Hessenberg matrices and the Pell and Perrin numbers

被引:31
作者
Yilmaz, Fatih [1 ]
Bozkurt, Durmus [1 ]
机构
[1] Selcuk Univ, Fac Sci, Dept Math, TR-42250 Campus Konya, Turkey
关键词
Hessenberg matrix; Pell number; Perrin number; LUCAS-NUMBERS; BIPARTITE GRAPHS; FIBONACCI;
D O I
10.1016/j.jnt.2011.02.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:1390 / 1396
页数:7
相关论文
共 6 条
[1]  
KAYGISIZ K, ARS COMBIN IN PRESS
[2]  
Kilic E, 2010, ARS COMBINATORIA, V96, P275
[3]  
Kilic E, 2008, ARS COMBINATORIA, V89, P31
[4]   k-Lucas numbers and associated bipartite graphs [J].
Lee, GY .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 320 (1-3) :51-61
[5]  
LEHMER DH, 1975, FIBONACCI QUART, V12, P150
[6]  
MINC H, 1978, PERMANENTS ENCY MATH, V6