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@ARTICLE{Bolten:21133,
      author       = {Bolten, M. and Thiess, A. and Yavneh, I. and Zeller, R.},
      title        = {{P}reconditioning systems arising from the {KKR} {G}reen
                      function method using block-circulant matrices},
      journal      = {Linear algebra and its applications},
      volume       = {436},
      issn         = {0024-3795},
      address      = {New York, NY},
      publisher    = {American Elsevier Publ.},
      reportid     = {PreJuSER-21133},
      pages        = {436 - 446},
      year         = {2012},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Recently, a linearly scaling method for the calculation of
                      the electronic structure based on the Korringa-Kohn-Rostoker
                      Green function method has been proposed. The method uses the
                      transpose free quasi minimal residual method (TFQMR) to
                      solve linear systems with multiple right hand sides. These
                      linear systems depend on the energy-level under
                      consideration and the convergence rate deteriorates for some
                      of these energy points. While traditional preconditioners
                      like ILU are fairly useful for the problem, the computation
                      of the preconditioner itself is often relatively hard to
                      parallelize. To overcome these difficulties, we develop a
                      new preconditioner that exploits the strong structure of the
                      underlying systems. The resulting preconditioner is
                      block-circulant and thus easy to compute, invert and
                      parallelize. The resulting method yields a dramatic speedup
                      of the computation compared to the unpreconditioned solver,
                      especially for critical energy levels. (C) 2011 Elsevier
                      Inc. All rights reserved.},
      keywords     = {J (WoSType)},
      cin          = {PGI-1 / IAS-1 / IAS-3 / PGI-2},
      ddc          = {510},
      cid          = {I:(DE-Juel1)PGI-1-20110106 / I:(DE-Juel1)IAS-1-20090406 /
                      I:(DE-Juel1)IAS-3-20090406 / I:(DE-Juel1)PGI-2-20110106},
      pnm          = {Grundlagen für zukünftige Informationstechnologien},
      pid          = {G:(DE-Juel1)FUEK412},
      shelfmark    = {Mathematics, Applied},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000298122500015},
      doi          = {10.1016/j.laa.2011.05.019},
      url          = {https://juser.fz-juelich.de/record/21133},
}