{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T13:26:20Z","timestamp":1780406780232,"version":"3.54.1"},"reference-count":29,"publisher":"Oxford University Press (OUP)","issue":"6","license":[{"start":{"date-parts":[[2024,3,18]],"date-time":"2024-03-18T00:00:00Z","timestamp":1710720000000},"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 the present study, inspired by the studies in the literature, we consider Min matrix and its Hadamard exponential matrix family whose elements are Chebyshev polynomials of the first kind. Afterwards, we examine their various linear algebraic properties and obtain some inequalities. Furthermore, we shed light on the results we obtained to boost the clarity of our paper with the illustrative examples. In addition to all these, we give two MATLAB-R2023a codes that compute the Min matrix and the Hadamard exponential matrix with Chebyshev polynomials of the first kind entries, as well as calculate some matrix norms.<\/jats:p>","DOI":"10.1093\/jigpal\/jzae028","type":"journal-article","created":{"date-parts":[[2024,2,16]],"date-time":"2024-02-16T00:52:59Z","timestamp":1708044779000},"source":"Crossref","is-referenced-by-count":1,"title":["Some results for min matrices associated with Chebyshev polynomials"],"prefix":"10.1093","volume":"33","author":[{"given":"Fatih","family":"Yilmaz","sequence":"first","affiliation":[{"name":"Department of Mathematics , Ankara Hac\u0131 Bayram Veli University, Ankara, 6900, Turkey, fatih.yilmaz@hbv.edu.tr"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Samet","family":"Arpaci","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Ankara Hac\u0131 Bayram Veli University, Ankara, 6900, Turkey, samet.arpaci@hbv.edu.tr"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ayb\u00fcke","family":"Erta\u015f","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Ankara Hac\u0131 Bayram Veli University, Ankara, 6900, Turkey, aybuke.ertas@hbv.edu.tr"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2024,3,18]]},"reference":[{"key":"2025111910321173300_ref1","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1080\/00029890.2006.11920300","article-title":"Infinitely divisible matrices","volume":"113","author":"Bhatia","year":"2006","journal-title":"The American Mathematical Monthly"},{"key":"2025111910321173300_ref2","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1007\/s00283-010-9194-z","article-title":"Min matrices and mean matrices","volume":"33","author":"Bhatia","year":"2011","journal-title":"The Mathematical Intelligencer"},{"key":"2025111910321173300_ref3","doi-asserted-by":"crossref","first-page":"35929","DOI":"10.1109\/ACCESS.2020.2975067","article-title":"A comprehensive survey on geometric deep learning","volume":"8","author":"Cao","year":"2020","journal-title":"IEEE Access"},{"key":"2025111910321173300_ref4","article-title":"A particular matrix and its relationships with Fibonacci numbers","author":"Catalani"},{"key":"2025111910321173300_ref5","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/s00362-010-0363-0","article-title":"Problem section","volume":"52","author":"Chu","year":"2011","journal-title":"Statistical Papers"},{"key":"2025111910321173300_ref6","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/j.cam.2005.08.047","article-title":"On the eigenvalues of some tridiagonal matrices","volume":"200","author":"Da Fonseca","year":"2007","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"2025111910321173300_ref7","doi-asserted-by":"crossref","first-page":"421","DOI":"10.2298\/FIL2402421F","article-title":"A new generalization of min and max matrices and their reciprocals counterparts","volume":"3","author":"da Fonseca","year":"2024","journal-title":"Filomat"},{"key":"2025111910321173300_ref8","doi-asserted-by":"crossref","first-page":"127","DOI":"10.30931\/jetas.979932","article-title":"Special real and dual matrices with Hadamard product","volume":"6.2","author":"Da\u011fdeviren","year":"2021","journal-title":"Journal of Engineering Technology and Applied Sciences"},{"key":"2025111910321173300_ref9","first-page":"869","article-title":"SplineCNN: fast geometric deep learning with continuous B - 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