• DocumentCode
    1151683
  • Title

    Construction of a Hermitian Toeplitz matrix from an arbitrary set of eigenvalues

  • Author

    Noor, F. ; Morgera, S.D.

  • Author_Institution
    Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
  • Volume
    40
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    2093
  • Lastpage
    2094
  • Abstract
    A solution to the inverse eigenvalue problem for Hermitian Toeplitz matrices is presented. The approach taken is to first construct a real symmetric negacyclic matrix of order 2n and to then relate the negacyclic matrix to a Hermitian Toeplitz matrix of order n with the desired eigenspectrum
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; Hermitian Toeplitz matrix; eigenspectrum; inverse eigenvalue problem; real symmetric negacyclic matrix; Councils; Discrete transforms; Eigenvalues and eigenfunctions; Mathematics; Signal processing; Stochastic processes; Symmetric matrices; Vehicles;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.149978
  • Filename
    149978