{"id":"https://openalex.org/W2112838397","doi":"https://doi.org/10.1137/040621065","title":"Interior Methods for Mathematical Programs with Complementarity Constraints","display_name":"Interior Methods for Mathematical Programs with Complementarity Constraints","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2112838397","doi":"https://doi.org/10.1137/040621065","mag":"2112838397"},"language":"en","primary_location":{"id":"doi:10.1137/040621065","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040621065","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 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/A5084814006","display_name":"Sven Leyffer","orcid":"https://orcid.org/0000-0001-8839-5876"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sven Leyffer","raw_affiliation_strings":["argonne national laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"argonne national laboratory","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075207507","display_name":"Gabriel L\u00f3pez-Calva","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriel L\u00f3pez-Calva","raw_affiliation_strings":["Northwestern University****"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081856145","display_name":"Jorge Nocedal","orcid":"https://orcid.org/0000-0002-9662-2730"},"institutions":[{"id":"https://openalex.org/I4210155590","display_name":"Management Sciences (United States)","ror":"https://ror.org/05shz5j84","country_code":"US","type":"company","lineage":["https://openalex.org/I4210155590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge Nocedal","raw_affiliation_strings":["Industrial Engineering and Management Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Management Sciences","institution_ids":["https://openalex.org/I4210155590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":18.135,"has_fulltext":false,"cited_by_count":193,"citation_normalized_percentile":{"value":0.99800747,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"17","issue":"1","first_page":"52","last_page":"77"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"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":0.9948999881744385,"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/complementarity","display_name":"Complementarity (molecular biology)","score":0.7830455303192139},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7446303963661194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6793183088302612},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.6070582270622253},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6068229675292969},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.5975624918937683},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5207704901695251},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4692685008049011},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.4655061364173889},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.452497661113739},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4177246689796448},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3495800197124481}],"concepts":[{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.7830455303192139},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7446303963661194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6793183088302612},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.6070582270622253},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6068229675292969},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.5975624918937683},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5207704901695251},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4692685008049011},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.4655061364173889},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.452497661113739},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4177246689796448},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3495800197124481},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/040621065","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040621065","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.113.847","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.847","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.northwestern.edu/~nocedal/PDFfiles/mpec.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.128.954","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mcs.anl.gov/~leyffer/papers/mpec-ipm.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W1497494571","https://openalex.org/W1508335918","https://openalex.org/W1562374763","https://openalex.org/W1971536112","https://openalex.org/W1971720918","https://openalex.org/W1988435421","https://openalex.org/W2005604902","https://openalex.org/W2013683432","https://openalex.org/W2022144657","https://openalex.org/W2034039293","https://openalex.org/W2035072927","https://openalex.org/W2037678919","https://openalex.org/W2039659576","https://openalex.org/W2042838878","https://openalex.org/W2048799772","https://openalex.org/W2060758199","https://openalex.org/W2069671092","https://openalex.org/W2120461039","https://openalex.org/W2125410188","https://openalex.org/W2133314983","https://openalex.org/W2149454052","https://openalex.org/W2171126500","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2038257044","https://openalex.org/W1999067864","https://openalex.org/W2146241362","https://openalex.org/W2382148394","https://openalex.org/W2122617831","https://openalex.org/W1971720918","https://openalex.org/W1992200282","https://openalex.org/W2316847856","https://openalex.org/W1966205354","https://openalex.org/W2909617503"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"theoretical":[3],"and":[4,24,78,81],"practical":[5],"properties":[6],"of":[7,89],"interior-penalty":[8],"methods":[9,21],"for":[10,18,27,71],"mathematical":[11],"programs":[12],"with":[13,34],"complementarity":[14],"constraints.":[15],"A":[16],"framework":[17],"implementing":[19],"these":[20],"is":[22,32,38,66],"presented,":[23],"the":[25,73],"need":[26],"adaptive":[28],"penalty":[29,74],"update":[30],"strategies":[31,70],"motivated":[33],"examples.":[35],"The":[36],"algorithm":[37],"shown":[39],"to":[40,44,56,62],"be":[41],"globally":[42],"convergent":[43],"strongly":[45,63],"stationary":[46,64],"points,":[47],"under":[48],"standard":[49],"assumptions.":[50],"These":[51],"results":[52],"are":[53,76,83],"then":[54],"extended":[55],"an":[57,86],"interior-relaxation":[58],"approach.":[59],"Superlinear":[60],"convergence":[61],"points":[65],"also":[67],"established.":[68],"Two":[69],"updating":[72],"parameter":[75],"proposed,":[77],"their":[79],"efficiency":[80],"robustness":[82],"studied":[84],"on":[85],"extensive":[87],"collection":[88],"test":[90],"problems.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":12}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
