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The effect of block red-black ordering on blockILU preconditioner for sparse matrices

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Abstract

It is well known that the ordering of the unknowns can have a significant effect on the convergence of a preconditioned iterative method and on its implementation on a parallel computer. To do so, we introduce a block red-black coloring to increase the degree of parallelism in the application of the blockILU preconditioner for solving sparse matrices, arising from convection-diffusion equations discretized using the finite difference scheme (five-point operator). We study the preconditioned PGMRES iterative method for solving these linear systems.

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Authors and Affiliations

  1. Department of mathematics, Ecole Normale Supérieure de Fès, Bensouda B.P., 5206, Fès, Morocco

    N. Guessous

  2. Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, B. P. 1796, Atlas Fès, Morocco

    O. Souhar

Authors
  1. N. Guessous
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  2. O. Souhar
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Correspondence to O. Souhar.

Additional information

Najib Guessous is a professor of Ecole Normale Supérieure de Fès, Department of mathematics, Bensouda B. P. 5206 Fès, Morocco

Otmane Souhar 2000-present: Ph. D. student, University of Fez, Department of Mathematics and Informatique, Morocco. 1997–1999: Graduation in mathematics “Multigrid methods and preconditioning” University of Fez, Department of Mathematics and Informatique, Morocco. 1996–1997: Studies of applied mathematics “Numerical Analysis” University of Mohammed V, Rabat, Morocco. 1994–1995: Studies of Mathematics and Physics, University of Chouaib Doukkali, El Jadida, Morocco.

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Guessous, N., Souhar, O. The effect of block red-black ordering on blockILU preconditioner for sparse matrices. JAMC 17, 283–296 (2005). https://doi.org/10.1007/BF02936055

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  • DOI: https://doi.org/10.1007/BF02936055

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