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arxiv: 0901.3512 · v2 · submitted 2009-01-22 · ✦ hep-lat

Seed methods for linear equations in lattice qcd problems with multiple right-hand sides

classification ✦ hep-lat
keywords right-handsidesconvergencefirstlinearmethodsmultipleseed
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We consider three improvements to seed methods for Hermitian linear systems with multiple right-hand sides: only the Krylov subspace for the first system is used for seeding subsequent right-hand sides, the first right-hand side is solved past convergence, and periodic re-orthogonalization is used in order to control roundoff errors associated with the Conjugate Gradient algorithm. The method is tested for the case of Wilson fermions near kappa critical and a considerable speed up in the convergence is observed.

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