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A Jacobi-Davidson type method for the generalized singular value problem

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Abstract

We discuss a new method for the iterative computation of some of the generalized singular values and vectors of a large sparse matrix. Our starting point is the augmented matrix formulation of the GSVD. The subspace expansion is performed by (approximately) solving a Jacobi–Davidson type correction equation, while we give several alternatives for the subspace extraction. Numerical experiments illustrate the performance of the method.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages26
Publication statusPublished - 2009

Publication series

NameCASA-report
Volume0910
ISSN (Print)0926-4507

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