Abstract. Hybrid algorithms for solving a partial generalized eigenvalue problem for symmetric positive-definite sparse matrices of different structures on hybrid computers with graphic processors are proposed, coefficients for the efficiency of the algorithms are obtained, and approbation of the developed algorithms for test and practical problems is carried out.
Keywords: algebraic eigenvalue problem, computer of hybrid architecture, hybrid algorithm, subspace iteration method, conjugate gradient methods, efficiency of parallel algorithms.
1 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: khimich505@gmail.com.
2 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: alex50popov@gmail.com.
3 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: alexej.chystyakov@gmail.com.