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

Physics – High Energy Physics – High Energy Physics - Lattice

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7 pages, 2 figures. Presented at the 26th International Symposium on Lattice Field Theory, Williamsburg, VA, USA, 14-19 Jul 20

Scientific paper

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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