{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T21:35:24Z","timestamp":1770068124430,"version":"3.49.0"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1137\/21m1422707","type":"journal-article","created":{"date-parts":[[2022,8,30]],"date-time":"2022-08-30T16:49:41Z","timestamp":1661878181000},"page":"2180-2207","source":"Crossref","is-referenced-by-count":4,"title":["Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions"],"prefix":"10.1137","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5597-9557","authenticated-orcid":true,"given":"Joong-Ho","family":"Won","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6438-5091","authenticated-orcid":true,"given":"Teng","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Hua","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2022,8,30]]},"reference":[{"key":"atypb1","volume-title":"Group Synchronization on Grids, preprint, arXiv:1706.08561","author":"Abbe E.","year":"2017"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1109\/3DIMPVT.2012.46"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1109\/3DV.2016.64"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-1059-6"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-0993-7"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/16M105808X"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6760038"},{"key":"atypb8","first-page":"1","volume":"3","author":"Boumal N.","year":"2013","journal-title":"Inf. Inference"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/130935458"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875186"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1093\/comnet\/cnu050"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/ias002"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-5849(01)80010-3"},{"key":"atypb14","volume-title":"Robustly, preprint, arXiv:1904.09635","author":"Fei Y.","year":"2019"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4948-7"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-019-00100-2"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/BF02291478"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2006.04.020"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2016.2540810"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974409"},{"key":"atypb21","volume-title":"Solving Orthogonal Group Synchronization via Convex and Low-rank Optimization: Tightness and Landscape Analysis, preprint, arxiv:2006.00902","author":"Ling S.","year":"2020"},{"key":"atypb22","volume-title":"Improved Performance Guarantees for Orthogonal Group Synchronization via Generalized Power Method, preprint, arXiv:2012.00470","author":"Ling S.","year":"2021"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1137\/18M1217644"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1137\/16M110109X"},{"key":"atypb25","volume-title":"A Unified Approach to Synchronization Problems Over Subgroups of the Orthogonal Group, preprint, arxiv:2009.07514","author":"Liu H.","year":"2020"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1137\/16M1106055"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.21750"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2010.02.001"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1137\/090767777"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294053"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.02.025"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1109\/CVPRW.2016.133"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iat005"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1137\/130916436"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1137\/20M1363388"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2017.03.002"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1137\/17M1122025"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2022,9,30]],"date-time":"2022-09-30T15:11:26Z","timestamp":1664550686000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1422707"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,30]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["10.1137\/21M1422707"],"URL":"https:\/\/doi.org\/10.1137\/21m1422707","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,30]]}}}