• DocumentCode
    830130
  • Title

    Root clustering of a complex matrix in an algebraic region

  • Author

    Gutman, Shaul

  • Author_Institution
    Technion-Israel Institute of Technology, Haifa, Israel
  • Volume
    24
  • Issue
    4
  • fYear
    1979
  • fDate
    8/1/1979 12:00:00 AM
  • Firstpage
    647
  • Lastpage
    650
  • Abstract
    Necessary and sufficient conditions are given for the eigenvalues of a complex matrix to lie in an algebraic region of the complex plane. These conditions are in terms of rational functions of the matrix coefficients, and are given either by Kronecker product matrices or by positive definite matrices. Finally, we remark on recent results concerning root clustering in a sector.
  • Keywords
    Eigenvalues; Matrices; Polynomials; Computational modeling; Decision making; Differential equations; Eigenvalues and eigenfunctions; Polynomials; Stability; Stochastic systems; Sufficient conditions; Symmetric matrices; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1102109
  • Filename
    1102109
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=830130