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On the computation of the minimal polynomial of a polynomial matrix

Nicholas Karampetakis; Panagiotis Tzekis — 2005

International Journal of Applied Mathematics and Computer Science

The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.

On the computation of the GCD of 2-D polynomials

Panagiotis Tzekis; Nicholas Karampetakis; Haralambos Terzidis — 2007

International Journal of Applied Mathematics and Computer Science

The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.

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