{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T19:39:49Z","timestamp":1760384389742},"reference-count":48,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2005,1]]},"DOI":"10.1137\/s1052623403426507","type":"journal-article","created":{"date-parts":[[2005,3,3]],"date-time":"2005-03-03T02:00:22Z","timestamp":1109815222000},"page":"461-487","source":"Crossref","is-referenced-by-count":58,"title":["Error Estimates for Approximate Optimization by the Extended Ritz Method"],"prefix":"10.1137","volume":"15","author":[{"given":"Vera","family":"Kurkov\u00e1","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marcello","family":"Sanguineti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1109\/9.802911"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1109\/72.991413"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1080\/10556780512331318245"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01449031"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1950-0051437-7"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1109\/9.948480"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1109\/72.925553"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1109\/18.256500"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1080\/002071798221542"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/S0065-2539(08)60946-4"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623495287022"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1137\/0710011"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1109\/18.256506"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1109\/9.384214"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1287\/opre.47.1.38"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-01-00923-5"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1137\/0311004"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1007\/BF01171759"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-001-4021-8"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1995.7.2.219"},{"key":"R40","doi-asserted-by":"publisher","DOI":"10.1109\/72.883426"},{"key":"R41","doi-asserted-by":"publisher","DOI":"10.1137\/0712063"},{"issue":"3","key":"R43","first-page":"106","author":"Holmes R. B.","year":"1966","journal-title":"Nieuw Archief voor Wiskunde"},{"key":"R45","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176348546"},{"key":"R46","doi-asserted-by":"publisher","DOI":"10.1287\/opre.41.3.484"},{"key":"R47","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00119-1"},{"key":"R48","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623402401233"},{"key":"R49","first-page":"313","volume":"10","author":"Kainen P. C.","year":"2000","journal-title":"Neural Network World"},{"key":"R54","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(97)00028-2"},{"key":"R55","doi-asserted-by":"publisher","DOI":"10.1109\/18.945285"},{"key":"R56","doi-asserted-by":"publisher","DOI":"10.1109\/18.971754"},{"key":"R58","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(98)00039-2"},{"key":"R59","first-page":"764","volume":"168","author":"Levitin E. S.","year":"1966","journal-title":"Dokl. Akad. Nauk SSSR","ISSN":"http:\/\/id.crossref.org\/issn\/0002-3264","issn-type":"print"},{"key":"R60","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(98)00087-5"},{"key":"R61","doi-asserted-by":"publisher","DOI":"10.1109\/72.572089"},{"key":"R62","doi-asserted-by":"publisher","DOI":"10.1109\/72.80202"},{"key":"R64","doi-asserted-by":"publisher","DOI":"10.1080\/002071798222271"},{"key":"R65","doi-asserted-by":"publisher","DOI":"10.1109\/72.286914"},{"key":"R66","doi-asserted-by":"publisher","DOI":"10.1109\/9.506245"},{"key":"R69","first-page":"536","volume":"50","author":"Poggio T.","year":"2003","journal-title":"Notices Amer. Math. Soc."},{"key":"R70","first-page":"72","volume":"166","author":"Polak B. T.","year":"1966","journal-title":"Dokl. Akad. Nauk SSSR","ISSN":"http:\/\/id.crossref.org\/issn\/0002-3264","issn-type":"print"},{"key":"R73","doi-asserted-by":"publisher","DOI":"10.1007\/BF00933141"},{"key":"R74","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00120-8"},{"key":"R75","first-page":"247","volume":"14","author":"Tjuhtin V. B.","year":"1982","journal-title":"Vestnik Leningrad Univ. Math."},{"key":"R76","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623495294797"},{"key":"R78","first-page":"12","volume":"3","author":"Vladimirov A. A.","year":"1978","journal-title":"Vestnik Moskov. Univ. Ser. 15 Vychisl. Mat. Kibernet."},{"key":"R79","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623497319225"},{"key":"R81","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013662124879"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S1052623403426507","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T16:07:27Z","timestamp":1485706047000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S1052623403426507"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,1]]},"references-count":48,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,1]]}},"alternative-id":["10.1137\/S1052623403426507"],"URL":"https:\/\/doi.org\/10.1137\/s1052623403426507","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,1]]}}}