KYUNGPOOK Math. J. 2019; 59(3): 505-513
Published online September 23, 2019
Copyright © Kyungpook Mathematical Journal.
A New Aspect of Comrade Matrices by Reachability Matrices
Maryam Shams Solary
Received: February 22, 2018; Revised: January 22, 2019; Accepted: January 26, 2019
In this paper, we study orthanogonal polynomials by looking at their comrade matrices and reachability matrices. First, we focus on the algebraic structure that is exhibited by comrade matrices. Then, we explain some properties of this algebraic structure which helps us to find a connection between comrade matrices and reachability matrices. In the last section, we use this connection to determine the determinant, eigenvalues, and eigenvectors of these matrices. Finally, we derive a factorization for