• DocumentCode
    1135174
  • Title

    Floating-Point Computation of Functions with Maximum Accuracy

  • Author

    Bohlender, Gerd

  • Author_Institution
    Institute of Applied Mathematics, University of Karlsruhe
  • Issue
    7
  • fYear
    1977
  • fDate
    7/1/1977 12:00:00 AM
  • Firstpage
    621
  • Lastpage
    632
  • Abstract
    Algorithms are given that compute multiple sums and products and arbitrary 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, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.; Floating-point arithmetic; Mathematics; Newton method; Accuracy, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1977.1674894
  • Filename
    1674894
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1135174