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Volumn 19, Issue 3, 1999, Pages 357-373

Fast iterative methods for symmetric sinc-Galerkin systems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONJUGATE GRADIENT METHOD; NUMBER THEORY; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0033245816     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.3.357     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0003090115 scopus 로고
    • Superfast solution of real positive definite Toeplitz systems
    • AMMAR, G. & GRAGG, W. 1988 Superfast solution of real positive definite Toeplitz systems. SIAM J. Matrix Appl. 9, 61-76.
    • (1988) SIAM J. Matrix Appl. , vol.9 , pp. 61-76
    • Ammar, G.1    Gragg, W.2
  • 3
    • 0001804648 scopus 로고
    • Solving elliptic problems on regions partitioned into substructures
    • (G. Birkhoff and A. Schoenstadt, eds). New York: Academic
    • BJORSTAD, P. & WIDLUND, O. 1984 Solving elliptic problems on regions partitioned into substructures. Elliptic Problem Solvers III (G. Birkhoff and A. Schoenstadt, eds). New York: Academic.
    • (1984) Elliptic Problem Solvers III
    • Bjorstad, P.1    Widlund, O.2
  • 4
    • 0001609405 scopus 로고
    • Fast iterative solvers for Toeplitz-plus-band systems
    • CHAN, R. & NG, M. 1993 Fast iterative solvers for Toeplitz-plus-band systems. SIAM J. Sci. Comput. 14, 1013-1019.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1013-1019
    • Chan, R.1    Ng, M.2
  • 5
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for solving Toeplitz systems
    • CHAN, R. & NG, M. 1996 Conjugate gradient methods for solving Toeplitz systems. SIAM Rev. 38, 427-482.
    • (1996) SIAM Rev. , vol.38 , pp. 427-482
    • Chan, R.1    Ng, M.2
  • 6
    • 0000853646 scopus 로고
    • An optimal circulant preconditioner for Toeplitz systems
    • CHAN, T. 1988 An optimal circulant preconditioner for Toeplitz systems. SIAM J. Sci. Stat. Comput. 9, 766-771.
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 766-771
    • Chan, T.1
  • 7
    • 0001249888 scopus 로고
    • Block preconditioning for the conjugate gradient method
    • CONCUS, P., GOLUB, G., & MEURANT, G. 1985 Block preconditioning for the conjugate gradient method. SIAM J. Sci. Stat. Comput. 6, 220-252.
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 220-252
    • Concus, P.1    Golub, G.2    Meurant, G.3
  • 8
    • 0004236492 scopus 로고
    • Baltimore, MD: The Johns Hopkins University Press
    • GOLUB, G. & VAN LOAN, C. 1989 Matrix Computations. Baltimore, MD: The Johns Hopkins University Press.
    • (1989) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 9
    • 0000665794 scopus 로고
    • Displacement structure: Theory and applications
    • KAILATH, T. & SAYED, A. 1995 Displacement structure: theory and applications. SIAM Rev. 37, 297-386.
    • (1995) SIAM Rev. , vol.37 , pp. 297-386
    • Kailath, T.1    Sayed, A.2
  • 10
    • 33747441485 scopus 로고
    • The Wiener RMS (root mean square) error criterion in filter design and prediction
    • LEVINSON, N. 1946 The Wiener RMS (root mean square) error criterion in filter design and prediction. J. Math. Phys. 25, 261-278.
    • (1946) J. Math. Phys. , vol.25 , pp. 261-278
    • Levinson, N.1
  • 11
    • 84966245108 scopus 로고
    • Symmetrization of the sinc-Galerkin method for boundary value problems
    • LUND, J. 1986 Symmetrization of the sinc-Galerkin method for boundary value problems. Math. Comput. 47, 571-588.
    • (1986) Math. Comput. , vol.47 , pp. 571-588
    • Lund, J.1
  • 13
    • 0009147296 scopus 로고
    • Symmetrization of the sinc-Galerkin method with block techniques for elliptic equations
    • LUND, J., BOWERS, K., & MCARTHUR, K. 1989 Symmetrization of the sinc-Galerkin method with block techniques for elliptic equations. IMA J. Numer. Anal. 9, 29-46.
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 29-46
    • Lund, J.1    Bowers, K.2    McArthur, K.3
  • 14
    • 0000140399 scopus 로고
    • Numerical methods based on Whittaker cardinal, sinc functions
    • STENGER, F. 1981 Numerical methods based on Whittaker cardinal, sinc functions. SIAM Rev. 23, 85-109.
    • (1981) SIAM Rev. , vol.23 , pp. 85-109
    • Stenger, F.1
  • 15
    • 0022694911 scopus 로고
    • A proposal for Toeplitz matrix calculations
    • STRANG, G. 1986 A proposal for Toeplitz matrix calculations. Stud. Appl. Math. 74, 171-176.
    • (1986) Stud. Appl. Math. , vol.74 , pp. 171-176
    • Strang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.