메뉴 건너뛰기




Volumn 70, Issue 1, 2005, Pages 118-139

A parametric error analysis of Goldschmidt's division algorithm

Author keywords

Floating point arithmetic; Goldschmidt's division algorithm; Parametric error analysis

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; ITERATIVE METHODS; MICROPROCESSOR CHIPS; PARAMETER ESTIMATION; VECTORS;

EID: 9244233329     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcss.2004.08.004     Document Type: Article
Times cited : (12)

References (24)
  • 3
    • 0022811668 scopus 로고
    • Log depth circuits for division and related problems
    • P. Beame, S. Cook, H. Hoover, Log depth circuits for division and related problems, SIAM J. Comput. 15 (1986) 994-1003.
    • (1986) SIAM J. Comput. , vol.15 , pp. 994-1003
    • Beame, P.1    Cook, S.2    Hoover, H.3
  • 5
    • 0032683290 scopus 로고    scopus 로고
    • Correctness proofs outline for Newton-Raphson based floating-point divide and square root algorithms
    • I. Koren, P. Kornerup (Eds.), (Adelaide, Australia), IEEE Computer Society Press, Los Alamitos, CA, April
    • M.A. Cornea-Hasegan, R.A. Golliver, P. Markstein, Correctness proofs outline for Newton-Raphson based floating-point divide and square root algorithms, in: I. Koren, P. Kornerup (Eds.), Proceedings of the 14th IEEE Symposium on Computer Arithmetic (Adelaide, Australia), IEEE Computer Society Press, Los Alamitos, CA, April 1999, pp. 96-105.
    • (1999) Proceedings of the 14th IEEE Symposium on Computer Arithmetic , pp. 96-105
    • Cornea-Hasegan, M.A.1    Golliver, R.A.2    Markstein, P.3
  • 8
    • 0003735029 scopus 로고
    • A division method using a parallel multiplier
    • D. Ferrari, A division method using a parallel multiplier, IEEE Trans. Comput. EC-16 (1967) 224-226.
    • (1967) IEEE Trans. Comput. , vol.EC-16 , pp. 224-226
    • Ferrari, D.1
  • 9
    • 0014837586 scopus 로고
    • On division by functional iteration
    • M.J. Flynn, On division by functional iteration, IEEE Trans. Comput. C-19 (8) (1970) 702-706.
    • (1970) IEEE Trans. Comput. , vol.C-19 , Issue.8 , pp. 702-706
    • Flynn, M.J.1
  • 12
    • 0014747142 scopus 로고
    • On optimal iterative schemes for high-speed division
    • E.V. Krishnamurthy, On optimal iterative schemes for high-speed division, IEEE Trans. Comput. C-19 (3) (1970) 227-231.
    • (1970) IEEE Trans. Comput. , vol.C-19 , Issue.3 , pp. 227-231
    • Krishnamurthy, E.V.1
  • 16
    • 0032639471 scopus 로고    scopus 로고
    • Floating-point division and square root algorithms and implementation in the AMD-K7 microprocessor
    • Koren, Kornerup (Eds.), (Adelaide, Australia), IEEE Computer Society Press, Los Alamitos, CA
    • S.F. Oberman, Floating-point division and square root algorithms and implementation in the AMD-K7 microprocessor, in: Koren, Kornerup (Eds.), Proceedings of the 14th IEEE Symposium on Computer Arithmetic (Adelaide, Australia), IEEE Computer Society Press, Los Alamitos, CA, 1999, pp. 106-115.
    • (1999) Proceedings of the 14th IEEE Symposium on Computer Arithmetic , pp. 106-115
    • Oberman, S.F.1
  • 17
    • 0036857592 scopus 로고    scopus 로고
    • To booth or not to booth?
    • Nov.
    • W. Paul, P.-M. Seidel, To booth or not to booth?, INTEGRATION 32 (Nov. 2002) 5-40.
    • (2002) Integration , vol.32 , pp. 5-40
    • Paul, W.1    Seidel, P.-M.2
  • 18
    • 0025508206 scopus 로고
    • Optimal size integer division circuits
    • J. Reif, S. Tate, Optimal size integer division circuits, SIAM J. Comput. 19 (5) (1990) 912-924.
    • (1990) SIAM J. Comput. , vol.19 , Issue.5 , pp. 912-924
    • Reif, J.1    Tate, S.2
  • 19
    • 0001582662 scopus 로고    scopus 로고
    • A mechanically checked proof of IEEE compliance of a register-transfer- level specification of the AMD-K7 floating-point multiplication, division, and square root instructions
    • D. Russinoff, A mechanically checked proof of IEEE compliance of a register-transfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions, LMS J. Comput. Math. 1 (1998) 148-200.
    • (1998) LMS J. Comput. Math. , vol.1 , pp. 148-200
    • Russinoff, D.1
  • 20
    • 0031177243 scopus 로고    scopus 로고
    • CMOS floating point unit for the S/390 parallel enterprise server G4
    • E.M. Schwarz, L. Sigal, T. McPherson, CMOS floating point unit for the S/390 parallel enterprise server G4, IBM J. Res. Dev. 41 (4/5) (1997) 475-488.
    • (1997) IBM J. Res. Dev. , vol.41 , Issue.4-5 , pp. 475-488
    • Schwarz, E.M.1    Sigal, L.2    McPherson, T.3
  • 22
    • 0024282106 scopus 로고
    • Efficient parallel circuits and algorithms for division
    • N. Shankar, V. Ramachandran, Efficient parallel circuits and algorithms for division, Inform. Process. Lett. 29 (6) (1988) 307-313.
    • (1988) Inform. Process. Lett. , vol.29 , Issue.6 , pp. 307-313
    • Shankar, N.1    Ramachandran, V.2
  • 23
    • 33745088144 scopus 로고    scopus 로고
    • Area and performance tradeoffs in floating-point divide and square-root implementations
    • P. Soderquist, M. Leeser, Area and performance tradeoffs in floating-point divide and square-root implementations, ACM Comput. Surveys 28 (3) (1996) 518-564.
    • (1996) ACM Comput. Surveys , vol.28 , Issue.3 , pp. 518-564
    • Soderquist, P.1    Leeser, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.