This title appears in the Scientific Report : 2012 

Solving dense generalized eigenproblems on multi-threaded architectures
Aliaga, J.I.
Bientinesi, P. / Davidovic, D. / Di Napoli, E. / Igual, F.D. / Quintana-Orti­, E.S.
Jülich Supercomputing Center; JSC
Applied mathematics and computation, 218 (2012) S. 11279 - 11289
New York, NY Elsevier 2012
11279 - 11289
10.1016/j.amc.2012.05.020
Journal Article
Computational Science and Mathematical Methods
Scientific Computing
Applied Mathematics and Computation 218
J
Please use the identifier: http://dx.doi.org/10.1016/j.amc.2012.05.020 in citations.
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.