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Volumn , Issue , 2007, Pages 153-160

A certified infinite norm for the implementation of elementary functions

Author keywords

[No Author keywords available]

Indexed keywords

(MIN ,MAX ,+) FUNCTIONS; ELEMENTARY FUNCTIONS; FLOATING POINT (FP); HIGH QUALITY (HQ); INFINITE NORM; INTERNATIONAL CONFERENCES; QUALITY SOFTWARE;

EID: 46449095456     PISSN: 15506002     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/QSIC.2007.4385491     Document Type: Conference Paper
Times cited : (16)

References (16)
  • 2
    • 0032043274 scopus 로고    scopus 로고
    • The basic properties of interval arithmetic, its software realizations and some applications
    • G. Alefeld and D. Claudio. The basic properties of interval arithmetic, its software realizations and some applications. Computers and Structures, 67:3-8, 1998.
    • (1998) Computers and Structures , vol.67 , pp. 3-8
    • Alefeld, G.1    Claudio, D.2
  • 5
    • 27944445485 scopus 로고    scopus 로고
    • Guaranteed proofs using interval arithmetic
    • P. Montuschi and E. Schwarz, editors, Cape Cod, Massachusetts, USA
    • M. Daumas, G. Melquiond, and C. Muñoz. Guaranteed proofs using interval arithmetic. In P. Montuschi and E. Schwarz, editors, Proceedings of the 17th IEEE Symposium on Computer Arithmetic, pages 188-195, Cape Cod, Massachusetts, USA, 2005.
    • (2005) Proceedings of the 17th IEEE Symposium on Computer Arithmetic , pp. 188-195
    • Daumas, M.1    Melquiond, G.2    Muñoz, C.3
  • 7
    • 33751034160 scopus 로고    scopus 로고
    • Assisted verification of elementary functions using Gappa
    • P. Langlois and S. Rump, editors, Dijon, France, April, Association for Computing Machinery, Inc, ACM
    • F. de Dinechin, C. Q. Lauter, and G. Melquiond. Assisted verification of elementary functions using Gappa. In P. Langlois and S. Rump, editors, Proceedings of the 21st Annual ACM Symposium on Applied Computing - MCMS Track, volume 2, pages 1318-1322, Dijon, France, April 2006. Association for Computing Machinery, Inc. (ACM).
    • (2006) Proceedings of the 21st Annual ACM Symposium on Applied Computing - MCMS Track , vol.2 , pp. 1318-1322
    • de Dinechin, F.1    Lauter, C.Q.2    Melquiond, G.3
  • 9
    • 0006707837 scopus 로고    scopus 로고
    • Floating point verification in HOL light: The exponential function
    • Technical Report 428, University of Cambridge Computer Laboratory
    • J. Harrison. Floating point verification in HOL light: the exponential function. Technical Report 428, University of Cambridge Computer Laboratory, 1997.
    • (1997)
    • Harrison, J.1
  • 10
    • 0036457301 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition
    • N. J. Higham. Accuracy and Stability of Numerical Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition, 2002.
    • (2002) Accuracy and Stability of Numerical Algorithms
    • Higham, N.J.1
  • 11
    • 46449096195 scopus 로고    scopus 로고
    • W. Hofschuster and W. Krämer. FI_LIB, eine schnelle und portable Funktionsbibliothek für reelle Argumente und reelle Intervalle im IEEE-double-Format. Technical Report 98/7, Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe, 1998.
    • W. Hofschuster and W. Krämer. FI_LIB, eine schnelle und portable Funktionsbibliothek für reelle Argumente und reelle Intervalle im IEEE-double-Format. Technical Report 98/7, Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe, 1998.
  • 12
    • 24544445541 scopus 로고    scopus 로고
    • Sichere und genaue Abschätzung des Approximationsfehlers bei rationalen Approximationen
    • Technical report, Institut für angewandte Mathematik, Universität Karlsruhe
    • W.Krämer. Sichere und genaue Abschätzung des Approximationsfehlers bei rationalen Approximationen. Technical report, Institut für angewandte Mathematik, Universität Karlsruhe, 1996.
    • (1996)
    • Krämer, W.1
  • 15
    • 2442566927 scopus 로고    scopus 로고
    • ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions
    • M. Neher. ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions. ACM Transactions on Mathematical Software, 2003.
    • (2003) ACM Transactions on Mathematical Software
    • Neher, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.