{"id":"https://openalex.org/W2736561270","doi":"https://doi.org/10.1007/s10898-017-0603-0","title":"Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property","display_name":"Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property","publication_year":2018,"publication_date":"2018-01-05","ids":{"openalex":"https://openalex.org/W2736561270","doi":"https://doi.org/10.1007/s10898-017-0603-0","mag":"2736561270"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-017-0603-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0603-0","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.05747","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. V. Dolgopolik","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I4210142628","display_name":"Institute of Problems of Mechanical Engineering","ror":"https://ror.org/047pt5178","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210142628","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"M. V. Dolgopolik","raw_affiliation_strings":["Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia","Saint Petersburg State University, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]},{"raw_affiliation_string":"Saint Petersburg State University, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172901346","https://openalex.org/I4210142628"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.7845,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73522118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"71","issue":"2","first_page":"237","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.580299973487854,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.580299973487854,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.4016999900341034,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.006099999882280827,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8528000116348267},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6650999784469604},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4652000069618225},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.4641000032424927},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.4560999870300293},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4465999901294708},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4339999854564667},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4284999966621399}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8528000116348267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8453999757766724},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6650999784469604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4936000108718872},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4668999910354614},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.4641000032424927},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.4560999870300293},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4465999901294708},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4339999854564667},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4284999966621399},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.38179999589920044},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.34200000762939453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C140619461","wikidata":"https://www.wikidata.org/wiki/Q190463","display_name":"Lagrangian point","level":2,"score":0.2614000141620636}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-017-0603-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0603-0","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1707.05747","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.05747","pdf_url":"https://arxiv.org/pdf/1707.05747","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jglopt:v:71:y:2018:i:2:d:10.1007_s10898-017-0603-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-017-0603-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.05747","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.05747","pdf_url":"https://arxiv.org/pdf/1707.05747","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":89,"referenced_works":["https://openalex.org/W36913435","https://openalex.org/W37633699","https://openalex.org/W102932032","https://openalex.org/W103965151","https://openalex.org/W116715942","https://openalex.org/W205965983","https://openalex.org/W646582900","https://openalex.org/W1431135779","https://openalex.org/W1488435683","https://openalex.org/W1514382660","https://openalex.org/W1601741115","https://openalex.org/W1720078559","https://openalex.org/W1964202598","https://openalex.org/W1964658432","https://openalex.org/W1966394100","https://openalex.org/W1970104012","https://openalex.org/W1970856396","https://openalex.org/W1971956105","https://openalex.org/W1974512477","https://openalex.org/W1974522165","https://openalex.org/W1977706621","https://openalex.org/W1978498881","https://openalex.org/W1979968848","https://openalex.org/W1981724380","https://openalex.org/W1984929374","https://openalex.org/W1986490170","https://openalex.org/W1992638455","https://openalex.org/W1997586153","https://openalex.org/W2002987466","https://openalex.org/W2004209776","https://openalex.org/W2004616048","https://openalex.org/W2007063035","https://openalex.org/W2012637151","https://openalex.org/W2018661363","https://openalex.org/W2019283948","https://openalex.org/W2019465420","https://openalex.org/W2025674539","https://openalex.org/W2026016914","https://openalex.org/W2027112008","https://openalex.org/W2029448249","https://openalex.org/W2031151776","https://openalex.org/W2032752826","https://openalex.org/W2036170323","https://openalex.org/W2037091587","https://openalex.org/W2038754896","https://openalex.org/W2039150338","https://openalex.org/W2040207507","https://openalex.org/W2042272764","https://openalex.org/W2042360648","https://openalex.org/W2043177638","https://openalex.org/W2046159525","https://openalex.org/W2047389848","https://openalex.org/W2048349057","https://openalex.org/W2051985810","https://openalex.org/W2056382574","https://openalex.org/W2056483341","https://openalex.org/W2062536941","https://openalex.org/W2066928702","https://openalex.org/W2071508510","https://openalex.org/W2072944004","https://openalex.org/W2074298306","https://openalex.org/W2075234603","https://openalex.org/W2077260542","https://openalex.org/W2088807200","https://openalex.org/W2092559257","https://openalex.org/W2094814001","https://openalex.org/W2098524603","https://openalex.org/W2099799470","https://openalex.org/W2107465205","https://openalex.org/W2108518187","https://openalex.org/W2109381394","https://openalex.org/W2111004976","https://openalex.org/W2121205193","https://openalex.org/W2133374626","https://openalex.org/W2137213153","https://openalex.org/W2142333440","https://openalex.org/W2143373014","https://openalex.org/W2150126561","https://openalex.org/W2152429721","https://openalex.org/W2152453276","https://openalex.org/W2158288046","https://openalex.org/W2261918559","https://openalex.org/W2482206724","https://openalex.org/W2579562560","https://openalex.org/W2586242296","https://openalex.org/W2594910400","https://openalex.org/W2730095674","https://openalex.org/W4249513058","https://openalex.org/W6725985803"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2017-07-31T00:00:00"}