Rational Krylov Methods for Operator Functions

Rational Krylov Methods for Operator Functions

We present a unified and self-contained treatment of rational Krylov methods for approximating the product of a function of a linear operator with a vector. With the help of general rational Krylov decompositions we reveal the connections between seemingly different approximation methods, such as th...

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Bibliographic Details
Main Author: Güttel, Stefan
Other Authors: TU Bergakademie Freiberg, Mathematik und Informatik
Format: Doctoral Thesis
Language:English
Published: Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola" 2010
Subjects:
rational Krylov
operator functions
decompositions
approximations
Rayleigh-Ritz method
PAIN method
hybrid methods
error estimators
inexact solves
parallel rational Arnoldi
parameter optimization
potential theory
superlinear convergence
rationale Krylow-Verfahren
Operatorfunktionen
Krylow-Zerlegungen
Krylow-Approximationen
Rayleigh-Ritz Methode
PAIN Methode
hybride Krylow-Verfahren
Fehlerschätzer
inexakte Gleichungslöser
Parallelisierung
optimale Parameter
Potenzialtheorie
ddc:510
rvk:SK 620
rvk:SK 915
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-27645
http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-27645
http://www.qucosa.de/fileadmin/data/qucosa/documents/2764/diss_guettel.pdf

Internet

http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-27645
http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-27645
http://www.qucosa.de/fileadmin/data/qucosa/documents/2764/diss_guettel.pdf

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