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 :
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