{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T07:14:14Z","timestamp":1787382854508,"version":"3.56.0"},"reference-count":3,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[1996,10]]},"abstract":"<jats:p>It is well known from the work of Brown and Halmos [J. Reine Angew. Math., 213 (1963\/1964), pp. 89\u2013102] that an infinite Toeplitz matrix is normal if and only if it is a rotation and translation of a Hermitian Toeplitz matrix. In the present article we prove that all finite normal Toeplitz matrices are either generalised circulants or are obtained from Hermitian Toeplitz matrices by rotation and translation.<\/jats:p>","DOI":"10.1137\/s0895479895287080","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T07:15:07Z","timestamp":1109488507000},"page":"1037-1043","source":"Crossref","is-referenced-by-count":24,"title":["Normal Toeplitz Matrices"],"prefix":"10.1137","volume":"17","author":[{"given":"Douglas R.","family":"Farenick","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mark","family":"Krupnik","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Naum","family":"Krupnik","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Woo Young","family":"Lee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","first-page":"89","volume":"213","author":"Brown Arlen","year":"1963","journal-title":"J. Reine Angew. Math."},{"key":"R2","first-page":"473","volume":"34","author":"Ikramov Kh. D.","year":"1994","journal-title":"Zh. Vychisl. Mat. i Mat. Fiz."},{"key":"R3","volume-title":"Hankel and Toeplitz matrices and forms","author":"Iohvidov I. S.","year":"1982"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479895287080","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:35:55Z","timestamp":1787319355000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895479895287080"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,10]]},"references-count":3,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1996,10]]}},"alternative-id":["10.1137\/S0895479895287080"],"URL":"https:\/\/doi.org\/10.1137\/s0895479895287080","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,10]]}}}