Research Article Open Access

Parallel Approaches for Intervals Analysis of Variable Statistics in Large and Sparse Linear Equations with RHS Ranges

Peerayuth Charnsethikul

Abstract

This study proposes an algorithm capable of working in parallel for solving large and sparse linear equations under given right hand side (RHS) ranges. A comparative study to the direct linear programming method is reported theoretically, computationally and discussed. Moreover, the approach can be adapted for the system under domain decompositions structure leading to a better efficiency experimentally.

American Journal of Applied Sciences
Volume 4 No. 5, 2007, 300-306

DOI: https://doi.org/10.3844/ajassp.2007.300.306

Submitted On: 11 February 2007 Published On: 31 May 2007

How to Cite: Charnsethikul, P. (2007). Parallel Approaches for Intervals Analysis of Variable Statistics in Large and Sparse Linear Equations with RHS Ranges . American Journal of Applied Sciences, 4(5), 300-306. https://doi.org/10.3844/ajassp.2007.300.306

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Keywords

  • RHS ranges
  • large and sparse linear equations
  • parallel approaches
  • domain decompositions