Preconditioner Updates for Solving Sequences of Linear Systems in Matrix-Free Environment

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Preconditioner Updates for Solving Sequences of Linear Systems in Matrix-Free Environment
Original language description
We present two new ways of preconditioning sequences of nonsymmetric linear systems in the special case where the implementation is matrix free. Both approaches are based on the general updates of incomplete LU decompositions recently introduced in (SISC2007; 29(5):1918?1941) and they may be directly embedded into nonlinear algebraic solvers. The first approach uses a new model of partial matrix estimation to compute the updates. The second approach exploits separability of function components to applythe updated preconditioner via function evaluations. Experiments with matrix-free implementations of test problems show that both techniques offer useful, robust and black-box solution strategies.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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