## Journal of Applied Mathematics

### A Method to Construct Generalized Fibonacci Sequences

#### Abstract

The main purpose of this paper is to study the convergence properties of Generalized Fibonacci Sequences and the series of partial sums associated with them. When the proper values of an $s\timess$ real matrix $A$ are real and different, we give a necessary and sufficient condition for the convergence of the matrix sequence $A,{A}^{\mathrm{2}},{A}^{\mathrm{3}},\dots$ to a matrix $B$.

#### Article information

Source
J. Appl. Math. Volume 2016 (2016), Article ID 4971594, 6 pages.

Dates
Accepted: 6 January 2016
First available in Project Euclid: 13 April 2016

https://projecteuclid.org/euclid.jam/1460554504

Digital Object Identifier
doi:10.1155/2016/4971594

Mathematical Reviews number (MathSciNet)
MR3465044

#### Citation

García-Máynez, Adalberto; Acosta, Adolfo Pimienta. A Method to Construct Generalized Fibonacci Sequences. J. Appl. Math. 2016 (2016), Article ID 4971594, 6 pages. doi:10.1155/2016/4971594. https://projecteuclid.org/euclid.jam/1460554504

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