Mercier, Sylvain and Gratton, Serge and Tardieu, Nicolas and Vasseur, Xavier
Limited memory preconditioners for nonsymmetric systems.
(2017)
In: 13ème Colloque National en Calcul des Structures (CSMA 2017), 15 May 2017 - 19 May 2017 (Giens, France).
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(Document in English)
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Official URL: https://csma2017.sciencesconf.org/125070
Abstract
This paper presents a class of limited memory preconditioners (LMPs) for solving linear systems of equations with multiple nonsymmetric matrices and multiple right-hand sides. These preconditioners based on limited memory quasi-Newton formulas require a small number k of linearly independent vectors. They may be used to improve an existing first-level preconditioner and are especially worth considering when the solution of a sequence of linear systems with slowly varying left-hand sides is addressed.
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