{"id":"https://openalex.org/W1564078679","doi":"https://doi.org/10.1109/cdc.2002.1184595","title":"GloptiPoly: global optimization over polynomials with Matlab and SeDuMi","display_name":"GloptiPoly: global optimization over polynomials with Matlab and SeDuMi","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1564078679","doi":"https://doi.org/10.1109/cdc.2002.1184595","mag":"1564078679"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184595","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074893139","display_name":"Didier Henrion","orcid":"https://orcid.org/0000-0001-6735-7715"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"D. Henrion","raw_affiliation_strings":["LAAS-CNRS Toulouse FR, \u00d9TIA-AV\u010cR Praha CZ, France","Lab. d'Autom. et. d'Anal. des Syst., CNRS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS Toulouse FR, \u00d9TIA-AV\u010cR Praha CZ, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"Lab. d'Autom. et. d'Anal. des Syst., CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006670993","display_name":"Jean B. Lasserre","orcid":"https://orcid.org/0000-0003-0860-9913"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J.-B. Lasserre","raw_affiliation_strings":["LAAS-CNRS Toulouse FR, France","Lab. d'Autom. et. d'Anal. des Syst., CNRS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS Toulouse FR, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"Lab. d'Autom. et. d'Anal. des Syst., CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074893139"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"],"apc_list":null,"apc_paid":null,"fwci":4.7743,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.95276968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"1","issue":null,"first_page":"747","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.7364013195037842},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7142348289489746},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6724709272384644},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6145473718643188},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5994771122932434},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.596082329750061},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5582152605056763},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5370982885360718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5296218991279602},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.500037670135498},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.49983930587768555},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47411730885505676},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4739929437637329},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4538038372993469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.371913343667984},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3696954846382141},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08736327290534973}],"concepts":[{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.7364013195037842},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7142348289489746},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6724709272384644},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6145473718643188},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5994771122932434},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.596082329750061},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5582152605056763},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5370982885360718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5296218991279602},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.500037670135498},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.49983930587768555},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47411730885505676},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4739929437637329},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4538038372993469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.371913343667984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3696954846382141},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08736327290534973},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2002.1184595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184595","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.2.837","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.837","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.univie.ac.at/~neum/glopt/mss/HenL02.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.219.2809","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.2809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.laas.fr/~henrion/Papers/gloptipoly.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.678.8066","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.678.8066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2002/02/447.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1505246359","https://openalex.org/W1518383689","https://openalex.org/W1530875908","https://openalex.org/W1563737017","https://openalex.org/W1564078679","https://openalex.org/W1571070457","https://openalex.org/W1589786325","https://openalex.org/W1698110770","https://openalex.org/W1806104592","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1985123706","https://openalex.org/W1997672673","https://openalex.org/W2007250461","https://openalex.org/W2049143039","https://openalex.org/W2050875740","https://openalex.org/W2077223725","https://openalex.org/W2077508398","https://openalex.org/W2104369644","https://openalex.org/W2133404041","https://openalex.org/W2317988884","https://openalex.org/W2498144272","https://openalex.org/W2912522929","https://openalex.org/W3144358832","https://openalex.org/W6679392325"],"related_works":["https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W1895744421","https://openalex.org/W2347536774","https://openalex.org/W1996579463","https://openalex.org/W2398688349"],"abstract_inverted_index":{"GloptiPoly":[0],"is":[1,50,78],"a":[2,23,37],"Matlab/SeDuMi":[3],"add-on":[4],"to":[5,28,44],"build":[6],"and":[7,52,68],"solve":[8],"convex":[9],"linear":[10],"matrix":[11],"inequality":[12],"relaxations":[13],"of":[14,21,39,65],"the":[15,45,66,73,75],"(generally":[16],"non-convex)":[17],"global":[18,46,76],"optimization":[19],"problem":[20],"minimizing":[22],"multivariable":[24],"polynomial":[25,29],"function":[26],"subject":[27],"inequality,":[30],"equality":[31],"or":[32],"integer":[33],"constraints.":[34],"It":[35],"generates":[36],"series":[38],"lower":[40],"bounds":[41],"monotonically":[42],"converging":[43],"optimum.":[47],"Global":[48],"optimality":[49],"detected":[51],"isolated":[53],"optimal":[54],"solutions":[55],"are":[56],"extracted":[57],"automatically.":[58],"Numerical":[59],"experiments":[60],"show":[61],"that":[62],"for":[63],"most":[64],"small-":[67],"medium-scale":[69],"problems":[70],"described":[71],"in":[72],"literature,":[74],"optimum":[77],"reached":[79],"at":[80],"low":[81],"computational":[82],"cost.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
