A Method to Construct Generalized Fibonacci Sequences. (14th February 2016)

• Record Type: Journal Article
• Authors: García-Máynez, Adalberto; Acosta, Adolfo Pimienta
• Other Names: Peterson Allan C. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2016(2016)
• Publication Date: 2016-02-14
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2016/4971594
• Languages: English
• ISSNs: 1110-757X

Abstract

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 ans × s real matrixA are real and different, we give a necessary and sufficient condition for the convergence of the matrix sequenceA, A 2, A 3, … to a matrixB .