• DocumentCode
    1193381
  • Title

    A Note on LSI polynomials and Comments on a ´Proof of a Modified form of Shanks´ Conjecture´

  • Author

    Karivaratharajan, P. ; Reddy, H.

  • Volume
    32
  • Issue
    9
  • fYear
    1985
  • fDate
    9/1/1985 12:00:00 AM
  • Firstpage
    966
  • Lastpage
    968
  • Abstract
    Least Square Inverse (LSI) polynomials are classified into optimal and suboptimal LSI polynomials and the stability of LSI polynomials are investigated in the light of this classification. It is shown that a recent proof of the modified form of Shanks´ conjecture is based on the stability of 1-D suboptimal LSI polynomials which is not guaranteed. This invalidates the proof and leaves the modified Shanks´ conjecture yet to be proved.
  • Keywords
    Autocorrelation; Circuits and systems; Computer aided software engineering; Equations; Large scale integration; Least squares approximation; Least squares methods; Polynomials; Stability; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1985.1085803
  • Filename
    1085803
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1193381