On the parallel technologies of conjugate and semi-conjugate gradient methods for solving very large sparse SLAEs

Authors:
Valery P. Ilin;Dasha V. Knysh
Affiliations:
Head of Laboratory, Institute of Computational, Mathematics and Mathematical Geophysics, SBRAS, Novosibirsk;Novosibirsk State University, Novosibirsk
Venue:
PaCT'07 Proceedings of the 9th international conference on Parallel Computing Technologies
Year:
2007

Citing 2
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Iterative Methods for Sparse Linear Systems

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Abstract

The parallel technologies of iterative solving the symmetric and nonsymmetric systems of linear algebraic equations (SLAEs) with very large sparse matrices by means of conjugate and semi-conjugate gradient iterative methods are described. The performance computing for various matrix formats (diagonal, compressed sparse row/column), at the different degrees of freedom of SLAEs, are analysed. The results of experimental measurements under OPENMP, MPI and hybrid systems are presented and discussed.