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@ARTICLE{Basermann:155203,
      author       = {Basermann, A.},
      title        = {{C}onjugate {G}radient and {L}anczos {M}ethods for {S}parse
                      {M}atrices on {D}istributed {M}emory {M}ultiprocessors},
      journal      = {Journal of parallel and distributed computing},
      volume       = {45},
      number       = {1},
      issn         = {0743-7315},
      address      = {Orlando, Fla.},
      publisher    = {Academic Press},
      reportid     = {FZJ-2014-04384},
      pages        = {46 - 52},
      year         = {1997},
      abstract     = {Conjugate gradient methods for solving sparse systems of
                      linear equations and Lanczos algorithms for sparse symmetric
                      eigenvalue problems play an important role in numerical
                      methods for solving discretized partial differential
                      equations. When these iterative solvers are parallelized on
                      a multiprocessor system with distributed memory, the data
                      distribution and the communication scheme—depending on the
                      data structures used for the sparse coefficient
                      matrices—are crucial for efficient execution. Here, data
                      distribution and communication schemes are presented that
                      are based on the analysis of the indices of the nonzero
                      matrix elements. On an Intel PARAGON XP/S 10 with 140
                      processors, the developed parallel variants of the solvers
                      show good scaling behavior for matrices with different
                      sparsity patterns stemming from real finite element
                      applications.},
      cin          = {ZAM / JSC},
      ddc          = {004},
      cid          = {I:(DE-Juel1)VDB62 / I:(DE-Juel1)JSC-20090406},
      pnm          = {899 - ohne Topic (POF2-899)},
      pid          = {G:(DE-HGF)POF2-899},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:A1997YE90400004},
      doi          = {10.1006/jpdc.1997.1364},
      url          = {https://juser.fz-juelich.de/record/155203},
}