• DocumentCode
    1232856
  • Title

    Asymptotics of the Perron-Frobenius eigenvalue of nonnegative Hessenberg-Toeplitz matrices

  • Author

    Janssen, A. J E M

  • Author_Institution
    Philips Res. Lab., Eindhoven, Netherlands
  • Volume
    35
  • Issue
    6
  • fYear
    1989
  • fDate
    11/1/1989 12:00:00 AM
  • Firstpage
    1340
  • Lastpage
    1344
  • Abstract
    Asymptotic results for the Perron-Frobenius eigenvalue of a nonnegative Hessenberg-Toeplitz matrix as the dimension of the matrix tends to ∞ are given. The results are used and interpreted in terms of source entropies in the case where the Hessenberg-Toeplitz matrix arises as the transition matrix of a finite-state machine generating certain constrained sequences of ±1´s
  • Keywords
    eigenvalues and eigenfunctions; information theory; matrix algebra; Perron-Frobenius eigenvalue; asymptotic results; constrained sequences; finite-state machine; information theory; nonnegative Hessenberg-Toeplitz matrices; source entropies; transition matrix; Decoding; Delay; Eigenvalues and eigenfunctions; Entropy; Information theory;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.45297
  • Filename
    45297
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1232856