On computation of arbitrary integer powers for certain type of band matrices with Fibonacci numbers
type: Item
instance of: scholarly article
zbMATH Open document ID: 1338.65112
author: Takao Komatsu
author: Mitsugu Hirasaka
publication date: 2016-04-13T00:00:00Z
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 65F50
zbMATH DE Number: 6568454
zbMATH Keywords: generalized Fibonacci numbers
zbMATH Keywords: band matrices
zbMATH Keywords: integer powers
MaRDI profile type: Publication
title: On computation of arbitrary integer powers for certain type of band matrices with Fibonacci numbers
published in: Journal of Combinatorics and Number Theory
review text: The authors consider a special class of \(4k\)-square band matrices with the band width \(2k+1\). For these matrices they compute integral powers, whose entries are expressed in terms of generalized Fibonacci numbers \(G_n\).
reviewed by: Constantin Popa
description: scientific article; zbMATH DE number 6568454