journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2229 On a numerical approach to compute the powers of doubly Leslie matrices using Fibonacci-Horner decomposition and determinantal form Aloui Amal Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kénitra, Morocco Rachidi Mustapha Institute of Mathematics, UFMS, Campo Grande, INMA, Federal University of Mato Grosso do Sul, MS, 79070-900, Brazil 29 4 809 823 17 01 2026

In this paper we explore a numerical approach of the powers of doubly Leslie matrices, through the Fibonacci-Horner method and also using a determinantal form. Two algorithms for computing the entries of the powers of doubly Leslie matrix are built. In addition, Python programs are designed for both of these approaches. For illustrative purpose, some examples and applications are provided. 

 Fibonacci-Horner Doubly Leslie matrix Hessenberg matrix Determinant Weighted generalized Fibonacci sequences access open retracted no