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Volumn 42, Issue 3, 2002, Pages 541-560

Matrix multilevel methods and preconditioning

Author keywords

Algebraic multigrid; Elliptic pde; Iterative methods; Preconditioning

Indexed keywords


EID: 0042234337     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022073630618     Document Type: Article
Times cited : (4)

References (19)
  • 1
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • J. Bramble, J. Pasciak, and J. Xu, Parallel multilevel preconditioners, Math. Comp., 55 (1990), pp. 1-22.
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.1    Pasciak, J.2    Xu, J.3
  • 2
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary value problems
    • A. Brandt, Multi-level adaptive solutions to boundary value problems, Math. Comp., 31 (1977), pp. 333-390.
    • (1977) Math. Comp. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 4
    • 0001234212 scopus 로고    scopus 로고
    • Multigrid method for ill-conditioned symmetric Toeplitz systems
    • R. H. Chan, Q. S. Chang, and H. W. Sun, Multigrid method for ill-conditioned symmetric Toeplitz systems, SIAM J. Sci. Comput., 19 (1998), pp. 516-529.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 516-529
    • Chan, R.H.1    Chang, Q.S.2    Sun, H.W.3
  • 5
    • 21844481298 scopus 로고
    • Minimizing the condition number of a positive definite matrix by completion
    • L. Elsner, C. He, and V. Mehrmann, Minimizing the condition number of a positive definite matrix by completion, Numer. Math., 69 (1994), pp. 17-23.
    • (1994) Numer. Math. , vol.69 , pp. 17-23
    • Elsner, L.1    He, C.2    Mehrmann, V.3
  • 6
    • 51249172268 scopus 로고
    • Multigrid methods for Toeplitz matrices
    • G. Fiorentino and S. Serra, Multigrid methods for Toeplitz matrices, Calcolo, 28 (1992), pp. 283-305.
    • (1992) Calcolo , vol.28 , pp. 283-305
    • Fiorentino, G.1    Serra, S.2
  • 8
    • 0001610807 scopus 로고
    • Multilevel algorithms considered as iterative methods on semidefinite systems
    • M. Griebel, Multilevel algorithms considered as iterative methods on semidefinite systems, SIAM J. Sci. Comput., 15 (1994), pp. 547-565.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 547-565
    • Griebel, M.1
  • 10
    • 21844511143 scopus 로고
    • On the abstract theory of additive and multiplicative Schwarz algorithms
    • M. Griebel and P. Oswald, On the abstract theory of additive and multiplicative Schwarz algorithms, Numer. Math., 70 (1995), pp. 163-180.
    • (1995) Numer. Math. , vol.70 , pp. 163-180
    • Griebel, M.1    Oswald, P.2
  • 11
    • 0021451206 scopus 로고
    • Analysis of a multigrid method as an iterative technique for solving linear systems
    • A. Greenbaum, Analysis of a multigrid method as an iterative technique for solving linear systems, SIAM J. Numer. Anal., 21 (1984), pp. 473-485.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 473-485
    • Greenbaum, A.1
  • 17
    • 0001885411 scopus 로고
    • Algebraic multigrid
    • S. F. McCormick, ed., SIAM, Philadelphia, PA
    • J. W. Ruge and K. Stüben, Algebraic multigrid, in Multigrid Methods, S. F. McCormick, ed., SIAM, Philadelphia, PA, 1987, pp. 73-130.
    • (1987) Multigrid Methods , pp. 73-130
    • Ruge, J.W.1    Stüben, K.2
  • 18
    • 84971922635 scopus 로고
    • Old and new convergence proofs for multigrid methods
    • H. Yserentant, Old and new convergence proofs for multigrid methods, Acta Numerica, 2 (1993), pp. 285-326.
    • (1993) Acta Numerica , vol.2 , pp. 285-326
    • Yserentant, H.1
  • 19
    • 34249840453 scopus 로고
    • Multilevel Schwarz methods
    • X. Zhang, Multilevel Schwarz methods, Numer. Math., 63 (1992), pp. 521-539.
    • (1992) Numer. Math. , vol.63 , pp. 521-539
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.