Design and Implementation of a Cost-Optimal Parallel Tridiagonal System Solver Using Skeletons

  • Holger Bischof
  • Sergei Gorlatch
  • Emanuel Kitzelmann
Conference paper

DOI: 10.1007/978-3-540-45145-7_39

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2763)
Cite this paper as:
Bischof H., Gorlatch S., Kitzelmann E. (2003) Design and Implementation of a Cost-Optimal Parallel Tridiagonal System Solver Using Skeletons. In: Malyshkin V.E. (eds) Parallel Computing Technologies. PaCT 2003. Lecture Notes in Computer Science, vol 2763. Springer, Berlin, Heidelberg

Abstract

We address the problem of systematically designing correct parallel programs and developing their efficient implementations on parallel machines. The design process starts with an intuitive, sequential algorithm and proceeds by expressing it in terms of well-defined, pre-implemented parallel components called skeletons. We demonstrate the skeleton-based design process using the tridiagonal system solver as our example application. We develop step by step three provably correct, parallel versions of our application, and finally arrive at a cost-optimal implementation in MPI (Message Passing Interface). The performance of our solutions is demonstrated experimentally on a Cray T3E machine.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Holger Bischof
    • 1
  • Sergei Gorlatch
    • 1
  • Emanuel Kitzelmann
    • 1
  1. 1.Technische Universität BerlinGermany

Personalised recommendations