{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T01:12:44Z","timestamp":1767575564238,"version":"3.45.0"},"reference-count":15,"publisher":"Oxford University Press (OUP)","issue":"6","license":[{"start":{"date-parts":[[2024,5,10]],"date-time":"2024-05-10T00:00:00Z","timestamp":1715299200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,11,25]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>In this note, we define a symmetric Toeplitz matrix whose entries are from a particular Horadam sequence. We provide the determinant, the inverse and a factorization for such matrices and their special cases. These matrices are always nonsingular and their inverses are pentadiagonal matrices.<\/jats:p>","DOI":"10.1093\/jigpal\/jzae065","type":"journal-article","created":{"date-parts":[[2024,4,3]],"date-time":"2024-04-03T20:13:56Z","timestamp":1712175236000},"source":"Crossref","is-referenced-by-count":2,"title":["The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries"],"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.Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, , c.dafonseca@kcst.edu.kw","place":["Spain"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Can","family":"K\u0131z\u0131late\u015f","sequence":"additional","affiliation":[{"name":"Zonguldak B\u00fclent Ecevit Un\u0131vers\u0131ty , Department of Mathematics, Zonguldak, 67100, , cankizilates@gmail.com","place":["Turkey"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nazl\u0131han","family":"Terzio\u011flu","sequence":"additional","affiliation":[{"name":"Zonguldak B\u00fclent Ecevit Un\u0131vers\u0131ty , Department of Mathematics, Zonguldak, 67100, , nazlihanterzioglu@gmail.com","place":["Turkey"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2024,5,10]]},"reference":[{"key":"2025111910320978500_ref1","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1515\/spma-2015-0008","article-title":"Determinants and inverses of circulant matrices with complex Fibonacci numbers","volume":"3","author":"Alt\u0131n\u0131\u015f\u0131k","year":"2015","journal-title":"Special Matrices"},{"key":"2025111910320978500_ref2","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1080\/10236198.2019.1709180","article-title":"A matrix approach to some second-order difference equations with 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