Title
Preconditioned recycling krylov subspace methods for self-adjoint problems Preconditioned recycling krylov subspace methods for self-adjoint problems
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Kent, Ohio ,
Subject
Mathematics
Source (journal)
Electronic transactions on numerical analysis. - Kent, Ohio
Volume/pages
44(2015) , p. 522-547
ISSN
1068-9613
ISI
000367556700025
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
A recycling Krylov subspace method for the solution of a sequence of self-adjoint linear systems is proposed. Such problems appear, for example, in the Newton process for solving nonlinear equations. Ritz vectors are automatically extracted from one MINRES run and then used for self-adjoint deflation in the next. The method is designed to work with arbitrary inner products and arbitrary self-adjoint positive-definite preconditioners whose inverse can be computed with high accuracy. Numerical experiments with nonlinear Schrodinger equations indicate a substantial decrease in computation time when recycling is used.
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/12c837/131117.pdf
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Handle