A Parallel Algorithm for Solving a Partial Eigenvalue Problem for Block-Diagonal Bordered Matrices

A hybrid algorithm of the iterative method for the solution subspace 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 algorith...

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Veröffentlicht in:	Cybernetics and systems analysis 2020-11, Vol.56 (6), p.913-923
Hauptverfasser:	Khimich, O. M., Popov, O. V., Chistyakov, O. V., Sidoruk, V. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Artificial Intelligence Control Mathematics Mathematics and Statistics Processor Architectures Software Engineering/Programming and Operating Systems Systems Theory
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Beschreibung
Zusammenfassung:	A hybrid algorithm of the iterative method for the solution subspace 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.
ISSN:	1060-0396 1573-8337
DOI:	10.1007/s10559-020-00311-z