• DocumentCode
    959989
  • Title

    The Status of Investigations into Computer Hardware Design Based on the Use of Continued Fractions

  • Author

    Robertson, James E. ; Trivedi, Kishor S.

  • Author_Institution
    Department of Computer Science, University of Illinois, Urbana, Ill. 61801.
  • Issue
    6
  • fYear
    1973
  • fDate
    6/1/1973 12:00:00 AM
  • Firstpage
    555
  • Lastpage
    560
  • Abstract
    The purpose of this paper is to demonstrate that representations of numbers other than positional notation may lead to practical hardware realizations for digital calculation of classes of algorithms. This paper describes current research in the use of continued fractions. Although practicality has not been demonstrated, theoretical results are promising.
  • Keywords
    Computer science; Cost function; Floating-point arithmetic; Hardware; History; Mathematics; Riccati equations; Computer arithmetic; Riccati equation; continued fractions; continued products; hardware; quadratic equation; radix; representation of numbers; selection rules;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1973.5009106
  • Filename
    5009106
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=959989