• DocumentCode
    2406339
  • Title

    Inverse problems for orthogonal matrices, Toda flows, and signal processing

  • Author

    Faybusovich, L. ; Ammar, G.S. ; Gragg, W.B.

  • Author_Institution
    Dept. of Math., Notre Dame Univ., IN, USA
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    1488
  • Abstract
    The authors consider Toda flows induced on the set of orthogonal upper Hessenberg matrices. The explicit formulas for the evolution of Schur parameters are given. Since Schur parameters determine orthogonal Hessenberg matrices uniquely, an explicit description is obtained of the evolution of a given orthogonal Hessenberg matrix under the Toda flow
  • Keywords
    inverse problems; matrix algebra; polynomials; signal processing; Schur parameters; Toda flows; explicit description; orthogonal matrices; signal processing; upper Hessenberg matrices; Autocorrelation; Eigenvalues and eigenfunctions; Fluid flow measurement; Frequency; Inverse problems; Mathematics; Polynomials; Signal processing; Symmetric matrices; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371167
  • Filename
    371167