메뉴 건너뛰기




Volumn , Issue , 2010, Pages 121-130

Accuracy versus time: A case study with summation algorithms

Author keywords

Floating point numbers; Parallelism; Precision; Summation

Indexed keywords

ASSOCIATIVITY; COMPENSATION TECHNIQUES; CRITICAL PATHS; FLOATING POINT NUMBERS; NUMERICAL ALGORITHMS; PARALLELISM; PRECISION; SUMMATION; SUMMATION ALGORITHM; TIME CONSTRAINTS;

EID: 77956246616     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1837210.1837229     Document Type: Conference Paper
Times cited : (10)

References (21)
  • 3
    • 34848861919 scopus 로고    scopus 로고
    • Real and complex pseudozero sets for polynomials with applications
    • Stef Graillat and Philippe Langlois. Real and complex pseudozero sets for polynomials with applications. Theoretical Informatics and Applications, 41(1):45-56, 2007.
    • (2007) Theoretical Informatics and Applications , vol.41 , Issue.1 , pp. 45-56
    • Graillat, S.1    Langlois, P.2
  • 4
    • 0000155361 scopus 로고
    • The accuracy of floating point summation
    • Nicholas J. Higham. The accuracy of floating point summation. SIAM Journal on Scientific Computing, 14:783-799, 1993.
    • (1993) SIAM Journal on Scientific Computing , vol.14 , pp. 783-799
    • Higham, N.J.1
  • 5
    • 0036457301 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition
    • Nicholas 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
  • 8
    • 0003657590 scopus 로고    scopus 로고
    • (3rd ed.): seminumerical algorithms. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA
    • Donald E. Knuth. The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 1997.
    • (1997) The Art of Computer Programming , vol.2
    • Knuth, D.E.1
  • 11
    • 33745896800 scopus 로고    scopus 로고
    • Semantics of roundoff error propagation in finite precision calculations
    • Matthieu Martel. Semantics of roundoff error propagation in finite precision calculations. Journal of Higher Order and Symbolic Computation, 19:7-30, 2006.
    • (2006) Journal of Higher Order and Symbolic Computation , vol.19 , pp. 7-30
    • Martel, M.1
  • 12
    • 74549224380 scopus 로고    scopus 로고
    • Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics
    • Matthieu Martel. Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics. Journal of Formal Methods in System Design, 35:265-278, 2009.
    • (2009) Journal of Formal Methods in System Design , vol.35 , pp. 265-278
    • Martel, M.1
  • 13
    • 0003884483 scopus 로고
    • Patriot missile defense: Software problem led to system failure at dhahran, saudi arabia
    • United States General Accounting Office Washington, D.C., February
    • United States General Accounting Office. Patriot missile defense: Software problem led to system failure at Dhahran, Saudi Arabia. Report GAO/IMTEC-92-26, Information Management and Technology Division, Washington, D.C., February 1992.
    • (1992) Report GAO/IMTEC-92-26, Information Management and Technology Division
  • 15
    • 0012031370 scopus 로고
    • Correction d'une somme en arithmétique à virgule flottante
    • Michèle Pichat. Correction d'une somme en arithmétique à virgule flottante. Applied Numerical Mathematics, 19:400-406, 1972.
    • (1972) Applied Numerical Mathematics , vol.19 , pp. 400-406
    • Pichat, M.1
  • 16
    • 0026169919 scopus 로고
    • Algorithms for arbitrary precision floating point arithmetic
    • Peter Kornerup and David W. Matula, editors IEEE Computer Society Press, Los Alamitos, CA, USA
    • Douglas M. Priest. Algorithms for arbitrary precision floating point arithmetic. In Peter Kornerup and David W. Matula, editors, Proc. 10th IEEE Symposium on Computer Arithmetic, pages 132-143. IEEE Computer Society Press, Los Alamitos, CA, USA, 1991.
    • (1991) Proc. 10th IEEE Symposium on Computer Arithmetic , pp. 132-143
    • Priest, D.M.1
  • 18
    • 0004264647 scopus 로고
    • Prentice-Hall, Inc., Upper Saddle River, NJ, USA
    • Fred S. Roberts. Applied combinatorics. Prentice-Hall, Inc., Upper Saddle River, NJ, USA, 1984.
    • (1984) Applied Combinatorics
    • Roberts, F.S.1
  • 19
    • 77956237657 scopus 로고    scopus 로고
    • Ultimately fast accurate summation
    • Siegfried M. Rump. Ultimately fast accurate summation. SIAM Journal on Scientific Computing, 31(5):3466-3502, 2009.
    • (2009) SIAM Journal on Scientific Computing , vol.31 , Issue.5 , pp. 3466-3502
    • Rump, S.M.1
  • 20
    • 55049129860 scopus 로고    scopus 로고
    • Accurate floating-point summation - Part I: Faithful rounding
    • Siegfried M. Rump, Takeshi Ogita, and Shin'ichi Oishi. Accurate floating-point summation - part I: Faithful rounding. SIAM Journal on Scientific Computing, 31(1):189-224, 2008.
    • (2008) SIAM Journal on Scientific Computing , vol.31 , Issue.1 , pp. 189-224
    • Rump, S.M.1    Ogita, T.2    Oishi, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.