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Volumn 87, Issue 2, 1997, Pages 261-284

Convergence for the regularized inversion of Fourier series

Author keywords

Fourier series; Generalized cross validation; Regularization; Smoothing data

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INVERSE PROBLEMS; NUMERICAL ANALYSIS;

EID: 0031334724     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00193-3     Document Type: Article
Times cited : (9)

References (13)
  • 1
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    • An advanced optimal spectral estimation algorithm in Fourier spectroscopy with application to remote sensing of the atmosphere
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    • (1993) J. Appl. Meteor. , vol.32 , pp. 1508-1520
    • Amato, U.1    Cuomo, V.2    Serio, C.3
  • 2
    • 85033104964 scopus 로고
    • Retrieving a periodic function from its Fourier finite transform corrupted by error
    • U. Amato, C. Serio, Retrieving a periodic function from its Fourier finite transform corrupted by error, Colloq. Math. Soc. János Bolyai 58 (1990) 9-39.
    • (1990) Colloq. Math. Soc. János Bolyai , vol.58 , pp. 9-39
    • Amato, U.1    Serio, C.2
  • 3
    • 0001474386 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven, G. Whaba, Smoothing Noisy Data with Spline Functions, Numer. Math. 59 (1979) 377-403.
    • (1979) Numer. Math. , vol.59 , pp. 377-403
    • Craven, G.W.1
  • 4
    • 0042612723 scopus 로고
    • A unifying approach to the regularization of Fourier polynomials
    • D. De Falco, M. Frontini, L. Gotusso, A unifying approach to the regularization of Fourier polynomials, Numer. Algorithms 5 (1993) 419-424.
    • (1993) Numer. Algorithms , vol.5 , pp. 419-424
    • De Falco, D.1    Frontini, M.2    Gotusso, L.3
  • 5
    • 84968466490 scopus 로고
    • On the choice of parameter in a method for the inversion of Fourier series
    • M. Di Natale, L. Gotusso, R. Pavani, D. Roux, On the choice of parameter in a method for the inversion of Fourier series, Math. Comput. 58 (1992) 737-744.
    • (1992) Math. Comput. , vol.58 , pp. 737-744
    • Natale, M.D.1    Gotusso, L.2    Pavani, R.3    Roux, D.4
  • 7
    • 38248999589 scopus 로고
    • A regularization method for discrete Fourier polynomials
    • M. Frontini, L. Gotusso, A regularization method for discrete Fourier polynomials, J. Comput. Appl. Math. 49 (1993) 71-78.
    • (1993) J. Comput. Appl. Math. , vol.49 , pp. 71-78
    • Frontini, M.1    Gotusso, L.2
  • 8
    • 0041610837 scopus 로고
    • On the regularized approximation with orthogonal polynomials
    • 1985
    • M. Frontini, S. Seatzu, On the regularized approximation with orthogonal polynomials, Rend. Sem. Fac. Sci. Univ. Cagliari 55 (1985) 53-65 (1985).
    • (1985) Rend. Sem. Fac. Sci. Univ. Cagliari , vol.55 , pp. 53-65
    • Frontini, M.1    Seatzu, S.2
  • 10
  • 11
    • 0040046900 scopus 로고
    • On the inversion of noisy Fourier transforms
    • D. Roux, On the inversion of noisy Fourier transforms, Rend. Circ. Matem. Palermo Serie II 33 (1993) 113-122.
    • (1993) Rend. Circ. Matem. Palermo Serie II , vol.33 , pp. 113-122
    • Roux, D.1
  • 13
    • 0038862055 scopus 로고
    • Smoothing inversion of Fourier series using generalized cross-validation
    • M. Tasche, N. Weyrych, Smoothing inversion of Fourier series using generalized cross-validation, Centre for Approximation Theory Report 320, 1993.
    • (1993) Centre for Approximation Theory Report , vol.320
    • Tasche, M.1    Weyrych, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.