• DocumentCode
    813546
  • Title

    A symmetric matrix criterion for polynomial root clustering

  • Author

    Taub, Hedi ; Gutman, Shaul

  • Author_Institution
    Technion, Haifa, Israel
  • Volume
    37
  • Issue
    2
  • fYear
    1990
  • fDate
    2/1/1990 12:00:00 AM
  • Firstpage
    243
  • Lastpage
    248
  • Abstract
    The authors construct a test for the roots of a polynomial to lie in a certain algebraic region. This test uses only polynomial operations, is based on symmetric matrices, and involves n inequalities. The authors extend the results to region intersection and show the connection to generalized Bezoutians
  • Keywords
    matrix algebra; polynomials; algebraic region; generalized Bezoutians; polynomial operations; polynomial root clustering; region intersection; symmetric matrices; symmetric matrix criterion; Circuits and systems; Eigenvalues and eigenfunctions; Mathematics; Mechanical engineering; Polynomials; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.45716
  • Filename
    45716