• DocumentCode
    789532
  • Title

    Approximate roots of n th-order polynomials

  • Author

    Eisenberg, Lawresce

  • Author_Institution
    Newark College of Engineering, Newark, NJ, USA
  • Volume
    10
  • Issue
    3
  • fYear
    1965
  • fDate
    7/1/1965 12:00:00 AM
  • Firstpage
    354
  • Lastpage
    356
  • Abstract
    Two theorems are introduced that relate to the approximation of minimum magnitude real and complex conjugate roots of n th-order polynomials. These approximations are given in terms of all the coefficients of the polynomial. Tables of the accuracy of the approximations to the minimum magnitude real and complex conjugate roots are presented. Also presented, is an example of an application to a linear control system.
  • Keywords
    Polynomials; Closed-form solution; Control system analysis; Control systems; Equations; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1965.1098138
  • Filename
    1098138