{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,19]],"date-time":"2026-04-19T08:14:00Z","timestamp":1776586440744,"version":"3.51.2"},"reference-count":29,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2024,9,30]]},"DOI":"10.1137\/23m1597733","type":"journal-article","created":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T09:09:10Z","timestamp":1724317750000},"page":"1599-1620","source":"Crossref","is-referenced-by-count":2,"title":["Growth Factors of Orthogonal Matrices and Local Behavior of Gaussian Elimination with Partial and Complete Pivoting"],"prefix":"10.1137","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3215-6531","authenticated-orcid":true,"given":"John","family":"Peca-Medlin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Arizona, Tucson, AZ 85721 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,8,22]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.22017"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/0907012"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479898343541"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896309912"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/21M1424408"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF02162514"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1988.11972038"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/15M1020575"},{"key":"ref10","first-page":"58","volume":"2","author":"Edelman A.","year":"1992","journal-title":"Math. J."},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/23M1571903"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/0612025"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718027"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/0610012"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/20M1338149"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-024-01276-2"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1002\/nla.637"},{"key":"ref20","first-page":"592","volume":"54","author":"Mezzadri F.","year":"2007","journal-title":"Notices Amer. Math. Soc."},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1214\/23-AAP2023"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/22M148762X"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479803436202"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1145\/1562764.1562785"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/0611023"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719574"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1017\/9781108231596"},{"key":"ref28","volume-title":"Actualit\u00e9s Scientifiques et Industrielles 869","author":"Weil A.","year":"1940"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1145\/321075.321076"},{"key":"ref30","volume-title":"The Algebraic Eigenvalue Problem","author":"Wilkinson J.","year":"1965"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-44-01108-7"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T09:10:12Z","timestamp":1724317812000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1597733"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,22]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,9,30]]}},"alternative-id":["10.1137\/23M1597733"],"URL":"https:\/\/doi.org\/10.1137\/23m1597733","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,8,22]]}}}