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

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 est...

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Detalles Bibliográficos
Autor principal: Shi, Baijuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760637/
https://www.ncbi.nlm.nih.gov/pubmed/29367826
http://dx.doi.org/10.1186/s13660-017-1608-4
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author Shi, Baijuan
author_facet Shi, Baijuan
author_sort Shi, Baijuan
collection PubMed
description 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.
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spelling pubmed-57606372018-01-22 The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers Shi, Baijuan J Inequal Appl Research 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. Springer International Publishing 2018-01-10 2018 /pmc/articles/PMC5760637/ /pubmed/29367826 http://dx.doi.org/10.1186/s13660-017-1608-4 Text en © The Author(s) 2018 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
Shi, Baijuan
The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title_full The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title_fullStr The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title_full_unstemmed The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title_short The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
title_sort spectral norms of geometric circulant matrices with the generalized k-horadam numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760637/
https://www.ncbi.nlm.nih.gov/pubmed/29367826
http://dx.doi.org/10.1186/s13660-017-1608-4
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