A parallel block Lanczos algorithm and its implementation for the evaluation of some eigenvalues of large sparse symmetric matrices on multicomputers

• Autorzy: Mario Rosario Guarracino , Francesca Perla , Paolo Zanetti
• Języki publikacji: EN

Abstrakty

EN

In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC performance on a cluster of workstations with test matrices from Matrix Market and Higham's collections. A comparison with a PARPACK routine is also detailed. Finally, parallel performance is evaluated on random matrices, using standard parameters.

Słowa kluczowe

EN

paralleleigensolver; cluster architecture; symmetric block Lanczos algorithm; sparse matrices

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2006
• Tom: 16
• Numer: 2
• Strony: 241-249

Daty

wydano

2006

otrzymano

2005-04-13

poprawiono

2005-10-16

Twórcy

autor

Mario Rosario Guarracino

• Institute for High Performance Computing and Networking - ICAR-CNR, Via P. Castellino, 111-80131 Naples, Italy

autor

Francesca Perla

• University of Naples Parthenope, Via Medina, 40-80133 Naples, Italy

autor

Paolo Zanetti

• University of Naples Parthenope, Via Medina, 40-80133 Naples, Italy

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