On Generalized Fibonacci And Lucas Numbers By Matrix Methods

Authors : Gamaliel CERDA-MORALES

Pages : 173-179

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Publication Date : 2013-02-01

Article Type : Other Papers

Abstract :In this study we define the generalized Lucas V insert ignore into journalissuearticles values(p, q);-matrix similar tothe generalized Fibonacci U insert ignore into journalissuearticles values(1, −1);-matrix. The V insert ignore into journalissuearticles values(p, q);-matrix is different from the Fibonacci U insert ignore into journalissuearticles values(p, q);-matrix, but is related to it. Using thismatrix representation, we have found some well-known equalities anda Binet-like formula for the generalized Fibonacci and Lucas numbers.
Keywords : Matrix methods, generalized Lucas numbers, Binets formula