Portable and efficient factorization algorithms on the IBM 3090/VF

  • Authors:

  • Peter Mayes;Giuseppi Radicati di Brozolo

  • Affiliations:

  • The Numerical Algorithms Group Ltd, Wilkinson House, Jordan Hill Road, Oxford OX2 8DR, UK;IBM European Center for Scientific and Engineering Computing, IBM Italia spa, via Giorgione 159, 00147 Roma, Italia

  • Venue:
  • ICS '89 Proceedings of the 3rd international conference on Supercomputing
  • Year:
  • 1989

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Abstract

This paper describes a series of experiments performed with block versions of the LU, Cholesky and QR factorizations using Level 3 BLAS on one processor of the IBM 3090/VF. We show that the LAPACK approach to designing linear algebra software that is both portable and efficient, namely calling optimized versions of the Level 3 BLAS kernels, is likely to be a successful way to exploit machines with hierarchical memories.