{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T18:27:54Z","timestamp":1740162474191,"version":"3.37.3"},"reference-count":30,"publisher":"Informa UK Limited","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2023,7,3]]},"DOI":"10.1080\/10586458.2021.1980457","type":"journal-article","created":{"date-parts":[[2021,10,26]],"date-time":"2021-10-26T18:05:47Z","timestamp":1635271547000},"page":"477-501","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":2,"title":["Empirical Properties of Optima in Free Semidefinite Programs"],"prefix":"10.1080","volume":"32","author":[{"given":"Eric","family":"Evert","sequence":"first","affiliation":[{"name":"Group Science, Engineering and Technology, KU Leuven Kulak, Kortrijk, Belgium;;"},{"name":"Electrical Engineering ESAT\/STADIUS, KU Leuven, Leuven, Belgium;;"}]},{"given":"Yi","family":"Fu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of California, San Diego, CA;;"}]},{"given":"J.","family":"William Helton","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of California, San Diego, CA;;"}]},{"given":"John","family":"Yin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Wisconsin, Madison, WI"}]}],"member":"301","published-online":{"date-parts":[[2021,10,26]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392388"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-07-00570-X"},{"volume-title":"Optimization of Polynomials in Noncommuting Variables","year":"2016","author":"Burgdorf S.","key":"CIT0003"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-3165004"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rnaa228"},{"key":"CIT0006","first-page":"159","volume":"53","author":"Dritschel M. A.","year":"2005","journal-title":"J. Operator Theory"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2017.09.033"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-019-01858-9"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1007\/s12220-017-9866-4"},{"key":"CIT0010","unstructured":"Evert, E., de Oliveira, M., Yin, J., and Helton, J. W. (2019). NCSE 1.0: An NCAlgebra for optimization over free spectrahedra, Available at Available at: https:\/\/github.com\/NCAlgebra\/UserNCNotebooks\/tree\/master\/NCSpectrahedronExtreme"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610799008613"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.06.020"},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.1137\/16M1100642"},{"key":"CIT0014","unstructured":"Hartz, M., Lupini, M. Dilation theory in finite dimensions and matrix convexity, preprint https:\/\/arxiv.org\/abs\/1910.03549"},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0525-z"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2012.176.2.6"},{"key":"CIT0017","first-page":"425","volume":"21","author":"Helton J. W.","year":"2014","journal-title":"J. Convex Anal"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2017087"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/199"},{"key":"CIT0020","doi-asserted-by":"publisher","DOI":"10.7900\/jot.2011oct22.1927"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1007\/s11785-019-00937-8"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-6942-5"},{"key":"CIT0023","first-page":"31","volume":"240","author":"Netzer T.","year":"2019","journal-title":"Int. Math. Nachrichten"},{"key":"CIT0024","unstructured":"de Oliveira, M., Helton, J. W., Miller, B., and Stankus, M. (2017). NCAlgebra 5.04: A noncommutative algebra package for Mathematica, Available online, Nov. Available at: https:\/\/github.com\/NCAlgebra"},{"key":"CIT0025","volume-title":"Completely Bounded Maps and Operator Algebras, Cambridge Studies in Advanced Mathematics","volume":"78","author":"Paulsen V.","year":"2002"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1007\/BF01100204"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2018.12.002"},{"key":"CIT0028","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2017.11.011"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-99-02364-8"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2016.07.043"}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2021.1980457","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,29]],"date-time":"2023-08-29T02:56:57Z","timestamp":1693277817000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2021.1980457"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,26]]},"references-count":30,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,7,3]]}},"alternative-id":["10.1080\/10586458.2021.1980457"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2021.1980457","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"type":"print","value":"1058-6458"},{"type":"electronic","value":"1944-950X"}],"subject":[],"published":{"date-parts":[[2021,10,26]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2021-10-26","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}