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Volumn 22, Issue 2, 1999, Pages 183-192

Stable rational modification of a weight

Author keywords

Gauss quadrature; Orthogonal polynomial; Rational function; Three term recurrence

Indexed keywords


EID: 0033270716     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019110924855     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 84968467316 scopus 로고
    • Algebraic methods for modified orthogonal polynomials
    • D. Galant, Algebraic methods for modified orthogonal polynomials, Math. Comp. 59(200) (1992) 541-546.
    • (1992) Math. Comp. , vol.59 , Issue.200 , pp. 541-546
    • Galant, D.1
  • 2
    • 0002334558 scopus 로고
    • Computational aspects of three-term recurrence relations
    • W. Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9 (1967) 24-82.
    • (1967) SIAM Rev. , vol.9 , pp. 24-82
    • Gautschi, W.1
  • 3
    • 84966208168 scopus 로고
    • Minimal solutions of three-term recurrence relations and orthogonal polynomials
    • W. Gautschi, Minimal solutions of three-term recurrence relations and orthogonal polynomials, Math. Comp. 36(154) (1981) 547-554.
    • (1981) Math. Comp. , vol.36 , Issue.154 , pp. 547-554
    • Gautschi, W.1
  • 4
    • 0001849258 scopus 로고
    • An algorithmic implementation of the generalized Christoffel theorem
    • ed. G. Hämmerlin, International Series of Numerical Mathematics, Birkhäuser, Basel
    • W. Gautschi, An algorithmic implementation of the generalized Christoffel theorem, in: Numerical Integration, ed. G. Hämmerlin, International Series of Numerical Mathematics, Vol. 57 (Birkhäuser, Basel, 1982) pp. 89-106.
    • (1982) Numerical Integration , vol.57 , pp. 89-106
    • Gautschi, W.1
  • 5
    • 0002539172 scopus 로고
    • Gauss-type quadrature rules for rational functions
    • eds. H. Brass and G. Hämmerlin, International Series of Numerical Mathematics, Birkhäuser, Basel
    • W. Gautschi, Gauss-type quadrature rules for rational functions, in: Numerical Integration IV, eds. H. Brass and G. Hämmerlin, International Series of Numerical Mathematics, Vol. 112 (Birkhäuser, Basel, 1993) pp. 111-130.
    • (1993) Numerical Integration IV , vol.112 , pp. 111-130
    • Gautschi, W.1
  • 7
    • 0003734164 scopus 로고    scopus 로고
    • Quadrature formulae of interpolatory rational type
    • in Russian
    • E.A. Rovba, Quadrature formulae of interpolatory rational type, Dokl. Akad. Nauk Belarusi 40(3) (1996) 42-46 (in Russian).
    • (1996) Dokl. Akad. Nauk Belarusi , vol.40 , Issue.3 , pp. 42-46
    • Rovba, E.A.1
  • 8
    • 0008494658 scopus 로고
    • Relation between polynomials orthogonal with different weights
    • in Russian
    • V.B. Uvarov, Relation between polynomials orthogonal with different weights, Dokl. Akad. Nauk SSSR 126 (1959) 33-36 (in Russian).
    • (1959) Dokl. Akad. Nauk SSSR , vol.126 , pp. 33-36
    • Uvarov, V.B.1
  • 9
    • 0040443249 scopus 로고
    • The connection between systems of polynomials that are orthogonal with respect to different distribution functions
    • in Russian
    • V.B. Uvarov, The connection between systems of polynomials that are orthogonal with respect to different distribution functions, Zh. Vychisl. Mat. i Mat. Fiz. 9 (1969) 1253-1262 (in Russian) (English translation in Comput. Math. Math. Phys. 9(6) (1969) 25-36).
    • (1969) Zh. Vychisl. Mat. i Mat. Fiz. , vol.9 , pp. 1253-1262
    • Uvarov, V.B.1
  • 10
    • 0042675549 scopus 로고
    • English translation
    • V.B. Uvarov, The connection between systems of polynomials that are orthogonal with respect to different distribution functions, Zh. Vychisl. Mat. i Mat. Fiz. 9 (1969) 1253-1262 (in Russian) (English translation in Comput. Math. Math. Phys. 9(6) (1969) 25-36).
    • (1969) Comput. Math. Math. Phys. , vol.9 , Issue.6 , pp. 25-36
  • 11
    • 21344479934 scopus 로고
    • Quadrature formulas based on rational interpolation
    • W. Van Assche and I. Vanherwegen, Quadrature formulas based on rational interpolation, Math. Comp. 61(204) (1993) 765-783.
    • (1993) Math. Comp. , vol.61 , Issue.204 , pp. 765-783
    • Van Assche, W.1    Vanherwegen, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.