Solving systems of interval linear equations in parallel using multithreaded model and "interval extended zero" method

  • Authors:
  • Mariusz Pilarek;Roman Wyrzykowski

  • Affiliations:
  • Institute of Computer and Information Sciences, Czestochowa University of Technology, Czestochowa, Poland;Institute of Computer and Information Sciences, Czestochowa University of Technology, Czestochowa, Poland

  • Venue:
  • PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
  • Year:
  • 2011

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Abstract

In this paper, an approach to the solution of systems of interval linear equations with the use of the parallel machines is presented, based on parallel multithreaded model and "interval extended zero" method. This approach not only allows us to decrease the undesirable excess width effect, but makes it possible to avoid the inverted interval solutions too. The efficiency of this method has been already proved for non-parallel systems. Here it is shown that it can be also used to perform efficient calculations on parallel machines using the multithreaded model.