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An algorithm for the calculation of the minimal polynomial

Białas S., Białas M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2008

Vol. 56, nr 4

391-393

This paper gives the simple algorithm for calculation of the degree and coefficients of the minimal polynomial for the complex matrix A = [aij ]n×n.

On the computation of the minimal polynomial of a polynomial matrix

Karampetakis P., Tzekis P.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 3

339-349

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.