On the Computation of the Minimum Polynomial and Applications

Halidias, Nikolaos (2022) On the Computation of the Minimum Polynomial and Applications. Asian Research Journal of Mathematics, 18 (11). pp. 301-319. ISSN 2456-477X

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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.

Item Type: Article
Uncontrolled Keywords: Minimum polynomial; characteristic polynomial; exponential matrix; Drazin inverse;Leverrier - Faddeev algorithm
Subjects: SCI Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 03 Nov 2022 11:37
Last Modified: 29 Jul 2024 05:45
URI: http://science.classicopenlibrary.com/id/eprint/44

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