On the generalized Perrin and Cordonnier matrices

Abstract

C o m m u n . Fa c . S c i. U n iv . A n k . S é r. A 1 M a th . S ta t. Vo lu m e 6 6 , N u m b e r 1 , P a g e s 2 4 2 -2 5 3 (2 0 1 7 ) D O I: 1 0 .1 5 0 1 / C o m m u a 1 _ 0 0 0 0 0 0 0 7 9 3 IS S N 1 3 0 3 -5 9 9 1 ON THE GENERALIZED PERRIN AND CORDONNIER MATRICES ADEMŞAH · INAbstract. In the present paper, we study the associated polynomials of Perrin and Cordonnier numbers. We de…ne generalized Perrin and Cordonnier matrices using these polynomials. We obtain the inverse of generalized Cordonnier matrices and give some relationships between generalized Perrin and Cordonnier matrices. In addition, we give a factorization of generalized Cordonnier matrices. Finally, we give some determinantal representation of associated polynomials Cordonnier numbers.