• DocumentCode
    831970
  • Title

    Eigenvalues of symmetric matrices: System theory conditions for distinctness

  • Author

    Dickinson, Bradley W. ; Steiglitz, Kenneth

  • Author_Institution
    Princeton University, Princeton, NJ, USA
  • Volume
    25
  • Issue
    2
  • fYear
    1980
  • fDate
    4/1/1980 12:00:00 AM
  • Firstpage
    284
  • Lastpage
    285
  • Abstract
    We derive the interlacing properties of the eigenvalues of a symmetric matrix with those of its largest principal submatrix using root-locus ideas. We then give a sufficient condition for distinctness of eigenvalues based on the minimality of an associated linear system.
  • Keywords
    Controllability; Eigenvalues; Linear systems, time-invariant continuous-time; Matrices; Observability; Controllability; Eigenvalues and eigenfunctions; Linear matrix inequalities; Linear systems; Observability; Polynomials; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102293
  • Filename
    1102293
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=831970