On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions

On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions

In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions. Firstly, we give some properties of exponential forms and trigonometric functions. Furthermore...

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Main Author: Baijuan Shi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/2079104
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spelling doaj-bc92ac7d43e94f8181e7c792e91a68582021-06-28T01:52:03ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/2079104On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric FunctionsBaijuan Shi0School of ScienceIn this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions. Firstly, we give some properties of exponential forms and trigonometric functions. Furthermore, we study Frobenius norms, the lower and upper bounds for the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions by some ingenious algebra methods, and then we obtain new refined results.http://dx.doi.org/10.1155/2021/2079104
collection DOAJ
language English
format Article
sources DOAJ
author Baijuan Shi
spellingShingle Baijuan Shi
On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics
author_facet Baijuan Shi
author_sort Baijuan Shi
title On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
title_short On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
title_full On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
title_fullStr On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
title_full_unstemmed On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
title_sort on the norms of rfmlr-circulant matrices with the exponential and trigonometric functions
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions. Firstly, we give some properties of exponential forms and trigonometric functions. Furthermore, we study Frobenius norms, the lower and upper bounds for the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions by some ingenious algebra methods, and then we obtain new refined results.
url http://dx.doi.org/10.1155/2021/2079104
work_keys_str_mv AT baijuanshi onthenormsofrfmlrcirculantmatriceswiththeexponentialandtrigonometricfunctions
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