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The results are general and the particular cases of some Loeplitz and Foeplitz matrices considered in the recent literature can be easily derived.<\/jats:p>","DOI":"10.1093\/jigpal\/jzaf003","type":"journal-article","created":{"date-parts":[[2025,1,13]],"date-time":"2025-01-13T23:16:37Z","timestamp":1736810197000},"source":"Crossref","is-referenced-by-count":1,"title":["The determinants and the inverses of the $\\left ( \\frac{2a }{k^{2}+2},a,a\\right ) $-$L_{k}$-Toeplitz and the $(2,k^{2}+2,k^{2}+2)$-$ F_{k} $-Toeplitz matrices"],"prefix":"10.1093","volume":"33","author":[{"given":"Carlos M","family":"da Fonseca","sequence":"first","affiliation":[{"name":"Kuwait College of Science and Technology , Doha District, Safat 13133, Kuwait; Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Kliment Ohridski Blvd. 8, 1000 Sofia, Bulgaria; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, 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