{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T13:10:12Z","timestamp":1756213812021,"version":"3.44.0"},"reference-count":28,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["FRG DMS-0757207","CCF-1565235"],"award-info":[{"award-number":["FRG DMS-0757207","CCF-1565235"]}],"id":[{"id":"10.13039\/100000001","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\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1352073","DMS-1901950"],"award-info":[{"award-number":["DMS-1352073","DMS-1901950"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000879","name":"Alfred P. Sloan Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000879","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2025,9,30]]},"DOI":"10.1137\/24m1655834","type":"journal-article","created":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T12:32:41Z","timestamp":1756211561000},"page":"1899-1913","source":"Crossref","is-referenced-by-count":0,"title":["Convex Ternary Quartics Are SOS-Convex"],"prefix":"10.1137","volume":"35","author":[{"given":"Amir Ali","family":"Ahmadi","sequence":"first","affiliation":[{"name":"Department of Operations Research and Financial Engineering at Princeton University."}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1845-4062","authenticated-orcid":true,"given":"Grigoriy","family":"Blekherman","sequence":"additional","affiliation":[{"name":"School of Mathematics at the Georgia Institute of Technology."}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1132-8477","authenticated-orcid":true,"given":"Pablo A.","family":"Parrilo","sequence":"additional","affiliation":[{"name":"Laboratory for Information and Decision Systems and the Department of Electrical Engineering and Computer Science at Massachusetts Institute of Technology."}]}],"member":"351","published-online":{"date-parts":[[2025,8,26]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/18M1172843"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-017-1144-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0499-2"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0457-z"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/110856010"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1112\/S0010437X12000437"},{"key":"ref10","series-title":"MOS-SIAM Series on Optimization 13","volume-title":"Semidefinite Optimization and Convex Algebraic Geometry","author":"Blekherman G.","year":"2013"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-020-00208-w"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2007857"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(75)90058-0"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01360024"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01215051"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/17M1143484"},{"key":"ref17","author":"Curmei M.","year":"2023","journal-title":"Oper. Res."},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/100814147"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/19M1287584"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-008-0240-y"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/BF01443605"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/080728214"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.04.009"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2012.07.042"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2004.09.014"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511566028"},{"key":"ref29","first-page":"251","volume-title":"Contemporary Mathematics","volume":"253","author":"Reznick B.","year":"2000"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0142-3_19"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2022.1273"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/272\/04408"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/BF01597353"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T12:32:45Z","timestamp":1756211565000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1655834"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,26]]},"references-count":28,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,9,30]]}},"alternative-id":["10.1137\/24M1655834"],"URL":"https:\/\/doi.org\/10.1137\/24m1655834","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,26]]}}}