On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers

In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices [Formula: see text] and [Formula: see text] whose entries are the biperiodic Fibonacci and biperiodic Lucas numbers, respectively. Finally, we obtain lower and upper bounds for the spectral norms...

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Detalles Bibliográficos
Autores principales: Köme, Cahit, Yazlik, Yasin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5562781/
https://www.ncbi.nlm.nih.gov/pubmed/28867923
http://dx.doi.org/10.1186/s13660-017-1466-0
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author Köme, Cahit
Yazlik, Yasin
author_facet Köme, Cahit
Yazlik, Yasin
author_sort Köme, Cahit
collection PubMed
description In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices [Formula: see text] and [Formula: see text] whose entries are the biperiodic Fibonacci and biperiodic Lucas numbers, respectively. Finally, we obtain lower and upper bounds for the spectral norms of Kronecker and Hadamard products of Q and L matrices.
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spelling pubmed-55627812017-09-01 On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers Köme, Cahit Yazlik, Yasin J Inequal Appl Research In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices [Formula: see text] and [Formula: see text] whose entries are the biperiodic Fibonacci and biperiodic Lucas numbers, respectively. Finally, we obtain lower and upper bounds for the spectral norms of Kronecker and Hadamard products of Q and L matrices. Springer International Publishing 2017-08-18 2017 /pmc/articles/PMC5562781/ /pubmed/28867923 http://dx.doi.org/10.1186/s13660-017-1466-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Köme, Cahit
Yazlik, Yasin
On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title_full On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title_fullStr On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title_full_unstemmed On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title_short On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
title_sort on the spectral norms of r-circulant matrices with the biperiodic fibonacci and lucas numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5562781/
https://www.ncbi.nlm.nih.gov/pubmed/28867923
http://dx.doi.org/10.1186/s13660-017-1466-0
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