Nikolaos Halidias

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

Aims/ Objectives: In this note we will discuss the known (but not well known) problem of finding the minimum polynomial and the function of a matrix providing the simplest proofs for undergraduate students. We will try to explain with fairly simple arguments how to compute the mi...

Open access Research Article 10.9734/ajrcos/2024/v17i5433

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 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 com...

Open access Research Article 10.9734/arjom/2022/v18i11603

An Elementary Approach to the Option Pricing Problem

Nikolaos Halidias · Asian Research Journal of Mathematics · 2016

Our goal here is to discuss the pricing problem of European and American options in discrete time using elementary calculus so as to be an easy reference for first year undergraduate students. Using the binomial model we compute the fair price of European and American options. We...

Open access Research Article 10.9734/ARJOM/2016/26251