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Limited memory preconditioners for nonsymmetric systems


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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hal-01923673 , version 1 (15-11-2018)


  • HAL Id : hal-01923673 , version 1


Sylvain Mercier, Serge Gratton, Nicolas Tardieu, Xavier Vasseur. Limited memory preconditioners for nonsymmetric systems. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01923673⟩
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