Displaying similar documents to “The minimal polynomial of a commutator”

On the computation of the minimal polynomial of a polynomial matrix

Nicholas Karampetakis, Panagiotis Tzekis (2005)

International Journal of Applied Mathematics and Computer Science

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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.

Solving quadratic equations over polynomial rings of characteristic two.

Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)

Publicacions Matemàtiques

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We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation antn + ...+ a0 = 0 with coefficients ai in A, our problem is to find its roots in A. We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction,...