• DocumentCode
    3377960
  • Title

    Floating-point computation of functions with maximum accuracy

  • Author

    Bohlender, Gerd

  • Author_Institution
    Institut für Angewandte Mathematik der Universität, D-75 Karlsruhe, Kaiserstr. 12 West Germany
  • fYear
    1975
  • fDate
    19-20 Nov. 1975
  • Firstpage
    14
  • Lastpage
    23
  • Abstract
    Algorithms are given which compute multiple sums and products and arbitray roots of floating-point numbers with maximum accuracy. The summation algorithm can be applied to compute scalar products, matrix products, etc. For all these functions, simple error formulas and the smallest floating-point intervals containing the exact result can be obtained.
  • Keywords
    Accuracy; Approximation algorithms; Approximation methods; Indexes; Limiting; Newton method; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on
  • Conference_Location
    Dallas, TX, USA
  • Type

    conf

  • DOI
    10.1109/ARITH.1975.6156974
  • Filename
    6156974
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3377960