메뉴 건너뛰기




Volumn 15, Issue 1, 2001, Pages 56-74

Parallel implementation and practical use of sparse approximate inverse preconditioners with a priori sparsity patterns

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; INVERSE PROBLEMS; ITERATIVE METHODS; MATRIX ALGEBRA; POLES AND ZEROS;

EID: 0035281285     PISSN: 10943420     EISSN: None     Source Type: Journal    
DOI: 10.1177/109434200101500106     Document Type: Article
Times cited : (82)

References (38)
  • 1
    • 0043234061 scopus 로고    scopus 로고
    • Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics
    • Alléon, G., Benzi, M., and Giraud, L. 1997. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Numerical Algorithms 16:1-15.
    • (1997) Numerical Algorithms , vol.16 , pp. 1-15
    • Alléon, G.1    Benzi, M.2    Giraud, L.3
  • 4
    • 0021599857 scopus 로고
    • Parallel algorithms for the solution of certain large sparse linear systems
    • Benson, M. W., Krettmann, J., and Wright, M. 1984. Parallel algorithms for the solution of certain large sparse linear systems. Intl. J. Comput. Math. 16:245-260.
    • (1984) Intl. J. Comput. Math. , vol.16 , pp. 245-260
    • Benson, M.W.1    Krettmann, J.2    Wright, M.3
  • 5
    • 0034889465 scopus 로고    scopus 로고
    • Robust approximate inverse preconditioning for the conjugate gradient method
    • Benzi, M., Cullum, J. K., and Tuma, M. 2000. Robust approximate inverse preconditioning for the conjugate gradient method. SIAM J. Sci. Comput. 22:1318-1332.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 1318-1332
    • Benzi, M.1    Cullum, J.K.2    Tuma, M.3
  • 7
    • 0034359574 scopus 로고    scopus 로고
    • Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism
    • Carpentieri, B., Duff, I. S., and Giraud, L. 2000. Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Num. Lin. Alg. Appl. 7:667-685.
    • (2000) Num. Lin. Alg. Appl. , vol.7 , pp. 667-685
    • Carpentieri, B.1    Duff, I.S.2    Giraud, L.3
  • 8
    • 0032228601 scopus 로고    scopus 로고
    • On a class of preconditioning methods for dense linear systems from boundary elements
    • Chen, K. 1998. On a class of preconditioning methods for dense linear systems from boundary elements. SIAM J. Sci. Comput. 20:684-698.
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 684-698
    • Chen, K.1
  • 9
    • 0033678265 scopus 로고    scopus 로고
    • A priori sparsity patterns for parallel sparse approximate inverse preconditioned
    • Chow, E. 2000. A priori sparsity patterns for parallel sparse approximate inverse preconditioned. SIAM J. Sci. Comput. 21:1804-1822.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1804-1822
    • Chow, E.1
  • 10
    • 0001630026 scopus 로고    scopus 로고
    • Approximate inverse preconditioners via sparse-sparse iterations
    • Chow, E., and Saad, Y. 1998. Approximate inverse preconditioners via sparse-sparse iterations. SIAM J. Sci. Comput. 19:995-1023.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 995-1023
    • Chow, E.1    Saad, Y.2
  • 12
    • 0002457199 scopus 로고
    • Approximate inverse preconditioning for sparse linear systems
    • Cosgrove, J.D.F., Díaz, J. C., and Griewank, A. 1992. Approximate inverse preconditioning for sparse linear systems. Intl. J. Comput. Math. 44:91-110.
    • (1992) Intl. J. Comput. Math. , vol.44 , pp. 91-110
    • Cosgrove, J.D.F.1    Díaz, J.C.2    Griewank, A.3
  • 14
    • 84947910416 scopus 로고    scopus 로고
    • Parallel implementation of a sparse approximate inverse preconditioner
    • Santa Barbara, CA, 1996, eds. A. Ferreira, J. Rolim, Y. Saad, and T. Yang, Berlin: Springer-Verlag
    • Deshpande, V., Grote, M. J., Messmer, P., and Sawyer, W. 1996. Parallel implementation of a sparse approximate inverse preconditioner. In Parallel Algorithms for Irregularly Structured Problems (Irregular '96), Santa Barbara, CA, 1996, eds. A. Ferreira, J. Rolim, Y. Saad, and T. Yang, vol. 3, 63-74. Berlin: Springer-Verlag.
    • (1996) Parallel Algorithms for Irregularly Structured Problems (Irregular '96) , vol.3 , pp. 63-74
    • Deshpande, V.1    Grote, M.J.2    Messmer, P.3    Sawyer, W.4
  • 20
    • 0005271318 scopus 로고    scopus 로고
    • Toward realistic performance bounds for implicit CFD codes
    • Halifax, Nova Scotia
    • Gropp, W., Kaushik, D., Keyes, D., and Smith, B. 1999. Toward realistic performance bounds for implicit CFD codes. In Proceedings of Parallel CFD99, Halifax, Nova Scotia.
    • (1999) Proceedings of Parallel CFD99
    • Gropp, W.1    Kaushik, D.2    Keyes, D.3    Smith, B.4
  • 21
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote, M., and Huckle, T. 1997. Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput. 18:838-853.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 838-853
    • Grote, M.1    Huckle, T.2
  • 22
    • 0000919240 scopus 로고
    • Parallel preconditioning and approximate inverses on the Connection Machine
    • eds. R. F. Sincovec, D. E. Keyes, L. R. Petzold, and D. A. Reed, Philadelphia: SIAM
    • Grote, M., and Simon, H. D. 1993. Parallel preconditioning and approximate inverses on the Connection Machine. In Parallel Processing for Scientific Computing, eds. R. F. Sincovec, D. E. Keyes, L. R. Petzold, and D. A. Reed, vol. 2, 519-523. Philadelphia: SIAM.
    • (1993) Parallel Processing for Scientific Computing , vol.2 , pp. 519-523
    • Grote, M.1    Simon, H.D.2
  • 25
    • 21444435820 scopus 로고    scopus 로고
    • PVM-implementation of sparse approximate inverse preconditioners for solving large sparse linear equations
    • New York: Springer-Verlag
    • Huckle, T. 1996b. PVM-implementation of sparse approximate inverse preconditioners for solving large sparse linear equations. In Lecture Notes in Comput. Sci., vol. 1156, 166-173. New York: Springer-Verlag.
    • (1996) Lecture Notes in Comput. Sci. , vol.1156 , pp. 166-173
    • Huckle, T.1
  • 28
    • 77954518302 scopus 로고    scopus 로고
    • Multilevel algorithms for multi-constraint graph partitioning
    • Orlando, FL
    • Karypis, G., and Kumar, V. 1998. Multilevel algorithms for multi-constraint graph partitioning. In Supercomputing 98, Orlando, FL.
    • (1998) Supercomputing 98
    • Karypis, G.1    Kumar, V.2
  • 29
  • 30
    • 0000950308 scopus 로고
    • Explicit preconditioning of systems of linear algebraic equations with dense matrices
    • Kolotilina, L. Y. 1988. Explicit preconditioning of systems of linear algebraic equations with dense matrices. J. Soviet Math. 43:2566-2573.
    • (1988) J. Soviet Math. , vol.43 , pp. 2566-2573
    • Kolotilina, L.Y.1
  • 31
    • 0002959445 scopus 로고
    • Factorized sparse approximate inverse (FSAI) preconditionings for solving 3D FE systems on massively parallel computers: II. Iterative construction of {FSAI} preconditioners
    • Brussels, Belgium
    • Kolotilina, L. Y., Nikishin, A. A., and Yeremin, A. Y. 1992. Factorized sparse approximate inverse (FSAI) preconditionings for solving 3D FE systems on massively parallel computers: II. Iterative construction of {FSAI} preconditioners. In Proceedings IMACS Intl. Symp. Iterative Methods in Linear Algebra, Brussels, Belgium.
    • (1992) Proceedings IMACS Intl. Symp. Iterative Methods in Linear Algebra
    • Kolotilina, L.Y.1    Nikishin, A.A.2    Yeremin, A.Y.3
  • 32
    • 0033269772 scopus 로고    scopus 로고
    • Factorized sparse approximate inverse preconditionings: IV. Simple approaches to rising efficiency
    • Kolotilina, L. Y., Nikishin, A. A., and Yeremin, A. Y. 1999. Factorized sparse approximate inverse preconditionings: IV. Simple approaches to rising efficiency. Num. Lin. Alg. Appl. 6:515-531.
    • (1999) Num. Lin. Alg. Appl. , vol.6 , pp. 515-531
    • Kolotilina, L.Y.1    Nikishin, A.A.2    Yeremin, A.Y.3
  • 33
    • 21144474663 scopus 로고
    • Factorized sparse approximate inverse preconditionings: I. Theory
    • Kolotilina, L. Y., and Yeremin, A. Y. 1993. Factorized sparse approximate inverse preconditionings: I. Theory. SIAM J. Matrix Anal. Appl. 14:45-58.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , pp. 45-58
    • Kolotilina, L.Y.1    Yeremin, A.Y.2
  • 34
    • 0343427345 scopus 로고
    • Beyond message passing: A case for one-sided communication in MPI
    • University of Notre Dame, IN
    • Nieplocha, J., Littlefield, R., and Rosing, M. 1995. Beyond message passing: A case for one-sided communication in MPI. In MPI Developers Conference 1995, University of Notre Dame, IN.
    • (1995) MPI Developers Conference 1995
    • Nieplocha, J.1    Littlefield, R.2    Rosing, M.3
  • 36
    • 0034144756 scopus 로고    scopus 로고
    • Sparse approximate inverse smoother for multigrid
    • Tang, W.-P., and Wan, W. L. 2000. Sparse approximate inverse smoother for multigrid. SIAM J. Matrix Anal. Appl. 21:1236-1252.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 1236-1252
    • Tang, W.-P.1    Wan, W.L.2
  • 37
  • 38
    • 0000722586 scopus 로고
    • Preconditioning for boundary integral equations
    • Vavasis, S. A. 1992. Preconditioning for boundary integral equations. SIAM J. Matrix Anal. Appl. 13:905-925.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 905-925
    • Vavasis, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.