On the Computation of the Minimum Polynomial and Applications
Nikolaos Halidias · Asian Research Journal of Mathematics · 2022
Aims/Objectives: In this review article we study the computation of the minimum polynomialof a matrix A and how we can use it for the computation of the matrix An. We also describethe form of the elements of the matrix A-n and we will see that it is closely related with thecomputation of the Drazin generalized inverse of A. Next we study the computation of theexponential matrix and nally we give a simple proof of the Leverrier - Faddeev algorithm forthe computation of the characteristic polynomial.