Preconditioned Eigensolver LOBPCG in hypre and PETSc

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 635-642

  Lashuk, Ilya ^a   Argentati, Merico ^a   Ovtchinnikov, Evgueni ^a   Knyazev, Andrew ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONJUGATE GRADIENT METHOD; EIGENVALUES AND EIGENFUNCTIONS;

EIGENSOLVERS; HIGH QUALITY; MULTIGRID PRECONDITIONING; PARALLEL COMPUTER; PRECONDITIONED CONJUGATE GRADIENT; SYMMETRIC EIGENVALUE PROBLEMS;

DOMAIN DECOMPOSITION METHODS;

EID: 34548486088     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_79     Document Type: Article

References (7)

1. P. Arbenz, U. L. Hetmaniuk, R. B. Lehoucq, and R. S. Tuminaro, A comparison of eigensolvers for large-scale 3D modal analysis using AMGpreconditioned iterative methods, Internat. J. Numer. Methods Engrg., 64 (2005), pp. 204-236.
2. S. Balay, K. Buschelman, V. Eijkhout, W. D. Gropp, D. Kaushik, M. G. Knepley, L. C. McInnes, B. F. Smith, and H. Zhang, PETSc users manual, Tech. Rep. ANL-95/11-Revision 2.1.5, Argonne National Laboratory, 2004.
3. R. D. Falgout, J. E. Jones, and U. M. Yang, Pursuing scalability for hypre's conceptual interfaces, ACM Trans. Math. Software, 31 (2005), pp. 326-350.
4. M. A. Heroux, R. A. Bartlett, V. E. Howle, R. J. Hoekstra, J. J. Hu, T. G. Kolda, R. B. Lehoucq, K. R. Long, R. P. Pawlowski, E. T. Phipps, A. G. Salinger, H. K. Thornquist, R. S. Tuminaro, J. M. Willenbring, A. Williams, and K. S. Stanley, An overview of the Trilinos project, ACM Trans. Math. Software, 31 (2005), pp. 397-423.
5. A. V. Knyazev, Preconditioned Eigensolvers: practical algorithms, SIAM, Philadelphia, 2000, pp. 352-368.
6. A. V. Knyazev, Toward the optimal preconditioned Eigensolver: Locally optimal block preconditioned conjugate gradient method, SIAMJ. Sci. Comput., 23 (2001), pp. 517-541.
7. A. V. Knyazev and M. E. Argentati, Implementation of a preconditioned Eigensolver using Hypre, Tech. Rep. UCD-CCM 220, Center for Computational Mathematics, University of Colorado at Denver, April 2005.