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Volumn 98, Issue 1, 1998, Pages 81-98

How to choose modified moments?

Author keywords

Modified Chebyshev algorithm; Modified moments; Orthogonal polynomials

Indexed keywords

ALGORITHMS; CHEBYSHEV APPROXIMATION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

EID: 0032487148     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00116-2     Document Type: Article
Times cited : (21)

References (19)
  • 4
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    • H.-J. Fischer, On the condition of orthogonal polynomials via modified moments, Z. Anal. Anwendungen 15 (1) (1996) 1-18.
    • (1996) Z. Anal. Anwendungen , vol.15 , Issue.1 , pp. 1-18
    • Fischer, H.-J.1
  • 6
    • 84968482063 scopus 로고
    • Construction of Gauss-Christoffel quadrature formulas
    • W. Gautschi, Construction of Gauss-Christoffel quadrature formulas, Math. Comput., 22 (1968) 251-270.
    • (1968) Math. Comput. , vol.22 , pp. 251-270
    • Gautschi, W.1
  • 7
    • 84966204289 scopus 로고
    • On the construction of Gaussian quadrature rules from modified moments
    • W. Gautschi, On the construction of Gaussian quadrature rules from modified moments, Math. Comput. 24 (1970) 245-260.
    • (1970) Math. Comput. , vol.24 , pp. 245-260
    • Gautschi, W.1
  • 8
    • 0001505159 scopus 로고
    • On generating orthogonal polynomials
    • W. Gautschi, On generating orthogonal polynomials, Siam J. Sci. Statist. Comput. 3(3) (1982) 298-317.
    • (1982) Siam J. Sci. Statist. Comput. , vol.3 , Issue.3 , pp. 298-317
    • Gautschi, W.1
  • 9
    • 0002888704 scopus 로고
    • Orthogonal polynomials - Constructive theory and applications
    • W. Gautschi, Orthogonal polynomials - Constructive theory and applications, J. Comput. Appl. Math. 12&13 (1985) 61-76.
    • (1985) J. Comput. Appl. Math. , vol.12-13 , pp. 61-76
    • Gautschi, W.1
  • 10
    • 0008495563 scopus 로고
    • On the sensitivity of orthogonal polynomials to perturbations in the moments
    • W. Gautschi, On the sensitivity of orthogonal polynomials to perturbations in the moments, Numer. Math. 48 (1986) 369-382.
    • (1986) Numer. Math. , vol.48 , pp. 369-382
    • Gautschi, W.1
  • 13
    • 38249000289 scopus 로고
    • Computing the coefficients of a recurrence formula for numerical integration by moments and modified moments
    • M.M. Cecchi, M.R. Zaglia, Computing the coefficients of a recurrence formula for numerical integration by moments and modified moments, J. Comput. Appl. Math. 49 (1-3) (1993) 207-216.
    • (1993) J. Comput. Appl. Math. , vol.49 , Issue.1-3 , pp. 207-216
    • Cecchi, M.M.1    Zaglia, M.R.2
  • 15
    • 0000705414 scopus 로고
    • An algorithm for Gaussian quadrature given modified moments
    • R.A. Sack, A.F. Donovan, An algorithm for Gaussian quadrature given modified moments, Numer. Math. 18 (1971/72) 465-478.
    • (1971) Numer. Math. , vol.18 , pp. 465-478
    • Sack, R.A.1    Donovan, A.F.2
  • 17
    • 0001333621 scopus 로고
    • Perturbation bounds for the QR factorization of a matrix
    • G.W. Stewart, Perturbation bounds for the QR factorization of a matrix, SIAM J. Numer. Anal. 14(3) (1977) 509-517.
    • (1977) SIAM J. Numer. Anal. , vol.14 , Issue.3 , pp. 509-517
    • Stewart, G.W.1
  • 18
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    • AMS Colloquium Publications, American Mathematical Society, Providence, RI
    • G. Szegö, Orthogonal Polynomials, 4th ed., AMS Colloquium Publications, vol. 23, American Mathematical Society, Providence, RI, 1975.
    • (1975) Orthogonal Polynomials, 4th Ed. , vol.23
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  • 19
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    • Modified moments and Gaussian quadrature
    • J.C. Wheeler, Modified moments and Gaussian quadrature, Rocky Mountain J. Math. 4 (1974) 287-296.
    • (1974) Rocky Mountain J. Math. , vol.4 , pp. 287-296
    • Wheeler, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.