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Volumn 24, Issue 4, 2004, Pages 547-556

The numerical stability of barycentric Lagrange interpolation

Author keywords

Backward error; Barycentric formula; Forward error; Lagrange interpolation; Lebesgue constant; Polynomial interpolation; Rounding error analysis

Indexed keywords

ERROR ANALYSIS; LAGRANGE MULTIPLIERS; POLYNOMIALS;

EID: 7444229866     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/24.4.547     Document Type: Article
Times cited : (287)

References (12)
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    • to appear
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  • 2
    • 0001688405 scopus 로고    scopus 로고
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    • BRUTMAN, L. (1997) Lebesgue functions for polynomial interpolation - A survey. Ann. Numer. Math., 4, 111-127.
    • (1997) Ann. Numer. Math. , vol.4 , pp. 111-127
    • Brutman, L.1
  • 4
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    • Fast algorithms for polynomial interpolation, integration, and differentiation
    • DUTT, A., GU, M. & ROKHLIN, V. (1993) Fast algorithms for polynomial interpolation, integration, and differentiation. SIAM J. Numer. Anal., 33, 1689-1711.
    • (1993) SIAM J. Numer. Anal. , vol.33 , pp. 1689-1711
    • Dutt, A.1    Gu, M.2    Rokhlin, V.3
  • 6
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    • 0020005932 scopus 로고
    • The numerical stability of evaluation schemes for polynomials based on the Lagrange interpolation form
    • RACK, H.-J. & REIMER, M. (1982) The numerical stability of evaluation schemes for polynomials based on the Lagrange interpolation form. BIT, 22, 101-107.
    • (1982) BIT , vol.22 , pp. 101-107
    • Rack, H.-J.1    Reimer, M.2
  • 9
    • 0004019778 scopus 로고
    • Berlin: Birkhäuser, edited by Martin Gutknecht, with the assistance of Peter Henrici, Peter Läuchli & Hans-Rudolf Schwarz. Translated by Walter Gautschi
    • RUTISHAUSER, H. (1990) Lectures on Numerical Mathematics. Berlin: Birkhäuser, edited by Martin Gutknecht, with the assistance of Peter Henrici, Peter Läuchli & Hans-Rudolf Schwarz. Translated by Walter Gautschi.
    • (1990) Lectures on Numerical Mathematics
    • Rutishauser, H.1
  • 10
    • 0001369024 scopus 로고
    • n, μ ≡ cos(μπ/n), μ = 0(1)n; some unnoted advantages
    • n, μ ≡ cos(μπ/n), μ = 0(1)n; some unnoted advantages. Comput. J., 15, 156-159.
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    • Salzer, H.E.1
  • 11
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    • Polynomial interpolation: Lagrange versus Newton
    • WERNER, W. (1984) Polynomial interpolation: Lagrange versus Newton. Math. Comput., 43, 205-217.
    • (1984) Math. Comput. , vol.43 , pp. 205-217
    • Werner, W.1
  • 12
    • 4944247521 scopus 로고
    • Note on a comparison of evaluation schemes for the interpolating polynomial
    • WINRICH, L. B. (1969) Note on a comparison of evaluation schemes for the interpolating polynomial. Comput. J., 12, 154-155.
    • (1969) Comput. J. , vol.12 , pp. 154-155
    • Winrich, L.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.