IJPAM: Volume 112, No. 1 (2017)

Title

ON THE BOUNDS FOR THE NORMS OF R-CIRCULANT
MATRICES WITH THE JACOBSTHAL AND JACOBSTHAL
LUCAS NUMBERS

Authors

Ş. Uygun$^1$, S. Yaşamalı$^2$
$^{1,2}$Department of Mathematics
Science and Art Faculty
Gaziantep University
Campus, 27310, Gaziantep, TURKEY

Abstract

In this study, we have found upper and lower bounds for the spectral norms of circulant matrices in the forms $A=C_{r}(j_{0},j_{1},...,j_{n-1})$ and $B=C_{r}(c_{0},c_{1},...,c_{n-1}).$ After that we obtain some bounds related to the spectral norms of Hadamard and Kronecker product of these matrices.

History

Received: June 25, 2016
Revised: January 11, 2017
Published: January 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 15A36, 15A45, 15A60
Key Words and Phrases: Jacobsthal number, Jacobsthal Lucas number, circulant matrix, norm

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How to Cite?

DOI: 10.12732/ijpam.v112i1.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 1
Pages: 93 - 102


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