{"id":"https://openalex.org/W2078080374","doi":"https://doi.org/10.1007/s10898-005-3837-1","title":"Partial Augmented Lagrangian Method and Mathematical Programs with Complementarity Constraints","display_name":"Partial Augmented Lagrangian Method and Mathematical Programs with Complementarity Constraints","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2078080374","doi":"https://doi.org/10.1007/s10898-005-3837-1","mag":"2078080374"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-005-3837-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-005-3837-1","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028578315","display_name":"Xiaoxu Huang","orcid":"https://orcid.org/0000-0002-4635-6112"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"X. X. Huang","raw_affiliation_strings":["Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China","Department of Mathematics and Computer Science , Chongqing Normal University , Chongqing , China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China","institution_ids":["https://openalex.org/I126924076"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science , Chongqing Normal University , Chongqing , China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024523994","display_name":"Xiaoqi Yang","orcid":"https://orcid.org/0000-0002-5583-4032"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"X. Q. Yang","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010897184","display_name":"Kok Lay Teo","orcid":"https://orcid.org/0000-0002-5903-7698"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"K. L. Teo","raw_affiliation_strings":["Department of Mathematics and Statistics, Curtin University of Technology, Western Australia, Australia","Department of Mathematics and Statistics, Curtin University of Technology, Western Australia, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Curtin University of Technology, Western Australia, Australia","institution_ids":["https://openalex.org/I205640436"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Curtin University of Technology, Western Australia, Australia#TAB#","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028578315"],"corresponding_institution_ids":["https://openalex.org/I126924076"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.3522,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81234634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"2","first_page":"235","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9993000030517578,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9884999990463257,"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/mathematics","display_name":"Mathematics","score":0.8294855356216431},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7911876440048218},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.7128554582595825},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.6851766705513},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5932910442352295},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5761528611183167},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5748178362846375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5473178029060364},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5187873244285583},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.49144446849823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46530988812446594},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.4328976273536682},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4200182259082794},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2156350016593933},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06948065757751465},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06362384557723999}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8294855356216431},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7911876440048218},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.7128554582595825},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.6851766705513},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5932910442352295},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5761528611183167},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5748178362846375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473178029060364},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5187873244285583},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.49144446849823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46530988812446594},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.4328976273536682},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4200182259082794},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2156350016593933},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06948065757751465},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06362384557723999},{"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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-005-3837-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-005-3837-1","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:ira.lib.polyu.edu.hk:10397/32849","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/32849","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W49930306","https://openalex.org/W217831350","https://openalex.org/W1517656880","https://openalex.org/W1720757687","https://openalex.org/W1966095601","https://openalex.org/W1976886395","https://openalex.org/W1986490170","https://openalex.org/W2005604902","https://openalex.org/W2019727142","https://openalex.org/W2035583162","https://openalex.org/W2037091587","https://openalex.org/W2037678919","https://openalex.org/W2042613327","https://openalex.org/W2042838878","https://openalex.org/W2054959619","https://openalex.org/W2065066829","https://openalex.org/W2065428088","https://openalex.org/W2070310971","https://openalex.org/W2077136942","https://openalex.org/W2077658674","https://openalex.org/W2082451773","https://openalex.org/W2095246905","https://openalex.org/W2099959094","https://openalex.org/W2101926728","https://openalex.org/W2149048932","https://openalex.org/W2157719946","https://openalex.org/W2166758048","https://openalex.org/W3012317737","https://openalex.org/W3021318926","https://openalex.org/W4210953350","https://openalex.org/W4212997115","https://openalex.org/W4231147659","https://openalex.org/W4242486132","https://openalex.org/W4246495354","https://openalex.org/W4249513058","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1980455566","https://openalex.org/W2078080374","https://openalex.org/W2122617831","https://openalex.org/W2014704055","https://openalex.org/W2050897335","https://openalex.org/W2909617503","https://openalex.org/W2316847856","https://openalex.org/W1966205354","https://openalex.org/W120058203","https://openalex.org/W2095246905"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}