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Research Article Open access CC BY 4.0

On the Computation of the Minimum Polynomial and Applications

Nikolaos Halidias

Asian Research Journal of Mathematics · pp. 301–319 · Published 21 Oct 2022

10.9734/arjom/2022/v18i11603

Abstract

Aims/Objectives: In this review article we study the computation of the minimum polynomial of a matrix A and how we can use it for the computation of the matrix An. We also describe the form of the elements of the matrix A-n and we will see that it is closely related with the computation of the Drazin generalized inverse of A. Next we study the computation of the exponential matrix and nally we give a simple proof of the Leverrier - Faddeev algorithm for the computation of the characteristic polynomial.

Minimum polynomial characteristic polynomial exponential matrix Drazin inverse Leverrier - Faddeev algorithm

Cited by 1

Computing the Minimum Polynomial, the Function and the Drazin Inverse of a Matrix with Matlab

Nikolaos Halidias · Asian Journal of Research in Computer Science · 2024

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