• DocumentCode
    1194752
  • Title

    The solution of the two-dimensional polynomial equation b(z_1,z_2)f(z_1,z_2) + a(z_1,z_2)g(z_1,z_2) = h(z_1,z_2)

  • Author

    Lai, Yhean-Sen

  • Volume
    33
  • Issue
    5
  • fYear
    1986
  • fDate
    5/1/1986 12:00:00 AM
  • Firstpage
    542
  • Lastpage
    544
  • Abstract
    This paper proposes an algorithm for finding the solution of the two-dimensional (2-D) Diophantine equation. The solution, when it exists, is not unique. However, the solution with minimal degrees is unique and can be achieved by this algorithm. An example is given to illustrate the procedure. The method is also applied to determine if two polynomial functions are zero coprime (ZC) or not. They can be readily extended to three- or higher dimensional cases.
  • Keywords
    Multivariable functions; Polynomials; Circuits and systems; Control systems; Equations; Polynomials; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1986.1085937
  • Filename
    1085937
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1194752