The generalized Moore-Penrose inverse of the generalized Fibonacci matrix

S. Aydınyüz, M. Aşcı

In this study, we introduce the concept of generalized Moore-Penrose inverses for rectangular matrices whose elements are derived from generalized Fibonacci numbers. The matrix U ∈ Mm,n(C) represents a rectangular or square matrix formed by generalized Fibonacci numbers. Special numbers are obtained by selecting arbitrary values for the parameter p in the generalized Fibonacci sequence. For instance, choosing p=1 yields the usual Fibonacci matrix, while p=2 corresponds to the Pell matrix. Finally, we provide the Matlab code to compute the generalized Moore-Penrose inverse of such matrices. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 139-150