A new stopping criterion for linear perturbed asynchronous iterations

  • Authors:
  • J. C. Miellou;P. Spiteri;D. El Baz

  • Affiliations:
  • Département de Mathématiques, UFR Sciences et Techniques, 16 route de Gray, F-25030 Besançon-Cedex, France;ENSEEIHT-IRIT/LIMA, 2 rue Camichel, B.P. 7122, F- 31071 Toulouse-Cedex, France;LAAS-CNRS, 7 avenue du Colonel Roche, F-31077 Toulouse-Cedex 4, France

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

A new stopping criterion is proposed for asynchronous linear fixed point methods in finite precision. The case of absolute error is considered. The originality of this stopping criterion relies on the fact that all tests are made within the same macroiteration.