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Title
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Preconditioned recycling krylov subspace methods for self-adjoint problems
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Electronic transactions on numerical analysis. - Kent, Ohio
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Publication
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Kent, Ohio
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2015
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ISSN
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1068-9613
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Volume/pages
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44
(2015)
, p. 522-547
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ISI
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000367556700025
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Full text (open access)
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