• DocumentCode
    1184180
  • Title

    and ö. Hüseyin; Relative primeness of multidimensional polynomial matrices

  • Author

    Ozguler, B. ; Sezer, E. ; Huseyin, O.

  • Volume
    27
  • Issue
    8
  • fYear
    1980
  • fDate
    8/1/1980 12:00:00 AM
  • Firstpage
    729
  • Lastpage
    732
  • Abstract
    A sufficient condition is given for the relative primeness (RP\´ness) of two multidimensional polynomial matrices A(s_1, \\cdots ,s_p) and B(s_1,\\cdots ,s_p) of sizes \\sigma \\times r and \\kappa \\times r , such that (i) \\kappa + \\sigma is greater than r , (ii) there are r rows of A(s_1, \\cdots ,s_p) and B(s_1, \\cdots ,s_p) which form a nonsingular matrix. The sufficient condition is in the form of a rank test on a constant matrix having block Toeplitz structure and becomes both necessary and sufficient in the scalar case.
  • Keywords
    Multivariable polynomials; Polynomial matrices; Circuit synthesis; Circuit theory; Matrix converters; Multidimensional systems; Network synthesis; Notice of Violation; Polynomials; Resistors; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1980.1084868
  • Filename
    1084868
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1184180