• DocumentCode
    1148428
  • Title

    A Simple Approach to the Error Analysis of Division-Free Numerical Algorithms

  • Author

    Tsao, Nai-kuan

  • Author_Institution
    Department of Computer Science, Wayne State University
  • Issue
    4
  • fYear
    1983
  • fDate
    4/1/1983 12:00:00 AM
  • Firstpage
    343
  • Lastpage
    351
  • Abstract
    A simple approach is described for the error analysis of division-free algorithms. Applications to the comparison of algorithms for extended sums, products, real polynomial evaluation, complex polynomial evaluation are also given.
  • Keywords
    Complex arithmetic; data complexity; error analysis; error complexity; extended sums and products; floating-point arithmetic; real polynomial at complex argument; Algorithm design and analysis; Application software; Automatic control; Computer aided instruction; Computer errors; Cost accounting; Error analysis; Floating-point arithmetic; Linear systems; Polynomials; Complex arithmetic; data complexity; error analysis; error complexity; extended sums and products; floating-point arithmetic; real polynomial at complex argument;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1983.1676235
  • Filename
    1676235