Solving dense generalized eigenproblems on multi-threaded architectures

Aliaga, J.I.; Quintana-Orti­, E.S.; Davidovic, D.; Igual, F.D.; Bientinesi, P.; Di Napoli, E.

doi:10.1016/j.amc.2012.05.020

Journal Article

Solving dense generalized eigenproblems on multi-threaded architectures

Aliaga, J. I. ; Bientinesi, P. ; Davidovic, D. ; Di Napoli, E.FZJ* ; Igual, F. D. ; Quintana-Orti, E. S.

2012
Elsevier New York, NY

Applied mathematics and computation 218, 11279 - 11289 (2012) [10.1016/j.amc.2012.05.020]

This record in other databases:

Please use a persistent id in citations: doi:10.1016/j.amc.2012.05.020

Abstract: We compare two approaches to compute a fraction of the spectrum of dense symmetric definite generalized eigenproblems: one is based on the reduction to tridiagonal form, and the other on the Krylov-subspace iteration. Two large-scale applications, arising in molecular dynamics and material science, are employed to investigate the contributions of the application, architecture, and parallelism of the method to the performance of the solvers. The experimental results on a state-of-the-art 8-core platform, equipped with a graphics processing unit (GPU), reveal that in realistic applications, iterative Krylov-subspace methods can be a competitive approach also for the solution of dense problems. (C) 2012 Elsevier Inc. All rights reserved.

Keyword(s): J ; Eigenvalues (auto) ; Tridiagonal form (auto) ; Krylov-subspace iteration (auto) ; Multi-core architectures (auto) ; Graphics processors (auto)