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@ARTICLE{GLSSNER:860338,
      author       = {GLÄSSNER, UWE and GÜSKEN, STEPHAN and LIPPERT, THOMAS and
                      RITZENHÖFER, GERO and SCHILLING, KLAUS and FROMMER,
                      ANDREAS},
      title        = {{HOW} {TO} {COMPUTE} {GREEN}'{S} {FUNCTIONS} {FOR} {ENTIRE}
                      {MASS} {TRAJECTORIES} {WITHIN} {KRYLOV} {SOLVERS}},
      journal      = {International journal of modern physics / C Computational
                      physics and physical computation C},
      volume       = {07},
      number       = {05},
      issn         = {1793-6586},
      address      = {Singapore [u.a.]},
      publisher    = {World Scientific},
      reportid     = {FZJ-2019-01113},
      pages        = {635 - 644},
      year         = {1996},
      abstract     = {The availability of efficient Krylov subspace solvers plays
                      a vital role in the solution of a variety of numerical
                      problems in computational science. Here we consider lattice
                      field theory. We present a new general numerical method to
                      compute many Green's functions for complex non-singular
                      matrices within one iteration process. Our procedure applies
                      to matrices of structure A = D − m, with m proportional to
                      the unit matrix, and can be integrated within any Krylov
                      subspace solver. We can compute the derivatives x(n) of the
                      solution vector x with respect to the parameter m and
                      construct the Taylor expansion of x around m. We demonstrate
                      the advantages of our method using a minimal residual
                      solver. Here the procedure requires one intermediate vector
                      for each Green's function to compute. As real-life example,
                      we determine a mass trajectory of the Wilson fermion matrix
                      for lattice QCD. Here we find that we can obtain Green's
                      functions at all masses ≥ m at the price of one inversion
                      at mass m.},
      ddc          = {530},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1142/S0129183196000533},
      url          = {https://juser.fz-juelich.de/record/860338},
}