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Volumn 28, Issue 4, 2006, Pages 1437-1462

Efficient and reliable multiprecision implementation of elementary and special functions

Author keywords

Continued fractions; Special functions; Variable precision; Verified

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; COMPUTER SCIENCE; FUNCTION EVALUATION; MATHEMATICAL MODELS; RELIABILITY THEORY; STATISTICS;

EID: 33750059578     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050629203     Document Type: Article
Times cited : (11)

References (15)
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    • CH. BALTUS AND W. B. JONES, Truncation error bounds for modified continued fractions with applications to special functions, Numer. Math., 55 (1989), pp. 281-307.
  • 3
    • 0346861452 scopus 로고    scopus 로고
    • A new testament for special functions?
    • 2
    • B.A. CIPRA, A new testament for special functions?, SIAM News, 31 (2) (1998), p. 20.
    • (1998) SIAM News
    • CIPRA, B.A.1
  • 5
    • 0002334558 scopus 로고
    • Computational aspects of three-term recurrence relations
    • W. GAUTSCHI, Computational aspects of three-term recurrence relations, SIAM Rev., 9 (1967), pp. 24-82.
    • (1967) SIAM Rev , vol.9 , pp. 24-82
    • GAUTSCHI, W.1
  • 6
    • 0242451328 scopus 로고
    • TWO constructive results in continued fractions
    • W.B. GRAGG AND D.D. WARNER, TWO constructive results in continued fractions, SIAM J. Numer. Anal., 20 (1983), pp. 1187-1197.
    • (1983) SIAM J. Numer. Anal , vol.20 , pp. 1187-1197
    • GRAGG, W.B.1    WARNER, D.D.2
  • 7
    • 27344453262 scopus 로고
    • Truncation error estimates for Stieltjes fractions
    • P. HENRICI AND P. PFLUGER, Truncation error estimates for Stieltjes fractions, Numer. Math., 9 (1966), pp. 120-138.
    • (1966) Numer. Math , vol.9 , pp. 120-138
    • HENRICI, P.1    PFLUGER, P.2
  • 8
    • 34547140919 scopus 로고
    • Convergence acceleration and analytic continuation by means of modifications of continued fractions
    • H. Waadeland and H. Wallin, eds, Universitetsforlaget, Trondheim-Oslo-Bergen-Tromsø, Norway
    • L. JACOBSEN, Convergence acceleration and analytic continuation by means of modifications of continued fractions, in Padé Approximants and Continued Fractions, Kongelige Norske Videnskabers Selskab 1, H. Waadeland and H. Wallin, eds., Universitetsforlaget, Trondheim-Oslo-Bergen-Tromsø, Norway, 1983, pp. 19-33.
    • (1983) Padé Approximants and Continued Fractions, Kongelige Norske Videnskabers Selskab , vol.1 , pp. 19-33
    • JACOBSEN, L.1
  • 9
    • 84966208430 scopus 로고
    • Numerical stability in evaluating continued fractions
    • W.B. JONES AND W.J. THRON, Numerical stability in evaluating continued fractions, Math. Comp., 28 (1974), pp. 795-810.
    • (1974) Math. Comp , vol.28 , pp. 795-810
    • JONES, W.B.1    THRON, W.J.2
  • 10
    • 0242592423 scopus 로고    scopus 로고
    • A priori truncation error bounds for continued fractions
    • L. LORENTZEN, A priori truncation error bounds for continued fractions, Rocky Mountain J. Math., 33 (2003), pp. 409-474.
    • (2003) Rocky Mountain J. Math , vol.33 , pp. 409-474
    • LORENTZEN, L.1
  • 12
    • 85160609851 scopus 로고    scopus 로고
    • SUN MICROSYSTEMS, fdlibm, www.netlib.org/fdlibm (1995).
    • SUN MICROSYSTEMS, fdlibm, www.netlib.org/fdlibm (1995).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.