{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T16:38:26Z","timestamp":1774715906208,"version":"3.50.1"},"reference-count":77,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/100000879","name":"Alfred P. Sloan Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000879","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000185","name":"Defense Advanced Research Projects Agency","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000185","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006785","name":"Google","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006785","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Algebra Geometry"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1137\/18m118935x","type":"journal-article","created":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T11:43:53Z","timestamp":1555415033000},"page":"193-230","source":"Crossref","is-referenced-by-count":134,"title":["DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization"],"prefix":"10.1137","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1590-7281","authenticated-orcid":true,"given":"Amir Ali","family":"Ahmadi","sequence":"first","affiliation":[]},{"given":"Anirudha","family":"Majumdar","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2019,4,16]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/j.disopt.2016.04.004"},{"key":"atypb2","first-page":"27","author":"Ahmadi A. A.","year":"2017","journal-title":"RI"},{"key":"atypb4","first-page":"1","author":"Ahmadi A. A.","year":"2014","journal-title":"NJ"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-015-0894-3"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-002-0339-5"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1007\/BF02952513"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-07-00589-9"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1975.57.15"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2012.656114"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2162878"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1287\/opre.50.2.358.424"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623401399903"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2005.03.029"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020209017701"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-405X(97)00035-4"},{"key":"atypb23","first-page":"201","author":"Burer S.","year":"2012","journal-title":"New York"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1007\/BF01166704"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1137\/050645506"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623401383248"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-008-0246-5"},{"key":"atypb29","first-page":"197","author":"De Loera J. A.","year":"2008","journal-title":"New York"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2011.08.007"},{"key":"atypb31","first-page":"225","author":"Dias G.","year":"2016","journal-title":"New York"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.187904"},{"key":"atypb34","first-page":"3071","author":"Domahidi A.","year":"2013","journal-title":"Proceedings of the IEEE European Control Conference, IEEE, Piscataway, NJ"},{"key":"atypb35","first-page":"3","author":"D\u00fcr M.","year":"2010","journal-title":"New York"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2003.12.011"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1137\/090746525"},{"key":"atypb41","first-page":"1","volume":"17","author":"Gupta M. R.","year":"2016","journal-title":"J. Mach. Learn. Res."},{"key":"atypb42","first-page":"3261","volume":"14","author":"Hannah L.","year":"2013","journal-title":"J. Mach. Learn. Res."},{"key":"atypb44","first-page":"102","author":"Harrison J.","year":"2007","journal-title":"New York"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1137\/080730287"},{"key":"atypb46","first-page":"565","author":"Henrion D.","year":"2012","journal-title":"New York"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1007\/BF01443605"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1109\/59.76723"},{"key":"atypb50","first-page":"4676","author":"Jarvis-Wloszek Z.","year":"2003","journal-title":"NJ"},{"key":"atypb52","doi-asserted-by":"publisher","DOI":"10.1007\/BF02807438"},{"key":"atypb53","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-010-0353-y"},{"key":"atypb54","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400366802"},{"key":"atypb57","doi-asserted-by":"publisher","DOI":"10.1007\/s13675-015-0050-y"},{"key":"atypb58","first-page":"157","author":"Laurent M.","year":"2009","journal-title":"New York"},{"key":"atypb59","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-00200-2_7"},{"key":"atypb61","doi-asserted-by":"publisher","DOI":"10.1137\/120875909"},{"key":"atypb62","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(98)10032-0"},{"key":"atypb63","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1979.1055985"},{"key":"atypb64","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7039413"},{"key":"atypb65","doi-asserted-by":"publisher","DOI":"10.3182\/20110828-6-IT-1002.03069"},{"key":"atypb66","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2010.936020"},{"key":"atypb67","doi-asserted-by":"publisher","DOI":"10.1007\/s11081-011-9176-9"},{"key":"atypb71","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592948"},{"key":"atypb72","first-page":"405","author":"Nesterov Y.","year":"2000","journal-title":"Dordrecht"},{"key":"atypb73","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-005-0672-6"},{"key":"atypb74","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2006.07.002"},{"key":"atypb75","doi-asserted-by":"publisher","DOI":"10.1137\/110825844"},{"key":"atypb77","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2007.12.027"},{"key":"atypb79","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0387-5"},{"key":"atypb81","first-page":"83","author":"Parrilo P. A.","year":"2003","journal-title":"RI"},{"key":"atypb83","first-page":"141","volume":"73","author":"P\u00f3lya G.","year":"1928","journal-title":"Vierteljschr. Naturforsch. Ges. Z\u00fcrich"},{"key":"atypb84","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1040.0137"},{"key":"atypb85","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1993.42.42045"},{"key":"atypb86","first-page":"249","volume":"1","author":"Raymond A.","year":"2018","journal-title":"Algebr. Comb."},{"key":"atypb87","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442738"},{"key":"atypb88","first-page":"251","author":"Reznick B.","year":"2000","journal-title":"RI"},{"key":"atypb89","first-page":"345","author":"Reznick B.","year":"2011","journal-title":"New York"},{"key":"atypb90","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1120.0558"},{"key":"atypb91","first-page":"264","author":"Robinson R. M.","year":"1973","journal-title":"Sibirsk. Otdel., Novosibirsk"},{"key":"atypb93","doi-asserted-by":"publisher","DOI":"10.1007\/BF00138693"},{"key":"atypb95","first-page":"364","author":"Salgado E.","year":"2018","journal-title":"Cham"},{"key":"atypb96","doi-asserted-by":"publisher","DOI":"10.1007\/BF01070233"},{"key":"atypb97","doi-asserted-by":"publisher","DOI":"10.1007\/BF01362149"},{"key":"atypb99","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2007.910261"},{"key":"atypb100","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2033751"},{"key":"atypb101","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2008.07.025"},{"key":"atypb102","doi-asserted-by":"publisher","DOI":"10.1137\/1038003"},{"key":"atypb103","doi-asserted-by":"publisher","DOI":"10.1007\/s12532-015-0082-6"},{"key":"atypb104","doi-asserted-by":"publisher","DOI":"10.1137\/080718206"},{"key":"atypb106","doi-asserted-by":"publisher","DOI":"10.1198\/106186006X113430"}],"container-title":["SIAM Journal on Applied Algebra and Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/18M118935X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T14:55:30Z","timestamp":1558450530000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M118935X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":77,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2019,4,2]]},"published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/18M118935X"],"URL":"https:\/\/doi.org\/10.1137\/18m118935x","relation":{},"ISSN":["2470-6566"],"issn-type":[{"value":"2470-6566","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}