Some particular matrices and their characteristic polynomials

被引:6
|
作者
Bahsi, Mustafa [1 ]
Solak, Suleyman [2 ]
机构
[1] Aksaray Univ, Fac Educ, Aksaray, Turkey
[2] NE Univ, AK Educ Fac, Konya, Turkey
来源
LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 10期
关键词
characteristic polynomial; principal minor; generalized Fibonacci number; FIBONACCI; NUMBERS;
D O I
10.1080/03081087.2014.940940
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we consider n x n particular matrices A(k) = (a(ij)) and B-k = (b(ij)) whose entries are a(ij) = k + min(i, j) - 1 and b(ij) = k + max(i, j) - 1, respectively, where k is a real number. We derive relationships between generalized Fibonacci numbers and the characteristic polynomials of these matrices.
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页码:2071 / 2078
页数:8
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