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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.6
О.М. Khimich1, O.V. Popov2, O.V. Chistyakov3, V.A. Sidoruk4


1 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

khimich505@gmail.com

2 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

alex50popov@gmail.com

3 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

alexej.chystyakov@gmail.com

4 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

wolodymyr.sydoruk@gmail.com

A PARALLEL ALGORITHM FOR SOLVING THE PARTIAL EIGENVALUE PROBLEM
FOR BLOCK-DIAGONAL BORDERED MATRICES

Abstract. A hybrid algorithm of the iteration method for the subspace of solution of a partial generalized eigenvalue problem for symmetric positive definite sparse matrices of block-diagonal structure with bordering on hybrid computers with graphic processors is proposed, efficiency coefficients of the algorithm are obtained, and the algorithm is tested against test and practical problems.

Keywords: algebraic eigenvalue problem, computer of hybrid architecture, hybrid algorithm, subspace iteration method, efficiency of parallel algorithm.



FULL TEXT

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