The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers

Abstract In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-Horadam numbers, and we obtain some...

Full description

Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Author: Baijuan Shi
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Subjects:
geometric circulant matrix
r-circulant matrix
generalized k-Horadam numbers
spectral norms
Euclidean norms
Online Access:http://link.springer.com/article/10.1186/s13660-017-1608-4
Description
Summary:Abstract In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-Horadam numbers, and we obtain some sharp estimations for them. We can also give a new estimation for the norms of a r-circulant matrix involving the generalized k-Horadam numbers.
ISSN:1029-242X

Similar Items