Cache Blocking for Linear Algebra Algorithms

  • Fred G. Gustavson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7203)

Abstract

We briefly describe Cache Blocking for Dense Linear Algebra Algorithms on computer architectures since about 1985. Before that one had uniform memory architectures. The Cray I machine was the last holdout. We cover the where, when, what, how and why of Cache Blocking. Almost all computer manufacturers have recently (about seven years ago) dramatically changed their computer architectures to produce Multicore (MC) processors. It will be seen that the arrangement in memory of the submatrices A ij of A is a critical factor for obtaining high performance. From a practical point of view, this work is very important as it will allow existing codes using LAPACK and ScaLAPACK to remain usable by new versions of LAPACK and ScaLAPACK.

Keywords

Dimension Theory Rectangular Block Cache Blocking Generalize Data Structure Basic Linear Algebra Subprogram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Fred G. Gustavson
    • 1
    • 2
  1. 1.IBM T.J. Watson Research Center, EmeritusUSA
  2. 2.Umeå UniversitySweden

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