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Solving Dense Generalized Eigenproblems on Multi-threaded Architectures

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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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
DOI: 10.1016/j.amc.2012.05.020

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