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  • 标题:Design and Implementation of the ScaLAPACK LU, QR, and Cholesky Factorization Routines
  • 本地全文:下载
  • 作者:Jaeyoung Choi ; Jack J. Dongarra ; L. Susan Ostrouchov
  • 期刊名称:Scientific Programming
  • 印刷版ISSN:1058-9244
  • 出版年度:1996
  • 卷号:5
  • 期号:3
  • 页码:173-184
  • DOI:10.1155/1996/483083
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    This article discusses the core factorization routines included in the ScaLAPACK library. These routines allow the factorization and solution of a dense system of linear equations via LU, QR, and Cholesky. They are implemented using a block cyclic data distribution, and are built using de facto standard kernels for matrix and vector operations (BLAS and its parallel counterpart PBLAS) and message passing communication (BLACS). In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without a significant loss in performance. We present the details of the implementation of the ScaLAPACK factorization routines, as well as performance and scalability results on the Intel iPSC/860, Intel Touchstone Delta, and Intel Paragon System.

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