메뉴 건너뛰기




Volumn 7, Issue 3, 2000, Pages 99-116

Approximate inverse preconditioning in the parallel solution of sparse eigenproblems

Author keywords

Generalized eigenproblem; Parallel algorithm; Sparse approximate inverse

Indexed keywords


EID: 0034385436     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(200004/05)7:3<99::AID-NLA188>3.0.CO;2-5     Document Type: Article
Times cited : (28)

References (35)
  • 2
    • 0008514995 scopus 로고
    • The finite element method for anisotropic optical waveguides
    • Someda C, Stegeman G (eds.). Elsevier: Amsterdam
    • Zoboli M, Bassi P. The finite element method for anisotropic optical waveguides. In Anisotropic and Nonlinear Optical Waveguides, Someda C, Stegeman G (eds.). Elsevier: Amsterdam, 1992; 77-116.
    • (1992) Anisotropic and Nonlinear Optical Waveguides , pp. 77-116
    • Zoboli, M.1    Bassi, P.2
  • 3
    • 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 Resources Research 1993; 29(4):1257-1267.
    • (1993) Water Resources Research , vol.29 , Issue.4 , pp. 1257-1267
    • Gambolati, G.1
  • 6
    • 84966221080 scopus 로고
    • The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
    • Ericsson T, Ruhe A. The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Mathematics of Computation 1980; 35:1251-1268.
    • (1980) Mathematics of Computation , vol.35 , pp. 1251-1268
    • Ericsson, T.1    Ruhe, A.2
  • 7
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. Journal of Research of the National Bureau of Standards 1950; 45:255-282.
    • (1950) Journal of Research of the National Bureau of Standards , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 11
    • 0002747762 scopus 로고
    • An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices
    • Gambolati G, Pini G, Sartoretto F. An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices. Journal of Computational Physics 1988; 74:41-60.
    • (1988) Journal of Computational Physics , vol.74 , pp. 41-60
    • Gambolati, G.1    Pini, G.2    Sartoretto, F.3
  • 12
    • 38249021401 scopus 로고
    • Accelerated simultaneous iterations for large finite element eigenproblems
    • Sartoretto F, Pini G, Gambolati G. Accelerated simultaneous iterations for large finite element eigenproblems. Journal of Computational Physics 1989; 81:53-69.
    • (1989) Journal of Computational Physics , vol.81 , pp. 53-69
    • Sartoretto, F.1    Pini, G.2    Gambolati, G.3
  • 14
    • 0031494214 scopus 로고    scopus 로고
    • Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem
    • Bergamaschi L, Gambolati G, Fini G. Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem. Numerical Linear Algebra with Applications 1997; 4(2):69-84.
    • (1997) Numerical Linear Algebra with Applications , vol.4 , Issue.2 , pp. 69-84
    • Bergamaschi, L.1    Gambolati, G.2    Fini, G.3
  • 15
    • 0011885907 scopus 로고
    • Spectral analysis of large finite element problems by optimization methods
    • Bergamaschi L, Gambolati G, Pini G. Spectral analysis of large finite element problems by optimization methods. Journal of Shock and Vibration 1994; 1(6):529-540.
    • (1994) Journal of Shock and Vibration , vol.1 , Issue.6 , pp. 529-540
    • Bergamaschi, L.1    Gambolati, G.2    Pini, G.3
  • 16
    • 0012846915 scopus 로고
    • Eigenvalue problems and preconditioning
    • ISNM 96. Birkhäuser: Basel
    • Schwarz HR. Eigenvalue problems and preconditioning. In Numerical Treatment of Eigenvalue Problems, vol. 5, ISNM 96. Birkhäuser: Basel, 1991; 191-208.
    • (1991) Numerical Treatment of Eigenvalue Problems , vol.5 , pp. 191-208
    • Schwarz, H.R.1
  • 18
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote MJ, Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM Journal on Scientific Computing 1997; 18(3):838-853.
    • (1997) SIAM Journal on Scientific Computing , vol.18 , Issue.3 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2
  • 19
    • 0031261348 scopus 로고    scopus 로고
    • Approximate inverse preconditioned via sparse-sparse iterations
    • Chow E, Saad Y. Approximate inverse preconditioned via sparse-sparse iterations. SIAM Journal on Scientific Computing 1998; 18(6):1657-1675.
    • (1998) SIAM Journal on Scientific Computing , vol.18 , Issue.6 , pp. 1657-1675
    • Chow, E.1    Saad, Y.2
  • 21
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • Benzi M, Meyer CD, Tůma M. A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM Journal on Scientific Computing 1996; 17(5):1135-1149.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , Issue.5 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.D.2    Tůma, M.3
  • 22
    • 0033149240 scopus 로고    scopus 로고
    • A comparative study of sparse approximate inverse preconditioners
    • Benzi M, Tůma M. A comparative study of sparse approximate inverse preconditioners. Applied Numerical Mathematics 1999; 30:305-340.
    • (1999) Applied Numerical Mathematics , vol.30 , pp. 305-340
    • Benzi, M.1    Tůma, M.2
  • 23
    • 0000133360 scopus 로고    scopus 로고
    • A two-level parallel preconditioner based on sparse approximate inverses
    • Kincaid D, et al. (eds.) IMACS: New Brunswick, NJ
    • Benzi M, Marin J, Tůma M. A two-level parallel preconditioner based on sparse approximate inverses. In Iterative Methods in Scientific Computing, Kincaid D, et al. (eds.) IMACS: New Brunswick, NJ, 1998; 1-11.
    • (1998) Iterative Methods in Scientific Computing , pp. 1-11
    • Benzi, M.1    Marin, J.2    Tůma, M.3
  • 25
    • 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 Computing 1991; 17:553-562.
    • (1991) Parallel Computing , vol.17 , pp. 553-562
    • Pini, G.1
  • 27
    • 0442324992 scopus 로고
    • Vector and parallel codes for large sparse eigenproblems
    • Pini G, Sartoretto F. Vector and parallel codes for large sparse eigenproblems. Supercomputer 1992; 50:29-39.
    • (1992) Supercomputer , vol.50 , pp. 29-39
    • Pini, G.1    Sartoretto, F.2
  • 29
    • 0037689839 scopus 로고
    • New approaches and applications in subsurface flow modeling: 3-D finite element analysis of dewatering for an electro-nuclear plant
    • Custodio E (ed.). D. Reidel: Dordrecht, The Netherlands
    • Gambolati G, di Monaco A, Galeati G, Uliana F, Mosca P, Mascardi C. New approaches and applications in subsurface flow modeling: 3-D finite element analysis of dewatering for an electro-nuclear plant. In Groundwater Flow and Quality Modelling, Custodio E (ed.). D. Reidel: Dordrecht, The Netherlands, 1983; 717-759.
    • (1983) Groundwater Flow and Quality Modelling , pp. 717-759
    • Gambolati, G.1    Di Monaco, A.2    Galeati, G.3    Uliana, F.4    Mosca, P.5    Mascardi, C.6
  • 30
    • 0029656434 scopus 로고    scopus 로고
    • A block iterative finite element model for non-linear leaky aquifer systems
    • Gambolati G, Teatini P. A block iterative finite element model for non-linear leaky aquifer systems. Water Resources Research 1996; 32(1):199-204.
    • (1996) Water Resources Research , vol.32 , Issue.1 , pp. 199-204
    • Gambolati, G.1    Teatini, P.2
  • 35
    • 0033587522 scopus 로고    scopus 로고
    • Mixed finite elements and Newton-like linearization for the solution of Richard's equation
    • Bergamaschi L, Putti M. Mixed finite elements and Newton-like linearization for the solution of Richard's equation. International Journal for Numerical Methods in Engineering 1999; 45(8):1025-1046.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , Issue.8 , pp. 1025-1046
    • Bergamaschi, L.1    Putti, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.