• DocumentCode
    2138793
  • Title

    A Rapid & Precise Algorithm Finding Zeros of Polynomials

  • Author

    Zhou Hong-bing ; Zeng Zhe-zhao

  • Author_Institution
    Railway Traffic Dept., Hunan Railway Prof. Technol. Coll., Zhuzhou, China
  • fYear
    2009
  • fDate
    24-26 Sept. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    A rapid & precise algorithm was proposed to find zeros of polynomials which were not solved by some traditional methods. Its convergence theorem was presented and proved. The computation was carried out by simple steepest descent rule with the variable learning rate. The specific examples illustrated that the proposed method can find the roots of polynomials with less computation, rapid convergence and high accuracy. Furthermore, it had also the added advantage of being able to compute exactly complex roots.
  • Keywords
    convergence of numerical methods; poles and zeros; polynomials; complex roots computation; polynomial zeros; rapid convergence theorem; rapid-and-precise algorithm; Approximation algorithms; Convergence; Educational institutions; Newton method; Polynomials; Rail transportation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wireless Communications, Networking and Mobile Computing, 2009. WiCom '09. 5th International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-3692-7
  • Electronic_ISBN
    978-1-4244-3693-4
  • Type

    conf

  • DOI
    10.1109/WICOM.2009.5303470
  • Filename
    5303470