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@ARTICLE{Krmer:127962,
      author       = {Krämer, Lukas and Di Napoli, Edoardo and Galgon, Martin
                      and Lang, Bruno and Bientinesi, Paolo},
      title        = {{D}issecting the {FEAST} algorithm for generalized
                      eigenproblems},
      journal      = {Journal of computational and applied mathematics},
      volume       = {244},
      address      = {Amsterdam [u.a.]},
      publisher    = {North-Holland},
      reportid     = {FZJ-2012-00908},
      pages        = {1 - 9},
      year         = {2013},
      abstract     = {We analyze the FEAST method for computing selected
                      eigenvalues and eigenvectors of large sparse matrix pencils.
                      After establishing the close connection between FEAST and
                      the well-known Rayleigh–Ritz method, we identify several
                      critical issues that influence convergence and accuracy of
                      the solver: the choice of the starting vector space, the
                      stopping criterion, how the inner linear systems impact the
                      quality of the solution, and the use of FEAST for computing
                      eigenpairs from multiple intervals. We complement the study
                      with numerical examples, and hint at possible improvements
                      to overcome the existing problems.},
      cin          = {JSC},
      ddc          = {510},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411) / Simulation and Data Laboratory Quantum
                      Materials (SDLQM) (SDLQM)},
      pid          = {G:(DE-HGF)POF2-411 / G:(DE-Juel1)SDLQM},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000315066000001},
      doi          = {10.1016/j.cam.2012.11.014},
      url          = {https://juser.fz-juelich.de/record/127962},
}