On k-circulant Matrices with the Lucas Numbers

被引：2

作者：

Radicic, Biljana ^{[1
]}

机构：

[1] Singidunum Univ, Belgrade, Serbia

来源：

FILOMAT | 2018年 / 32卷 / 11期

关键词：

k-circulant matrix; Lucas numbers; eigenvalues; Euclidean norm; spectral norm; SPECTRAL NORM; FIBONACCI;

D O I：

10.2298/FIL1811037R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a nonzero complex number. In this paper, we determine the eigenvalues of a k-circulant matrix whose first row is (L-1 , L-2 , . . , L-n ), where L n is the nth Lucas number, and improve the result which can be obtained from the result of Theorem 7. [28]. The Euclidean norm of such matrix is obtained. Bounds for the spectral norm of a k-circulant matrix whose first row is (L-1(-1) , L2, . . . , -1L (-1)(n) ) are also investigated. The obtained results are illustrated by examples.

引用

页码：4037 / 4046

页数：10

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