Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers
The purpose of this paper is to investigate the bounds of the spectral norms of some circulant matrices whose elements are a generalization of Jacobsthal–Lucas numbers called bi-periodic Jacobsthal–Lucas numbers by three different ways. We also present the sum of entries; the maximum column sum matr...
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| Language: | English |
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World Scientific Publishing
2025-01-01
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| Series: | Mathematics Open |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2811007225500075 |
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| author | Sukran Uygun |
| author_facet | Sukran Uygun |
| author_sort | Sukran Uygun |
| collection | DOAJ |
| description | The purpose of this paper is to investigate the bounds of the spectral norms of some circulant matrices whose elements are a generalization of Jacobsthal–Lucas numbers called bi-periodic Jacobsthal–Lucas numbers by three different ways. We also present the sum of entries; the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrices. Then, we evaluate bounds for the spectral norms of Kronecker and Hadamard products of some circulant matrices with bi-periodic Jacobsthal–Lucas numbers. Finally, we give the eigenvalues for circulant matrices with bi-periodic Jacobsthal–Lucas numbers. |
| format | Article |
| id | doaj-art-006fa40069644f478faebcc7a1bea8f6 |
| institution | Kabale University |
| issn | 2811-0072 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Mathematics Open |
| spelling | doaj-art-006fa40069644f478faebcc7a1bea8f62025-08-20T03:51:07ZengWorld Scientific PublishingMathematics Open2811-00722025-01-010410.1142/S2811007225500075Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbersSukran Uygun0Department of Mathematics, Science and Art Faculty, Gaziantep University, Campus 27310, Gaziantep, TurkeyThe purpose of this paper is to investigate the bounds of the spectral norms of some circulant matrices whose elements are a generalization of Jacobsthal–Lucas numbers called bi-periodic Jacobsthal–Lucas numbers by three different ways. We also present the sum of entries; the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrices. Then, we evaluate bounds for the spectral norms of Kronecker and Hadamard products of some circulant matrices with bi-periodic Jacobsthal–Lucas numbers. Finally, we give the eigenvalues for circulant matrices with bi-periodic Jacobsthal–Lucas numbers.https://www.worldscientific.com/doi/10.1142/S2811007225500075Jacobsthal–Lucas numberscirculant matrixgeometric circulant matrixeigenvaluenorm |
| spellingShingle | Sukran Uygun Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers Mathematics Open Jacobsthal–Lucas numbers circulant matrix geometric circulant matrix eigenvalue norm |
| title | Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers |
| title_full | Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers |
| title_fullStr | Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers |
| title_full_unstemmed | Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers |
| title_short | Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers |
| title_sort | some bounds for the spectral norms of some circulant matrices with generalized jacobsthal lucas numbers |
| topic | Jacobsthal–Lucas numbers circulant matrix geometric circulant matrix eigenvalue norm |
| url | https://www.worldscientific.com/doi/10.1142/S2811007225500075 |
| work_keys_str_mv | AT sukranuygun someboundsforthespectralnormsofsomecirculantmatriceswithgeneralizedjacobsthallucasnumbers |