% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{FROMMER:860337,
      author       = {FROMMER, ANDREAS and NÖCKEL, BERTOLD and GÜSKEN, STEPHAN
                      and LIPPERT, THOMAS and SCHILLING, KLAUS},
      title        = {{MANY} {MASSES} {ON} {ONE} {STROKE}: {ECONOMIC}
                      {COMPUTATION} {OF} {QUARK} {PROPAGATORS}},
      journal      = {International journal of modern physics / C Computational
                      physics and physical computation C},
      volume       = {06},
      number       = {05},
      issn         = {1793-6586},
      address      = {Singapore [u.a.]},
      publisher    = {World Scientific},
      reportid     = {FZJ-2019-01112},
      pages        = {627 - 638},
      year         = {1995},
      abstract     = {The computational effort in the calculation of Wilson
                      fermion quark propagators in Lattice Quantum Chromodynamics
                      can be considerably reduced by exploiting the Wilson fermion
                      matrix structure in inversion algorithms based on the
                      non-symmetric Lanczos process. We consider two such methods:
                      QMR (quasi minimal residual) and BCG (biconjugate
                      gradients).Based on the decomposition M/κ = 1/κ−D of the
                      Wilson mass matrix, using QMR, one can carry out inversions
                      on a whole trajectory of masses simultaneously, merely at
                      the computational expense of a single propagator
                      computation. In other words, one has to compute the
                      propagator corresponding to the lightest mass only, while
                      all the heavier masses are given for free, at the price of
                      extra storage.Moreover, the symmetry γ5M = M†γ5 can be
                      used to cut the computational effort in QMR and BCG by a
                      factor of two. We show that both methods then become — in
                      the critical regime of small quark masses — competitive to
                      BiCGStab and significantly better than the standard MR
                      method, with optimal relaxation factor, and CG as applied to
                      the normal equations.},
      ddc          = {530},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1142/S0129183195000538},
      url          = {https://juser.fz-juelich.de/record/860337},
}