{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:24:33Z","timestamp":1760235873023,"version":"build-2065373602"},"reference-count":56,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,9,30]],"date-time":"2021-09-30T00:00:00Z","timestamp":1632960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, we study the solvability conditions and the general solution of a system of matrix equations involving \u03b7-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.<\/jats:p>","DOI":"10.3390\/sym13101825","type":"journal-article","created":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T01:59:47Z","timestamp":1633917587000},"page":"1825","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Solvability Conditions and General Solution of a System of Matrix Equations Involving \u03b7-Skew-Hermitian Quaternion Matrices"],"prefix":"10.3390","volume":"13","author":[{"given":"Abdur","family":"Rehman","sequence":"first","affiliation":[{"name":"Department of Basic Sciences and Humanities, University of Engineering & Technology Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Israr Ali","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Namal University Mianwali, 30 Km Talagang Rd, Mianwali 42250, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rukhshanda","family":"Anjum","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Lahore, Lahore 54000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3360-4532","authenticated-orcid":false,"given":"Iftikhar","family":"Hussain","sequence":"additional","affiliation":[{"name":"Division of Engineering Management and Decision Sciences, College of Science and Engineering, Hamad Bin Khalifa University, Doha 34110, Qatar"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,30]]},"reference":[{"key":"ref_1","unstructured":"Caradus, S.R. 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