The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries

The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries

Improved estimates for spectral norms of circulant matrices are investigated, and the entries are binomial coefficients combined with either Fibonacci numbers or Lucas numbers. Employing the properties of given circulant matrices, this paper improves the inequalities for their spectral norms, and ge...

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Main Author: Jianwei Zhou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/672398
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spelling doaj-bf278f6d1226467794c014eea0c1f2e92020-11-24T23:04:17ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/672398672398The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers EntriesJianwei Zhou0Department of Mathematics, Linyi University, Linyi 276005, ChinaImproved estimates for spectral norms of circulant matrices are investigated, and the entries are binomial coefficients combined with either Fibonacci numbers or Lucas numbers. Employing the properties of given circulant matrices, this paper improves the inequalities for their spectral norms, and gets corresponding identities of spectral norms. Moreover, by some well-known identities, the explicit identities for spectral norms are obtained. Some numerical tests are listed to verify the results.http://dx.doi.org/10.1155/2014/672398
collection DOAJ
language English
format Article
sources DOAJ
author Jianwei Zhou
spellingShingle Jianwei Zhou
The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
Journal of Function Spaces
author_facet Jianwei Zhou
author_sort Jianwei Zhou
title The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
title_short The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
title_full The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
title_fullStr The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
title_full_unstemmed The Identical Estimates of Spectral Norms for Circulant Matrices with Binomial Coefficients Combined with Fibonacci Numbers and Lucas Numbers Entries
title_sort identical estimates of spectral norms for circulant matrices with binomial coefficients combined with fibonacci numbers and lucas numbers entries
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description Improved estimates for spectral norms of circulant matrices are investigated, and the entries are binomial coefficients combined with either Fibonacci numbers or Lucas numbers. Employing the properties of given circulant matrices, this paper improves the inequalities for their spectral norms, and gets corresponding identities of spectral norms. Moreover, by some well-known identities, the explicit identities for spectral norms are obtained. Some numerical tests are listed to verify the results.
url http://dx.doi.org/10.1155/2014/672398
work_keys_str_mv AT jianweizhou theidenticalestimatesofspectralnormsforcirculantmatriceswithbinomialcoefficientscombinedwithfibonaccinumbersandlucasnumbersentries
AT jianweizhou identicalestimatesofspectralnormsforcirculantmatriceswithbinomialcoefficientscombinedwithfibonaccinumbersandlucasnumbersentries
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