{"id":"https://openalex.org/W2111920137","doi":"https://doi.org/10.1007/s10898-013-0039-0","title":"Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming","display_name":"Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming","publication_year":2013,"publication_date":"2013-02-19","ids":{"openalex":"https://openalex.org/W2111920137","doi":"https://doi.org/10.1007/s10898-013-0039-0","mag":"2111920137"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-013-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-013-0039-0","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1007/s10898-013-0039-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087290455","display_name":"Ernesto G. Birgin","orcid":"https://orcid.org/0000-0002-7466-7663"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"E. G. Birgin","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, SP, Brazil","Department of Computer Science, Institute of Mathematics and Statistics - University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, SP, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics - University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066019994","display_name":"J. M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-3331-368X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. M. Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, SP, Brazil","Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064624706","display_name":"L. F. Prudente","orcid":"https://orcid.org/0000-0003-1098-4317"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"L. F. Prudente","raw_affiliation_strings":["Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, SP, Brazil","Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087290455"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.3039,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91848706,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"58","issue":"2","first_page":"207","last_page":"242"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9864000082015991,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9850999712944031,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8969643712043762},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7465602159500122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6687613129615784},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6436563730239868},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6024705171585083},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5678867697715759},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5426744222640991},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5021977424621582},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.4934629499912262},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.41368788480758667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26129376888275146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.24207928776741028}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8969643712043762},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7465602159500122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6687613129615784},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6436563730239868},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6024705171585083},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5678867697715759},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5426744222640991},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5021977424621582},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.4934629499912262},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.41368788480758667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26129376888275146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.24207928776741028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10898-013-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-013-0039-0","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:002472041","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10898-013-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.261.3874","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.3874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ime.usp.br/%7Eegbirgin/publications/bmpru.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jglopt:v:58:y:2014:i:2:p:207-242","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-013-0039-0","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:002472041","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10898-013-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W10227180","https://openalex.org/W44187364","https://openalex.org/W51788365","https://openalex.org/W62429925","https://openalex.org/W63727961","https://openalex.org/W75157487","https://openalex.org/W91952509","https://openalex.org/W107512677","https://openalex.org/W114465074","https://openalex.org/W147998453","https://openalex.org/W200606222","https://openalex.org/W202383464","https://openalex.org/W303202384","https://openalex.org/W402691944","https://openalex.org/W587390710","https://openalex.org/W631930523","https://openalex.org/W1508674681","https://openalex.org/W1546275378","https://openalex.org/W1558506607","https://openalex.org/W1571070457","https://openalex.org/W1591699350","https://openalex.org/W1676470423","https://openalex.org/W1968142821","https://openalex.org/W1970296876","https://openalex.org/W1973987247","https://openalex.org/W1975406009","https://openalex.org/W1978804995","https://openalex.org/W1980210920","https://openalex.org/W1981009968","https://openalex.org/W1981744224","https://openalex.org/W1982203621","https://openalex.org/W1982935349","https://openalex.org/W1984425167","https://openalex.org/W1985329511","https://openalex.org/W1987995897","https://openalex.org/W2004407575","https://openalex.org/W2016189650","https://openalex.org/W2018812345","https://openalex.org/W2018954655","https://openalex.org/W2022484305","https://openalex.org/W2024948279","https://openalex.org/W2032234281","https://openalex.org/W2032394926","https://openalex.org/W2032704525","https://openalex.org/W2037091587","https://openalex.org/W2038320188","https://openalex.org/W2042555539","https://openalex.org/W2052782332","https://openalex.org/W2053427412","https://openalex.org/W2054232136","https://openalex.org/W2056371558","https://openalex.org/W2057624533","https://openalex.org/W2057802165","https://openalex.org/W2059991805","https://openalex.org/W2060627718","https://openalex.org/W2063190731","https://openalex.org/W2067100964","https://openalex.org/W2069612911","https://openalex.org/W2070226140","https://openalex.org/W2074465099","https://openalex.org/W2074869363","https://openalex.org/W2075572180","https://openalex.org/W2077458487","https://openalex.org/W2081019385","https://openalex.org/W2090966845","https://openalex.org/W2092285919","https://openalex.org/W2093112915","https://openalex.org/W2093117412","https://openalex.org/W2094214271","https://openalex.org/W2125712877","https://openalex.org/W2130183935","https://openalex.org/W2130633138","https://openalex.org/W2137254586","https://openalex.org/W2140255167","https://openalex.org/W2142960723","https://openalex.org/W2151802896","https://openalex.org/W2154904851","https://openalex.org/W2155865164","https://openalex.org/W2181697621","https://openalex.org/W2273720698","https://openalex.org/W2301746362","https://openalex.org/W2432517183","https://openalex.org/W2481910659","https://openalex.org/W2618338767","https://openalex.org/W2768232237","https://openalex.org/W2981264952","https://openalex.org/W3150183338","https://openalex.org/W4232878820","https://openalex.org/W4241422263","https://openalex.org/W4285719527","https://openalex.org/W4292175028"],"related_works":["https://openalex.org/W2315802443","https://openalex.org/W2076161359","https://openalex.org/W2376104286","https://openalex.org/W2082353735","https://openalex.org/W2046159525","https://openalex.org/W2375548073","https://openalex.org/W3098726780","https://openalex.org/W1989227410","https://openalex.org/W2024964462","https://openalex.org/W148192211"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}