Aliaga, José Ignacio; Bientinesi, Paolo; Davidović, Davor; Di Napoli, Eduardo; Igual Peña, Francisco D.; Quintana-Ortí, Enrique S. (2012) Solving Dense Generalized Eigenproblems on Multi-threaded Architectures. Applied Mathematics and Computation, 218 (22). pp. 11279-11289. ISSN 0096-3003
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | eigenproblem; dense symmetric; tridiagonal; Krylov; molecular dynamics; DFT; GPU |
| Subjects: | NATURAL SCIENCES > Mathematics > Algebra NATURAL SCIENCES > Mathematics > Numerical Mathematics TECHNICAL SCIENCES > Computing > Data Processing |
| Divisions: | Center for Informatics and Computing |
| Depositing User: | Davor Davidović |
| Date Deposited: | 16 Jul 2012 08:41 |
| URI: | http://fulir.irb.hr/id/eprint/256 |
| DOI: | 10.1016/j.amc.2012.05.020 |
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