{“id”:“https://openalex.org/W2981781020“,”doi“:”https://doi.org/10.1137/18m1193657“,”title“:”包含MaxCut SDP的椭圆的半定优化中的严格互补“,”display_name“:”含MaxCut SPP的椭圆半定优化的严格互补”,“publication_year”:2019,“publiation_date”:“2019-01-01”,“ids”:{“openalex”:“https://openalex.org/W2981781020“,”doi“:”https://doi.org/10.1137/18m1193657“,”mag“:”2981781020“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/18m1193657“,”pdf_url“:null,”source“:{”id“:”https://openalex.org/S928796702“,”display_name“:”SIAM journal on optimization“,”issn_l“:”1052-6234“,”isn“:[”1052-642“,”1095-7189“],”is_oa“:false,”is_ in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310320508“,”“host_organization_name”:“工业与应用数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业和应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nully,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]any_repository_has_fulltext“:false},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5056193235“,”display_name“:”Marcel K.de Carli Silva“,”orcid“:”https://orcid.org/0000-0002-0466-4280“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Marcel K.de Carli Silva“,”raw_affiliation_strings“:[],“从属关系”:[]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5062941227“,”display_name“:”Levent Tun\u00e7el“,”orcid“:null},”institutions“:[],”countries“:[],”is_corresponding“:false,”raw_author_name“,”Levent Tun\u00 e7el”,“raw_affiliation_strings”:[]“affiliations”:[]}],“countries_distinact_count”:0,“institutions_distictions_disticant_count“:0,”corresponding_author_ids“:[ds“:[],”apc_list“:null,”apc_payd“:null,”fwci“:1.086,”has_fulltext“:false,”cited_by_count“:4,”ciped_by_percentile_year“:{”min“:80,”max“:82},”biblio“:{volume“:”29“,”issue“:”4“,”first_page“:”2650“,”last_page“:“2676”},“is_retracted”:false、“is_paratext”:false,“primary_topic”:{“id”:“https://openalex.org/T10963“,”“display_name”:“数值优化技术”,“score”:0.9989,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”Physical Sciences“}},”topics“:[{”id“:”https://openalex.org/T10963“,”“display_name”:“数值优化技术”,“score”:0.9989,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”Numerical Analysis“},”field“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9985,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10500“,”display_name“:”压缩传感理论与应用“,”score“:0.9891,”subfield“:{”id“:”https://openalex.org/subfields/2206“,”display_name“:”计算力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/convex优化“,”display_name“:”凸优化“,”score“:0.571584},{”id“:”https://openalex.org/keywords/semidefinite-programming网站“,”display_name“:”半定规划“,”score“:0.56823},{”id“:”https://openalex.org/keywords/matrix-completion“,”display_name“:”矩阵完成“,”score“:0.546697},{”id“:”https://openalex.org/keywords/orthonal-matching-presture“,”display_name“:”正交匹配追踪“,”score“:0.529304},{”id“:”https://openalex.org/keywords/近似算法“,”display_name“:”近似算法“,”score“:0.502434}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.87831986},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.66702396},{”id“:”https://openalex.org/C101901036,“wikidata”:https://www.wikidata.org/wiki/Q2269096“,”display_name“:”半定规划“,”level“:2,”score“:0.57295007},{”id“:”https://openalex.org/C80899671,“wikidata”:https://www.wikidata.org/wiki/Q1304193“,”display_name“:”Vertex(图论)“,”level“:3,”score“:0.45550773},{”id“:”https://openalex.org/C79187972,“wikidata”:https://www.wikidata.org/wiki/Q2654791“,”display_name“:”圆锥优化“,”level“:5,”score“:0.43006182},{”id“:”https://openalex.org/C112680207,“wikidata”:https://www.wikidata.org/wiki/Q714886“,”display_name“:”正多边形“,”level“:2,”score“:0.42346454},{”id“:”https://openalex.org/C157972887,“wikidata”:https://www.wikidata.org/wiki/Q463359“,”display_name“:”凸优化“,”level“:3,”score“:0.34957397},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.32851872},{”id“:”https://openalex.org/C132525143,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Graph“,”level“:2,”score“:0.27483827},{”id“:”https://openalex.org/C49870271,“wikidata”:https://www.wikidata.org/wiki/Q193657“,”display_name“:”凸集“,”level“:4,”score“:0.26782614},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.23288366},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/18m1193657“,”pdf_url“:null,”source“:{”id“:”https://openalex.org/S928796702“,”display_name“:”SIAM journal on optimization“,”issn_l“:”1052-6234“,”isn“:[”1052-642“,”1095-7189“],”is_oa“:false,”is_ in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310320508“,”host_organization_name“:”工业与应用数学学会“,”host_organization_lineage“:[”https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业与应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null',“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[],“grants”:{“funder”:”https://openalex.org/F4320306076“,”funder_display_name“:”国家科学基金会“,”award_id“:”CCF-1740425“},{”funder“:”https://openalex.org/F4320320997“,”funder_display_name“:”Funda\u00e7\u00e3o de Amparo\u00e0 Pesquisa do Estado de S\u00e3o Paulo“,”award_id“:”2013/03447-6“},{”funder“:”https://openalex.org/F4320321091“,”“funder_display_name”:“Coordena\u00e7\u00e3o de Aperfei\u00e 7oamento de Pessoal de N\u00edvel Superior”,“award_id”:null},{“funder”:“https://openalex.org/F432032025“,”funder_display_name“:”Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico“,”award_id“:”477203/2012-4“}“,{”funder“:”https://openalex.org/F432032025“,”funder_display_name“:”Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico“,”award_id“:”456792/2014-7“}“,{”funder“:”https://openalex.org/F4320334593“,”“funder_display_name”:“加拿大自然科学与工程研究委员会”,“award_id”:null},{“funder”:“https://openalex.org/F4320337345“,”“funder_display_name”:“海军研究办公室”,“award_id”:“N00014-18-1-2078”},{“funder”:“https://openalex.org/F4320337345“,”“funder_display_name”:“海军研究办公室”,“award_id”:“N00014-15-2171”}],“数据集”:[],“版本”:[[],“referenced_works_count”:26,“referrenced_works”:[”https://openalex.org/W1588330761","https://openalex.org/W1964603869","https://openalex.org/W1964916956","https://openalex.org/W1976962893","https://openalex.org/W1977327182","https://openalex.org/W1980610004","https://openalex.org/W1985123706","https://openalex.org/W2003324738","https://openalex.org/W2012110988","https://openalex.org/W2017712277","https://openalex.org/W2022004439","https://openalex.org/W2040321731","https://openalex.org/W2042092751","https://openalex.org/W2045148236","https://openalex.org/W2056571280","https://openalex.org/W2058497129","https://openalex.org/W2062180200","https://openalex.org/W2084681714","https://openalex.org/W2092812429","https://openalex.org/W2093340362","https://openalex.org/W2114408464","https://openalex.org/W2161361710","https://openalex.org/W2314571435","https://openalex.org/W2964117365","https://openalex.org/W2964300938","https://openalex.org/W4242576170“],”related_works“:[”https://openalex.org/W653291882","https://openalex.org/W4225397084","https://openalex.org/W3142913680","https://openalex.org/W2962693888","https://openalex.org/W2951159355","https://openalex.org/W2941778749","https://openalex.org/W2941716933","https://openalex.org/W2747249330","https://openalex.org/W2040313627","https://openalex.org/W2034825464“],”ngrams_url“:”https://api.openalex.org/works/W2981781020/ngrams“,”“abstract_inverted_index”:{“The”:[0,30],“MaxCut”:[1,21280],“approximation”:[2119],“algorithm”:[3],“by”:[4,70110115],“Goemans”:[5111],“and”:[6,18,42,72112125191289306],“Williamson”:[7113],“is”:[8,54,87101148155160168],“one”:[9],“of”:[10,33,36,49,65,82,91,97172188197227243251 275291312],““:[11,19,55,63,94122152165170173195208234249252258276279],“大多数”:[12],“著名”:[13],“结果”:[14],“in”:[15,74169248265],“半定”:[16,2245],“优化”:[17],“对应”:[20],“最优化”:[23129215],“问题”:[24124],“(SDP)”:[25],“属性。“:[29],”可行“:[31],”区域“:[32],”此“:[34202],”类“:[35242],”SDP“:[37142204],”是“:[38237],”已知“:[39161],”作为“:[40,68],”省略号“:[41],”它们“:[43],”有“:[44],”被“:[45],”研究“:[46],”广泛。“:[47],”One“:[48],”their“:[50,58],”nicest“:[51],”geometrical/diability“:[52],”properties“:[53],”fact“:[56],”that“:[57,77181260],”vertices“:59],”corresponse“:[60],”exactly“:[61],”to“:[62117162224287310],”cuts“:[64],”a“:[66,78,83,89146186213241272284],”graph“:[67],”conved“:[69],“Laurent”:[71288],“Poljak”:[73290],“1995.”:[75],“Recall”:[76],“边界”:[79196250],“点”:[80],“$x$”:[81100],“凸”:[84214],“集”:[85],“$\\mathscr{C}$”:+86,92,98],“调用”:[88],“顶点”:[90147],“if”:[93],“正常”:[95174199253],“圆锥体”:[96175254],“at”:[99176194255],“全维”:[102],“半定”:[103],“程序”“:[104],”over“:[105143205],”elliptopes“:[106144206],”were“:[107],“同时”:[108218],“被利用”:[109],“内斯特罗夫”:[116],“开发”:[118],“算法”:[120],“用于”:[1212141212278295303],“最大2-可满足性”:[123],“非凸”:[127],“二次”:[128],“问题”:[130],“分别”。“:[131],“我们”:[132217230],”研究“:[133219270],”如何“:[134],”经常“:[135],”严格“:[136158220261297],“互补性”用法:[137159221262298],“保持”:[138263],“或”:[139],“失败”:[140183],“当”:[145151164233],,“最佳”,:[149],“即”:[150],“SDP”:[153],“松弛”:[154],“紧密”:[156],“While”:[157],“保留”:[163],“目标”:[166228235],“函数”:[167],“内部”:[171],“任意”:[177256],“顶点,“:[178257],”我们“:[179282307],“证明”:[180],“它”:[182309],“一般”:[184],“(in”:[185],“context”:[187],“Hausdorff”:[189192],“measure”:[190],“dimension)”:[193],“such”:[198],“cones.”:[200],“in”:[201],“arepect”:[203],“display”:[207],“nastist”:[209],“behavior”:[210],“possible”:[211],“problem.”:[216],“with”:2271],“尊重”:[223],“两个”:[225],“类”:[226],“函数。”:[229],“显示”:[231],“那”,:[232],“函数”:[236],“采样”:[238],“一致”:[239],“自”:[240],“负”:[244],“秩一”:[246],“矩阵”:[247294],“概率”:[259],“谎言”:[264],“$(0,1)$.”:[266],“收件人”:[267],“完成”:[268304],,“数据”:[277],“SDP”:[281],“扩展”:[283308],“构造”:[285301],“到期”:[286],“weighted”:[292],“Laplacian”:[293],“which”:[296],“failures.”:[299],“Their”:[300],“works”:[302],“graphs”,“:[305],“cosums”:[311],“graphs”:[3]13],“under”:[34],“some”:[316],“conditions”。:[317]},“cited_by_api_url”:“https://api.openalex.org/works?filter=cites:W2981781020“,”counts_by_year“:[{“年份”:2024,”cited_by_count“:1},{“年度”:2021,”ciped_by_cunt“:2},”{“年”:2020,“cited_by_count”:1}],”updated_date“:”2024-06-26T07:47:45.418105“,”created_dates“:”2019-11-01“}”