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@ARTICLE{Fischer:860302,
      author       = {Fischer, S. and Frommer, A. and Glässner, U. and Lippert,
                      Th. and Ritzenhöfer, G. and Schilling, K.},
      title        = {{A} parallel {SSOR} preconditioner for lattice {QCD}},
      journal      = {Computer physics communications},
      volume       = {98},
      number       = {1-2},
      issn         = {0010-4655},
      address      = {Amsterdam},
      publisher    = {North Holland Publ. Co.},
      reportid     = {FZJ-2019-01077},
      pages        = {20 - 34},
      year         = {1996},
      abstract     = {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.},
      ddc          = {530},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1016/0010-4655(96)00089-6},
      url          = {https://juser.fz-juelich.de/record/860302},
}