Hessenberg matrices and the Pell and Perrin numbers

YILMAZ F., BOZKURT D.

JOURNAL OF NUMBER THEORY, vol.131, no.8, pp.1390-1396, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 131 Issue: 8
  • Publication Date: 2011
  • Doi Number: 10.1016/j.jnt.2011.02.002
  • Journal Name: JOURNAL OF NUMBER THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1390-1396
  • Keywords: Hessenberg matrix, Pell number, Perrin number, LUCAS-NUMBERS, BIPARTITE GRAPHS, FIBONACCI
  • Ankara Haci Bayram Veli University Affiliated: No

Abstract

In this paper, we investigate the Pell sequence and the Perrin sequence and we derive some relationships between these sequences and permanents and determinants of one type of Hessenberg matrices. (C) 2011 Elsevier Inc. All rights reserved.