• DocumentCode
    1180943
  • Title

    Real polynomials: Nonnegativity and positivity

  • Author

    Bickart, Theodore A. ; Jury, E.I.

  • Volume
    25
  • Issue
    9
  • fYear
    1978
  • fDate
    9/1/1978 12:00:00 AM
  • Firstpage
    676
  • Lastpage
    684
  • Abstract
    A procedure for resolution of the positivity and the nonnegativity of a real polynomial in n real variables is described. The procedure is based upon an augmented theory of resultants. The sufficiency condition, when invoked using exact arithmetic, gives an unambiguous (absolutely certain) result. Several examples are provided and comments on the attributes of this and other (alternative) procedures are given.
  • Keywords
    Multivariable polynomials; Transfer function techniques; Algebra; Equations; Geometry; Helium; Laboratories; Lagrangian functions; Polynomials; Stability criteria;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1978.1084545
  • Filename
    1084545