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Volumn 19, Issue 2, 1998, Pages 516-529

Multigrid method for ill-conditioned symmetric toeplitz systems

Author keywords

Multigrid method; Toeplitz matrices

Indexed keywords


EID: 0001234212     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827595293831     Document Type: Article
Times cited : (90)

References (13)
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  • 2
    • 84966255975 scopus 로고
    • Convergence estimates for multigrid algorithms without regularity assumptions
    • J. BRAMBLE, J. PASCIAK, J. WANG, AND J. XU, Convergence estimates for multigrid algorithms without regularity assumptions, Math. Comput., 57 (1991), pp. 23-45.
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    • Bramble, J.1    Pasciak, J.2    Wang, J.3    Xu, J.4
  • 4
    • 0001090278 scopus 로고
    • Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions
    • R. CHAN, Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions, IMA J. Numer. Anal., 11 (1991), pp. 333-345.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 333-345
    • Chan, R.1
  • 5
    • 0001589542 scopus 로고
    • Fast Toeplitz solvers based on band-Toeplitz preconditioner
    • R. CHAN AND P. TANG, Fast Toeplitz solvers based on band-Toeplitz preconditioner, SIAM J. Sci. Comput., 15 (1994), 164-171.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 164-171
    • Chan, R.1    Tang, P.2
  • 6
    • 0001646777 scopus 로고
    • Toeplitz equations by conjugate gradients with circulant preconditioner
    • R. CHAN AND G. STRANG, Toeplitz equations by conjugate gradients with circulant preconditioner, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 104-119.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10 , pp. 104-119
    • Chan, R.1    Strang, G.2
  • 7
    • 0000853646 scopus 로고
    • An optimal circulant preconditioner for Toeplitz systems
    • T. CHAN, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 766-771.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 766-771
    • Chan, T.1
  • 8
    • 51249172268 scopus 로고
    • Multigrid methods for Toeplitz matrices
    • G. FIORENTINO AND S. SERRA, Multigrid methods for Toeplitz matrices, Calcolo, 28 (1991), pp. 283-305.
    • (1991) Calcolo , vol.28 , pp. 283-305
    • Fiorentino, G.1    Serra, S.2
  • 9
    • 0000438265 scopus 로고    scopus 로고
    • Multigrid methods for symmetric positive definite block Toeplitz matrices with nonnegative generating functions
    • G. FIORENTINO AND S. SERRA, Multigrid methods for symmetric positive definite block Toeplitz matrices with nonnegative generating functions, SIAM J. Sci. Comput., 17 (1996), pp. 1068-1081.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 1068-1081
    • Fiorentino, G.1    Serra, S.2
  • 12
    • 0001885411 scopus 로고
    • Algebraic multigrid
    • S. McCormick, ed., SIAM, Philadelphia, PA
    • J. RUGE AND K. STUBEN, Algebraic multigrid, in Multigrid Methods, S. McCormick, ed., SIAM, Philadelphia, PA, 1987.
    • (1987) Multigrid Methods
    • Ruge, J.1    Stuben, K.2
  • 13
    • 0022694911 scopus 로고
    • A proposal for Toeplitz matrix calculations
    • G. STRANG, A proposal for Toeplitz matrix calculations, Stud. Appl. Math., 74 (1986), pp. 171-176.
    • (1986) Stud. Appl. Math. , vol.74 , pp. 171-176
    • Strang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.