Determinants and inverses of r-circulant matrices associated with a number sequence

被引：18

作者：

Bozkurt, Durmus ^{[1
]}

Tam, Tin-Yau ^{[2
]}

机构：

[1] Selcuk Univ, Dept Math, Konya, Turkey

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 10期

关键词：

r-circulant matrices; inverse; determinant; spectral norm; Frobenius norm; FIBONACCI; NORMS;

D O I：

10.1080/03081087.2014.941291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let W-n = circ(r) (W-1, W-2, ... , W-n) be the r -circulant matrix associated with the numbers defined by the recursive relation W-n = pW(n-1) + qW(n-2) with initial conditions W-0 = a and W-1 = b, where a, b, p, q is an element of Z and n >= 2. We obtain some formulas for the determinants and inverses of Wn. Some bounds for spectral norms of W-n are obtained as applications.

引用

页码：2079 / 2088

页数：10

共 9 条

[1]

Akbulak M, 2008, HACET J MATH STAT, V37, P89

[2] Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas Numbers [J].