Parallel Computing in Electrical Engineering, 2004. International Conference on (2002)

Warsaw, Poland

Sept. 22, 2002 to Sept. 25, 2002

ISBN: 0-7695-1730-7

pp: 318

Robert Piotr Bycul , Technical University of Bialystok

Andrzej Jordan , Technical University of Bialystok

Marcin Cichomski , Polish-Japanese Institute of Information Technology

ABSTRACT

<p>In the article the authors describe an idea of parallel implementation of a conjugate gradient method in a heterogeneous PC cluster and a supercomputer Hitachi SR-2201. The new version of algorithm implementation differs from the one applied earlier [1], because it uses a special method for storing sparse coefficient matrices: only non-zero elements are stored and taken into account during computations, so that the sparsity of the coefficient matrix is taken full advantage of.</p> <p>The article includes a comparison of the two versions. A speedup of the parallel algorithm has been examined for three different cases of coefficient matrices resulting in solving different physical problems. The authors have also investigated a preconditioning method, which uses the inversed diagonal of the coefficient matrix, as a preconditioning matrix.</p>

INDEX TERMS

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CITATION

Robert Piotr Bycul,
Andrzej Jordan,
Marcin Cichomski,
"A New Version of Conjugate Gradient Method Parallel Implementation",

*Parallel Computing in Electrical Engineering, 2004. International Conference on*, vol. 00, no. , pp. 318, 2002, doi:10.1109/PCEE.2002.1115282CITATIONS