Title of article :
ON GENERALIZED FIBONACCI AND LUCAS NUMBERS BY MATRIX METHODS
Author/Authors :
Cerda-Morales, Gamaliel Pontificia Universidad Catolica de Valparasio - Institute of Mathematics, Chile
Abstract :
In this study we define the generalized Lucas V (p, q)-matrix similar to the generalized Fibonacci U(1, -1)-matrix. The V (p, q)-matrix is different from the Fibonacci U(p, q)-matrix, but is related to it. Using this matrix representation, we have found some well-known equalities and a Binet-like formula for the generalized Fibonacci and Lucas numbers.
Keywords :
Matrix methods , generalized Lucas numbers , Binet s formula.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
