Title :
Computation of the general solution of a multivariate polynomial matrix Diophantine equation
Author :
Tzekis, P.A. ; Antoniou, E. ; Vologiannidis, S.
Author_Institution :
Dept. of Sci., Alexander Technol. Educ. Inst. of Thessaloniki, Thessaloniki, Greece
Abstract :
The algorithm presented in [21] provides a method for the computation of the general solution of a polynomial matrix Diophantine equation. In this work we extend this algorithm for the n-D PMDE. We present a method to efficiently address the division of multivariate polynomials. The theory is implemented via illustrative examples.
Keywords :
polynomial matrices; Diophantine equation; multivariate polynomial matrix; n-D PMDE; Electronic mail; Europe; Mathematical model; Polynomials; Standards; Vectors; Diophantine Equations; Multivariate Polynomial methods;
Conference_Titel :
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location :
Chania
Print_ISBN :
978-1-4799-0995-7
DOI :
10.1109/MED.2013.6608796