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Volumn , Issue , 2003, Pages 129-136

Theorems on efficient argument reductions

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; POLYNOMIAL APPROXIMATION; THEOREM PROVING;

EID: 0042134517     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (18)

References (20)
  • 1
    • 0003589321 scopus 로고
    • IEEE standard for binary floating-point arithmetic
    • New York
    • American National Standards Institute and Institute of Electrical and Electronic Engineers. IEEE standard for binary floating-point arithmetic. ANSI/IEEE Standard, Std 754-1985, New York, 1985.
    • (1985) ANSI/IEEE Standard, Std 754-1985
  • 4
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • Mar.
    • D. Goldberg. What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys, 23(1):5-47, Mar. 1991.
    • (1991) ACM Computing Surveys , vol.23 , Issue.1 , pp. 5-47
    • Goldberg, D.1
  • 5
    • 0003335468 scopus 로고    scopus 로고
    • The computation of transcendental functions on the IA-64 architecture
    • November
    • J. Harrison, T. Kubaska, S. Story, and P. T. P. Tang. The computation of transcendental functions on the IA-64 architecture. Intel Technology Journal, (Q4):1-7, November 1999.
    • (1999) Intel Technology Journal , Issue.Q4 , pp. 1-7
    • Harrison, J.1    Kubaska, T.2    Story, S.3    Tang, P.T.P.4
  • 7
    • 0006399144 scopus 로고    scopus 로고
    • The Coq proof assistant: A tutorial: Version 7.2
    • Institut National de Recherche en Informatique et en Automatique, Le Chesnay, France
    • G. Huet, G. Kahn, and C. Paulin-Mohring. The Coq proof assistant: a tutorial: version 7.2. Technical Report 256, Institut National de Recherche en Informatique et en Automatique, Le Chesnay, France, 2002. Available at ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RT/RT-0256.pdf.
    • (2002) Technical Report , vol.256
    • Huet, G.1    Kahn, G.2    Paulin-Mohring, C.3
  • 8
    • 14844344402 scopus 로고
    • At the beginning of the file "nearpi.c"
    • W. Kahan. Minimizing q*m-n. At the beginning of the file "nearpi.c", available electronically at http://http.cs.berkeley.edu/̃wkahan/testpi, 1983.
    • (1983) Minimizing q*m-n
    • Kahan, W.1
  • 13
    • 0006432892 scopus 로고
    • Argument reduction for huge arguments: Good to the last bit
    • SunPro
    • K. C. Ng. Argument reduction for huge arguments: Good to the last bit. Technical report, SunPro, 1992. available electronically at http://www.validgh.com/.
    • (1992) Technical Report
    • Ng, K.C.1
  • 15
    • 0039193928 scopus 로고
    • On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria
    • February
    • M. J. D. Powell. On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. The Computer Journal, 9(4):404 - 407, February 1967.
    • (1967) The Computer Journal , vol.9 , Issue.4 , pp. 404-407
    • Powell, M.J.D.1
  • 17
    • 0024682692 scopus 로고
    • Table-driven implementation of the exponential function in IEEE floating-point arithmetic
    • June
    • P. T. P. Tang. Table-driven implementation of the exponential function in IEEE floating-point arithmetic. ACM Transactions on Mathematical Software, 15(2):144-157, June 1989.
    • (1989) ACM Transactions on Mathematical Software , vol.15 , Issue.2 , pp. 144-157
    • Tang, P.T.P.1
  • 18
    • 0025599720 scopus 로고
    • Table-driven implementation of the logarithm function in IEEE floating-point arithmetic
    • Dec.
    • P. T. P. Tang. Table-driven implementation of the logarithm function in IEEE floating-point arithmetic. ACM Transactions on Mathematical Software, 16(4):378-400, Dec. 1990.
    • (1990) ACM Transactions on Mathematical Software , vol.16 , Issue.4 , pp. 378-400
    • Tang, P.T.P.1
  • 19
    • 0026171455 scopus 로고
    • Table lookup algorithms for elementary functions and their error analysis
    • P. Kornerup and D. W. Matula, editors, Grenoble, France, June. IEEE Computer Society Press, Los Alamitos, CA
    • P. T. P. Tang. Table lookup algorithms for elementary functions and their error analysis. In P. Kornerup and D. W. Matula, editors, Proceedings of the 10th IEEE Symposium on Computer Arithmetic, pages 232-236, Grenoble, France, June 1991. IEEE Computer Society Press, Los Alamitos, CA.
    • (1991) Proceedings of the 10th IEEE Symposium on Computer Arithmetic , pp. 232-236
    • Tang, P.T.P.1
  • 20
    • 0026875274 scopus 로고
    • Table-driven implementation of the expm1 function in IEEE floating-point arithmetic
    • June
    • P. T. P. Tang. Table-driven implementation of the expm1 function in IEEE floating-point arithmetic. ACM Transactions on Mathematical Software, 18(2):211-222, June 1992.
    • (1992) ACM Transactions on Mathematical Software , vol.18 , Issue.2 , pp. 211-222
    • Tang, P.T.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.