{"id":"https://openalex.org/W2171467378","doi":"https://doi.org/10.1137/s0363012902411015","title":"The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints","display_name":"The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2171467378","doi":"https://doi.org/10.1137/s0363012902411015","mag":"2171467378"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012902411015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012902411015","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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/A5004826461","display_name":"Kazufumi Ito","orcid":"https://orcid.org/0000-0003-2417-2600"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kazufumi Ito","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.5634,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.98488513,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"43","issue":"1","first_page":"357","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9976000189781189,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7395398020744324},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.7241073250770569},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6831583976745605},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6475350856781006},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6228910684585571},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5773303508758545},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5437343120574951},{"id":"https://openalex.org/keywords/active-set-method","display_name":"Active set method","score":0.4855506122112274},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4469701647758484},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.41901493072509766},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.32638782262802124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2061121165752411},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.20461353659629822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7395398020744324},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7241073250770569},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6831583976745605},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6475350856781006},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6228910684585571},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5773303508758545},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5437343120574951},{"id":"https://openalex.org/C195064452","wikidata":"https://www.wikidata.org/wiki/Q2823740","display_name":"Active set method","level":4,"score":0.4855506122112274},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4469701647758484},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.41901493072509766},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.32638782262802124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2061121165752411},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.20461353659629822},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012902411015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012902411015","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W589445562","https://openalex.org/W1539280904","https://openalex.org/W1554302165","https://openalex.org/W1669104078","https://openalex.org/W1977135073","https://openalex.org/W1992688650","https://openalex.org/W2017466123","https://openalex.org/W2022088322","https://openalex.org/W2022585151","https://openalex.org/W2026365342","https://openalex.org/W2049069909","https://openalex.org/W2067547116","https://openalex.org/W2070584352","https://openalex.org/W2073045642","https://openalex.org/W2141163505","https://openalex.org/W4231147659"],"related_works":["https://openalex.org/W4253768562","https://openalex.org/W2010155752","https://openalex.org/W944359287","https://openalex.org/W1988593674","https://openalex.org/W4225541581","https://openalex.org/W3213405290","https://openalex.org/W2088765246","https://openalex.org/W2614442631","https://openalex.org/W2051111399","https://openalex.org/W2019128690"],"abstract_inverted_index":{"The":[0],"primal-dual":[1,41,57],"active":[2,42,58],"set":[3,43,59],"method":[4,44,60,70],"has":[5,22],"proved":[6],"to":[7,33],"be":[8],"an":[9],"efficient":[10],"numerical":[11],"tool":[12],"in":[13],"the":[14,34,40,52,56,69],"context":[15],"of":[16,36,39,68],"diverse":[17],"applications.":[18],"So":[19],"far":[20],"it":[21],"been":[23],"investigated":[24,72],"mainly":[25],"for":[26,45],"linear":[27],"problems.":[28],"This":[29],"paper":[30],"is":[31,71],"devoted":[32],"study":[35],"global":[37],"convergence":[38,67],"nonlinear":[46],"problems":[47],"with":[48],"bilateral":[49],"constraints.":[50],"Utilizing":[51],"close":[53],"relationship":[54],"between":[55],"and":[61],"semismooth":[62],"Newton":[63],"methods,":[64],"local":[65],"superlinear":[66],"as":[73],"well.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
