메뉴 건너뛰기




Volumn 26, Issue 6, 2005, Pages 2066-2078

A new distillation algorithm for floating-point summation

Author keywords

Distillation; Floating point summation; Rounding error

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; ERROR ANALYSIS; ITERATIVE METHODS; NUMBER THEORY;

EID: 24644433724     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/030602009     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 0033294958 scopus 로고    scopus 로고
    • A distillation algorithm for floating-point summation
    • I. J. ANDERSON, A distillation algorithm for floating-point summation, SIAM J. Sci. Comput., 20 (1999), pp. 1797-1806.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1797-1806
    • Anderson, I.J.1
  • 4
    • 0000810983 scopus 로고
    • A floating-point technique for extending the available precision
    • T. J. DEKKER, A floating-point technique for extending the available precision, Numer. Math., 18 (1971), pp. 224-242.
    • (1971) Numer. Math. , vol.18 , pp. 224-242
    • Dekker, T.J.1
  • 5
    • 4043118275 scopus 로고    scopus 로고
    • Accurate and efficient floating point summation
    • J. DEMMEL AND Y. HIDA, Accurate and efficient floating point summation, SIAM J. Sci. Comput., 25 (2003), pp. 1214-1248.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 1214-1248
    • Demmel, J.1    Hida, Y.2
  • 6
    • 0029535608 scopus 로고
    • On floating-point summation
    • T. O. ESPELID, On floating-point summation, SIAM Rev., 37 (1995), pp. 603-607.
    • (1995) SIAM Rev. , vol.37 , pp. 603-607
    • Espelid, T.O.1
  • 7
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • D. GOLDBERG, What every computer scientist should know about floating-point arithmetic, ACM Comput. Surveys, 23 (1991), pp. 5-48.
    • (1991) ACM Comput. Surveys , vol.23 , pp. 5-48
    • Goldberg, D.1
  • 8
    • 84976740341 scopus 로고
    • A comparision of floating point summation methods
    • J. GREGORY, A comparision of floating point summation methods, Commun. ACM, 15 (1972), p. 838.
    • (1972) Commun. ACM , vol.15 , pp. 838
    • Gregory, J.1
  • 9
    • 0000155361 scopus 로고
    • The accuracy of floating point summation
    • N. J. HIGHAM, The accuracy of floating point summation, SIAM J. Sci. Comput., 14 (1993), pp. 783-799.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 783-799
    • Higham, N.J.1
  • 12
    • 84943347456 scopus 로고
    • Further remarks on reducing truncation error
    • W. KAHAN, Further remarks on reducing truncation error, Commun. ACM, 8 (1965), p. 40.
    • (1965) Commun. ACM , vol.8 , pp. 40
    • Kahan, W.1
  • 15
    • 0014797166 scopus 로고
    • Accurate floating-point summation
    • P. LINZ, Accurate floating-point summation, Commun. ACM, 13 (1970), pp. 361-362.
    • (1970) Commun. ACM , vol.13 , pp. 361-362
    • Linz, P.1
  • 16
    • 0015158598 scopus 로고
    • On accurate floating-point summation
    • M. A. MALCOLM, On accurate floating-point summation, Commun. ACM, 14 (1971), pp. 731-736.
    • (1971) Commun. ACM , vol.14 , pp. 731-736
    • Malcolm, M.A.1
  • 17
    • 85160644024 scopus 로고    scopus 로고
    • The accuracy of floating point summations for CG-like methods
    • Department of Computer Science, Indiana University-Bloomington, Bloomington, IN
    • E. MIZUKAMI, The Accuracy of Floating Point Summations for CG-Like Methods, Technical report 486, Department of Computer Science, Indiana University-Bloomington, Bloomington, IN, 1997.
    • (1997) Technical Report , vol.486
    • Mizukami, E.1
  • 18
    • 0015982207 scopus 로고
    • Rundungsfehleranalyse einiger verfahren zur summation endlicher summen
    • A. NEUMAIER, Rundungsfehleranalyse einiger verfahren zur summation endlicher summen, Z. Angew. Math. Mech., 54 (1974), pp. 39-51.
    • (1974) Z. Angew. Math. Mech. , vol.54 , pp. 39-51
    • Neumaier, A.1
  • 19
    • 0026169919 scopus 로고
    • Algorithms for arbitrary precision floating point arithmetic
    • P. Kornerup and D. W. Matula, eds., IEEE Computer Society, Los Alamitos, CA
    • D. M. PRIEST, Algorithms for arbitrary precision floating point arithmetic, in Proceedings of the 10th IEEE Symposium on Computer Arithmetic, P. Kornerup and D. W. Matula, eds., IEEE Computer Society, Los Alamitos, CA, 1991, pp. 132-143.
    • (1991) Proceedings of the 10th IEEE Symposium on Computer Arithmetic , pp. 132-143
    • Priest, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.