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Title: The implicit application of a rational filter in the RKS method
Authors: De Samblanx, Gorik ×
Meerbergen, Karl
Bultheel, Adhemar #
Issue Date: Dec-1997
Publisher: BIT Foundation
Series Title: BIT vol:37 issue:4 pages:925-947
Abstract: The implicitly restarted Arnoldi method implicitly applies a polynomial filter to the Arnoldi vectors by use of orthogonal transformations. In this paper, an implicit filtering by rational functions is proposed for the rational Krylov method. This filtering is performed in an efficient way. Two applications are considered. The first one is the filtering of unwanted eigenvalues using exact shifts. This approach is related to the use of exact shifts in the implicitly restarted Arnoldi method. Second, eigenvalue problems can have an infinite eigenvalue without physical relevance. This infinite eigenvalue can corrupt the eigensolution. An implicit filtering is proposed for avoiding such corruptions.
URI: 
ISSN: 0006-3835
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
Technologiecluster ESAT Elektrotechnische Engineering
Electrical Engineering (ESAT) TC, Technology Campus De Nayer Sint-Katelijne-Waver
× corresponding author
# (joint) last author

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