Extending lyapack to the solution of band Lyapunov equations on hybrid CPU-GPU platforms / Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Orti, Alfredo Remon
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870659774
URN
urn:nbn:de:gbv:3:2-64541
DOI
ISBN
ISSN
Beiträger
Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, July 24, 2014
Umfang
1 Online-Ressource (12 Seiten = 0,19 MB) : Diagramme
Ausgabevermerk
Sprache
eng
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Inhaltliche Zusammenfassung
Abstract: The solution of large-scale Lyapunov equations is an important tool for the solution of several engineering problems arising in optimal control and model order reduction. In this work we investigate the case when the coefficient matrix of the equations presents a band structure. Exploiting the structure of this matrix we can achieve relevant reductions in the memory requirements and the number of floating-point operations. Additionally, the new solver efficiently leverages the parallelism of CPU-GPU platforms. Furthermore, it is integrated in the Lyapack library to facilitate its use. The new codes are evaluated on the solution of several benchmarks, exposing signifficant runtime reductions with respect to the original CPU version in Lyapack.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 14-13 ppn:870173030