ON THE COMPUTATION OF THE MINIMAL POLYNOMIAL OF A POLYNOMIAL MATRIX
Nicholas P. Karampetakis, P. Tzekis
Abstract
Nicholas P. Karampetakis, P. Tzekis
Abstract
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.
OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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.
Key concepts: Matrix polynomial, Polynomial matrix, Wilkinson's polynomial, Stable polynomial, Computation, Polynomial, Univariate, Reciprocal polynomial