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024 7 _ |a 10.1016/0010-4655(96)00089-6
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024 7 _ |a 1386-9485
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024 7 _ |a 1879-2944
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037 _ _ |a FZJ-2019-01077
082 _ _ |a 530
100 1 _ |a Fischer, S.
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245 _ _ |a A parallel SSOR preconditioner for lattice QCD
260 _ _ |a Amsterdam
|c 1996
|b North Holland Publ. Co.
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520 _ _ |a We present a parallelizable SSOR preconditioning scheme for Krylov subspace iterative solvers which proves to be efficient in lattice QCD applications involving Wilson fermions. Our preconditioner is based on a locally lexicographic ordering of the lattice points. In actual Hybrid Monte Carlo applications with the bi-conjugate gradient stabilized method BiCGstab, we achieve a gain factor of about 2 in the number of iterations compared to conventional odd-even preconditioning. Whether this translates into similar reductions in run time will depend on the parallel computer in use. We discuss implementation issues using the ‘Eisenstat-trick’ and machine specific advantages of the method for the APE100/Quadrics parallel computer. In a full QCD simulation on a 512-processor Quadrics QH4 we find a gain in cpu-time of a factor of 1.7 over odd-even preconditioning for a 24^3 × 40 lattice.
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700 1 _ |a Frommer, A.
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700 1 _ |a Glässner, U.
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700 1 _ |a Lippert, Th.
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700 1 _ |a Ritzenhöfer, G.
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700 1 _ |a Schilling, K.
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773 _ _ |a 10.1016/0010-4655(96)00089-6
|g Vol. 98, no. 1-2, p. 20 - 34
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|t Computer physics communications
|v 98
|y 1996
|x 0010-4655
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