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Volumn 86, Issue 1, 1997, Pages 297-310

Matrices of Sinc methods

Author keywords

Matrix; Poisson problem; Sinc methods

Indexed keywords

NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0031271646     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00163-5     Document Type: Article
Times cited : (11)

References (24)
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    • A variant of the Gohberg-Semencul formula involving circulant matrices
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    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 534-540
    • Ammar, G.1    Gader, P.2
  • 2
    • 0011604211 scopus 로고
    • Implementation and use of the generalized Schur algorithm
    • C.I. Byrnes, A. Lindquist (Eds.), North-Holland, Amsterdam
    • G.S. Ammar, W.B. Gragg, Implementation and use of the generalized Schur algorithm, in: C.I. Byrnes, A. Lindquist (Eds.), Computational and Combinatorial Methods in Systems Theory, North-Holland, Amsterdam, 1986, pp. 265-280.
    • (1986) Computational and Combinatorial Methods in Systems Theory , pp. 265-280
    • Ammar, G.S.1    Gragg, W.B.2
  • 3
    • 0001667943 scopus 로고
    • The generalized Schur algorithm for the superfast solution of Toeplitz systems
    • J. Gilewicz, M. Pindor, W. Siemaszko (Eds.), Rational Approximation and its Applications in Mathematics and Physics, Springer, Berlin
    • G.S. Ammar, W.B. Gragg, The generalized Schur algorithm for the superfast solution of Toeplitz systems, in: J. Gilewicz, M. Pindor, W. Siemaszko (Eds.), Rational Approximation and its Applications in Mathematics and Physics, Lecture Notes in Mathematics, Vol. 1237, Springer, Berlin, 1987, pp. 315-330.
    • (1987) Lecture Notes in Mathematics , vol.1237 , pp. 315-330
    • Ammar, G.S.1    Gragg, W.B.2
  • 4
    • 0003090115 scopus 로고
    • Superfast solution of real positive definite Toeplitz systems
    • G.S. Ammar, W.B. Gragg, Superfast solution of real positive definite Toeplitz systems, SIAM J. Matrix Anal. Appl. 9 (1988) 61-76.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 61-76
    • Ammar, G.S.1    Gragg, W.B.2
  • 5
    • 0000120895 scopus 로고
    • Numerical experience with a superfast real Toeplitz solver
    • G.S. Ammar, W.B. Gragg, Numerical experience with a superfast real Toeplitz solver, Linear Algebra Appl. 121 (1989) 185-206.
    • (1989) Linear Algebra Appl. , vol.121 , pp. 185-206
    • Ammar, G.S.1    Gragg, W.B.2
  • 10
    • 85033111905 scopus 로고    scopus 로고
    • A Sinc-collocation method for initial value problems
    • to appear
    • T.S. Carlson, J. Dockery, J. Lund, A Sinc-collocation method for initial value problems, Math. Comp., to appear.
    • Math. Comp.
    • Carlson, T.S.1    Dockery, J.2    Lund, J.3
  • 11
    • 84966237335 scopus 로고
    • Numerical differentiation and the solution of Vandermonde systems
    • G. Galemberti, V. Pereyra, Numerical differentiation and the solution of Vandermonde systems, Math. Comp. 24 (1970) 357-364.
    • (1970) Math. Comp. , vol.24 , pp. 357-364
    • Galemberti, G.1    Pereyra, V.2
  • 12
    • 0003384422 scopus 로고
    • Positive definite Toeplitz matrices, the Anoldi process for isometric operators, and Gaussian quadrature on the unit circle
    • E.S. Nikolaev (Ed.), Moscow University Press, Moscow
    • W.B. Gragg, Positive definite Toeplitz matrices, the Anoldi process for isometric operators, and Gaussian quadrature on the unit circle, in: E.S. Nikolaev (Ed.), Numerical Methods in Linear Algebra, Moscow University Press, Moscow, 1982, pp. 16-32.
    • (1982) Numerical Methods in Linear Algebra , pp. 16-32
    • Gragg, W.B.1
  • 13
    • 0002675246 scopus 로고
    • Algebraic methods for Toeplitz-like matrices and operators
    • Birkhäuser Verlag, Basel
    • G. Heinig, K. Rost, Algebraic methods for Toeplitz-like matrices and operators, Operator Theory, Vol. 13, Birkhäuser Verlag, Basel, 1984.
    • (1984) Operator Theory , vol.13
    • Heinig, G.1    Rost, K.2
  • 17
    • 0039877499 scopus 로고
    • Kronecker product extension of linear operators
    • F. Stenger, Kronecker product extension of linear operators, SIAM J. Numer. Anal. 5 (1964) 422-435.
    • (1964) SIAM J. Numer. Anal. , vol.5 , pp. 422-435
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  • 19
    • 84968480558 scopus 로고
    • Collocating convolutions
    • F. Stenger, Collocating convolutions, Math. Comp. 64 (1995) 211-235.
    • (1995) Math. Comp. , vol.64 , pp. 211-235
    • Stenger, F.1
  • 21
    • 84966230373 scopus 로고
    • Explicit, Nearly optimal, linear rational approximations with preassigned poles
    • F. Stenger, Explicit, Nearly optimal, linear rational approximations with preassigned poles, Math. Comp. 47 (1986) 225-252.
    • (1986) Math. Comp. , vol.47 , pp. 225-252
    • Stenger, F.1
  • 22
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    • Sinc convolution method of solution of burgers' equation
    • K. Bowers, J. Lund (Eds.), Birkhäuser, Basel
    • F. Stenger, B. Barkey, R. Vakili, Sinc convolution method of solution of burgers' equation, in: K. Bowers, J. Lund (Eds.), Proc. Computation and Control III, Birkhäuser, Basel, 1993, pp. 341-354.
    • (1993) Proc. Computation and Control III , pp. 341-354
    • Stenger, F.1    Barkey, B.2    Vakili, R.3
  • 23
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    • ODE-IVP - PACK, via Sinc indefinite integration and Newton iteration
    • to appear
    • F. Stenger, B. Keyes, M. O'reilly, K. Parker, ODE-IVP - PACK, via Sinc indefinite integration and Newton iteration, Numer. Algorithms, to appear.
    • Numer. Algorithms
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.