacing an inner iteration by an explicit solver of projected problems.
URI: http://tubdok.tub.tuhh.de/handle/11420/138
URN: urn:nbn:de:gbv:830-opus-1972
DOI: 10.15480/882.136
Institut: Mathematik E-10
Mathematics E-10
Dokumenttyp: ResearchPaper
Enthalten in den Sammlungen:tub.dok

Dateien zu dieser Ressource:
Datei Beschreibung GrößeFormat 
rep69.pdf144,85 kBAdobe PDFMiniaturbild
Öffnen/Anzeigen

Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt.