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Volumn 175, Issue 2, 2006, Pages 1694-1715

Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; GRADIENT METHODS; INVERSE PROBLEMS; MATRIX ALGEBRA; OPTIMIZATION; PARALLEL ALGORITHMS;

EID: 33645869837     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.09.015     Document Type: Article
Times cited : (14)

References (28)
  • 2
    • 24944533500 scopus 로고    scopus 로고
    • A comparison of eigensolvers for large-scale 3d modal analysis using AMG-preconditioners iterative methods
    • Arbenz P., Hetmaniuk U., Lehoucq R.B., and Tuminaro R. A comparison of eigensolvers for large-scale 3d modal analysis using AMG-preconditioners iterative methods. Internat. J. Numer. Meth. Engrg. 64 2 (2005) 204-236
    • (2005) Internat. J. Numer. Meth. Engrg. , vol.64 , Issue.2 , pp. 204-236
    • Arbenz, P.1    Hetmaniuk, U.2    Lehoucq, R.B.3    Tuminaro, R.4
  • 3
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • Benzi M., Meyer C.D., and Tůma M. A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM J. Sci. Comput. 17 5 (1996) 1135-1149
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.5 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.D.2    Tůma, M.3
  • 4
    • 0033149240 scopus 로고    scopus 로고
    • A comparative study of sparse approximate inverse preconditioners
    • Benzi M., and Tůma M. A comparative study of sparse approximate inverse preconditioners. Appl. Numer. Math. 30 (1999) 305-340
    • (1999) Appl. Numer. Math. , vol.30 , pp. 305-340
    • Benzi, M.1    Tůma, M.2
  • 5
    • 0031494214 scopus 로고    scopus 로고
    • Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem
    • Bergamaschi L., Gambolati G., and Pini G. Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem. Numer. Linear Alg. Appl. 4 2 (1997) 69-84
    • (1997) Numer. Linear Alg. Appl. , vol.4 , Issue.2 , pp. 69-84
    • Bergamaschi, L.1    Gambolati, G.2    Pini, G.3
  • 6
    • 24144480680 scopus 로고    scopus 로고
    • Parallel solution of sparse eigenproblems by simultaneous Rayleigh quotient optimization with FSAI preconditioning
    • Joubert G.R., and Nagel W. (Eds), Elsevier, North-Holland
    • Bergamaschi L., Martínez A., and Pini G. Parallel solution of sparse eigenproblems by simultaneous Rayleigh quotient optimization with FSAI preconditioning. In: Joubert G.R., and Nagel W. (Eds). Parallel Computing. Software Technology, Algorithms, Architectures & Applications (2004), Elsevier, North-Holland 275-282
    • (2004) Parallel Computing. Software Technology, Algorithms, Architectures & Applications , pp. 275-282
    • Bergamaschi, L.1    Martínez, A.2    Pini, G.3
  • 7
    • 0034385436 scopus 로고    scopus 로고
    • Approximate inverse preconditioning in the parallel solution of sparse eigenproblems
    • Bergamaschi L., Pini G., and Sartoretto F. Approximate inverse preconditioning in the parallel solution of sparse eigenproblems. Numer. Linear Alg. Appl. 7 3 (2000) 99-116
    • (2000) Numer. Linear Alg. Appl. , vol.7 , Issue.3 , pp. 99-116
    • Bergamaschi, L.1    Pini, G.2    Sartoretto, F.3
  • 8
    • 0038008333 scopus 로고    scopus 로고
    • Computational experience with sequential and parallel preconditioned Jacobi Davidson for large sparse symmetric matrices
    • Bergamaschi L., Pini G., and Sartoretto F. Computational experience with sequential and parallel preconditioned Jacobi Davidson for large sparse symmetric matrices. J. Comput. Phys. 188 1 (2003) 318-331
    • (2003) J. Comput. Phys. , vol.188 , Issue.1 , pp. 318-331
    • Bergamaschi, L.1    Pini, G.2    Sartoretto, F.3
  • 9
    • 0037175265 scopus 로고    scopus 로고
    • Numerical comparison of iterative eigensolvers for large sparse symmetric matrices
    • Bergamaschi L., and Putti M. Numerical comparison of iterative eigensolvers for large sparse symmetric matrices. Comp. Meth. Appl. Mech. Engrg. 191 45 (2002) 5233-5247
    • (2002) Comp. Meth. Appl. Mech. Engrg. , vol.191 , Issue.45 , pp. 5233-5247
    • Bergamaschi, L.1    Putti, M.2
  • 10
    • 33645881536 scopus 로고    scopus 로고
    • L. Bergamaschi, M. Putti, Efficient parallelization of preconditioned conjugate gradient schemes for matrices arising from discretizations of diffusion equations, in: Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, March, 1999 (CD-ROM).
  • 11
    • 0027446017 scopus 로고
    • On time integration of groundwater flow equations by spectral methods
    • Gambolati G. On time integration of groundwater flow equations by spectral methods. Water Resour. Res. 29 4 (1993) 1257-1267
    • (1993) Water Resour. Res. , vol.29 , Issue.4 , pp. 1257-1267
    • Gambolati, G.1
  • 12
    • 0032136117 scopus 로고    scopus 로고
    • Efficient user-space protocol implementations with QoS guarantees using real-time upcalls
    • Gopalakrishnan R., and Parulkar G.M. Efficient user-space protocol implementations with QoS guarantees using real-time upcalls. IEEE/ACM Trans. Networking 6 4 (1998) 374-388
    • (1998) IEEE/ACM Trans. Networking , vol.6 , Issue.4 , pp. 374-388
    • Gopalakrishnan, R.1    Parulkar, G.M.2
  • 13
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote M.J., and Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput. 18 3 (1997) 838-853
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.3 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2
  • 14
    • 0035678671 scopus 로고    scopus 로고
    • A scalable parallel algorithm for incomplete factor preconditioning
    • Hysom D., and Pothen A. A scalable parallel algorithm for incomplete factor preconditioning. SIAM J. Sci. Stat. Comput. 22 6 (2001) 2194-2215
    • (2001) SIAM J. Sci. Stat. Comput. , vol.22 , Issue.6 , pp. 2194-2215
    • Hysom, D.1    Pothen, A.2
  • 15
    • 84985376638 scopus 로고
    • New convergence results and preconditioning strategies for the conjugate gradient method
    • Kaporin I.E. New convergence results and preconditioning strategies for the conjugate gradient method. Numer. Linear Alg. Appl. 1 (1994) 179-210
    • (1994) Numer. Linear Alg. Appl. , vol.1 , pp. 179-210
    • Kaporin, I.E.1
  • 16
    • 0028483153 scopus 로고
    • The preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problem
    • Knyazev A.V., and Skorokhodov A.L. The preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problem. SIAM J. Numer. Anal. 31 4 (1994) 1226-1239
    • (1994) SIAM J. Numer. Anal. , vol.31 , Issue.4 , pp. 1226-1239
    • Knyazev, A.V.1    Skorokhodov, A.L.2
  • 17
    • 0033269772 scopus 로고    scopus 로고
    • Factorized sparse approximate inverse preconditionings. IV. Simple approaches to rising efficiency
    • Kolotilina L.Yu., Nikishin A.A., and Yeremin A.Yu. Factorized sparse approximate inverse preconditionings. IV. Simple approaches to rising efficiency. Numer. Linear Alg. Appl. 6 (1999) 515-531
    • (1999) Numer. Linear Alg. Appl. , vol.6 , pp. 515-531
    • Kolotilina, L.Yu.1    Nikishin, A.A.2    Yeremin, A.Yu.3
  • 18
    • 21144474663 scopus 로고
    • Factorized sparse approximate inverse preconditionings. I. Theory
    • Kolotilina L.Yu., and Yeremin A.Yu. Factorized sparse approximate inverse preconditionings. I. Theory. SIAM J. Matrix Anal. Appl. 14 (1993) 45-58
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , pp. 45-58
    • Kolotilina, L.Yu.1    Yeremin, A.Yu.2
  • 19
    • 0030502142 scopus 로고    scopus 로고
    • Deflation techniques for an implicit restarted Arnoldi iteration
    • Lehoucq R.B., and Sorensen D.C. Deflation techniques for an implicit restarted Arnoldi iteration. SIAM J. Matrix Anal. Appl. 17 4 (1996) 789-821
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.4 , pp. 789-821
    • Lehoucq, R.B.1    Sorensen, D.C.2
  • 20
    • 33645863622 scopus 로고    scopus 로고
    • K.J. Maschhoff, D.C. Sorensen, A portable implementation of ARPACK for distributed memory parallel architectures, in: Proceedings of the Copper Mountain Conference on Iterative Methods, vol. 1, April 9-13 1996.
  • 21
    • 0035400544 scopus 로고    scopus 로고
    • Parallel incomplete factorizations with pseudo-overlapped subdomains
    • monga Made M., and van der Vorst H.A. Parallel incomplete factorizations with pseudo-overlapped subdomains. Parallel Comput. 27 8 (2001) 989-1008
    • (2001) Parallel Comput. , vol.27 , Issue.8 , pp. 989-1008
    • monga Made, M.1    van der Vorst, H.A.2
  • 22
    • 0036101413 scopus 로고    scopus 로고
    • Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem
    • Notay Y. Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem. Numer. Linear Algebra Appl. 9 1 (2002) 21-44
    • (2002) Numer. Linear Algebra Appl. , vol.9 , Issue.1 , pp. 21-44
    • Notay, Y.1
  • 23
    • 72449139170 scopus 로고
    • Computational variants of the Lanczos method for the eigenproblem
    • Paige C.C. Computational variants of the Lanczos method for the eigenproblem. J. Inst. Math. Appl. 10 (1972) 373-381
    • (1972) J. Inst. Math. Appl. , vol.10 , pp. 373-381
    • Paige, C.C.1
  • 24
    • 0026186064 scopus 로고
    • A parallel algorithm for the partial eigensolution of sparse symmetric matrices on the CRAY Y/MP
    • Pini G. A parallel algorithm for the partial eigensolution of sparse symmetric matrices on the CRAY Y/MP. Parallel Comput. 17 (1991) 553-562
    • (1991) Parallel Comput. , vol.17 , pp. 553-562
    • Pini, G.1
  • 25
    • 49149143501 scopus 로고
    • Variations of Arnoldi's method for computing eigenelements of large unsymmetric matrices
    • Saad Y. Variations of Arnoldi's method for computing eigenelements of large unsymmetric matrices. Linear Algebra Appl. 34 (1980) 269-295
    • (1980) Linear Algebra Appl. , vol.34 , pp. 269-295
    • Saad, Y.1
  • 26
    • 33645878771 scopus 로고    scopus 로고
    • Y. Saad, S. Kuznetsov, G.-C. Lo, A. Malevsky, A. Chapman. PSPARSLIB: a portable library of parallel sparse iterative solvers, in: Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing (Minneapolis, MN, 1997), (electronic), Philadelphia, PA, 1997, SIAM.
  • 27
    • 38249021401 scopus 로고
    • Accelerated simultaneous iterations for large finite element eigenproblems
    • Sartoretto F., Pini G., and Gambolati G. Accelerated simultaneous iterations for large finite element eigenproblems. J. Comput. Phys. 81 (1989) 53-69
    • (1989) J. Comput. Phys. , vol.81 , pp. 53-69
    • Sartoretto, F.1    Pini, G.2    Gambolati, G.3
  • 28
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson method for linear eigenvalue problems
    • Sleijpen G.L.G., and van der Vorst H.A. A Jacobi-Davidson method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl. 17 2 (1996) 401-425
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.2 , pp. 401-425
    • Sleijpen, G.L.G.1    van der Vorst, H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.