{"id":"https://openalex.org/W2051574910","doi":"https://doi.org/10.1137/090777232","title":"An $\\ell_1$ Elastic Interior-Point Method for Mathematical Programs with Complementarity Constraints","display_name":"An $\\ell_1$ Elastic Interior-Point Method for Mathematical Programs with Complementarity Constraints","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2051574910","doi":"https://doi.org/10.1137/090777232","mag":"2051574910"},"language":"en","primary_location":{"id":"doi:10.1137/090777232","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777232","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/A5049410754","display_name":"Zoumana Coulibaly","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Z. Coulibaly","raw_affiliation_strings":["zoumana.coulibaly@gerad.ca and dominique.orban@gerad.ca#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"zoumana.coulibaly@gerad.ca and dominique.orban@gerad.ca#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027758717","display_name":"Dominique Orban","orcid":"https://orcid.org/0000-0002-8017-7687"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Orban","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":0.897,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74018451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"22","issue":"1","first_page":"187","last_page":"211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9976999759674072,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9846000075340271,"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/complementarity","display_name":"Complementarity (molecular biology)","score":0.8114296793937683},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.68462735414505},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.6631035208702087},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.656038761138916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6556424498558044},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.6001956462860107},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5197153091430664},{"id":"https://openalex.org/keywords/certificate","display_name":"Certificate","score":0.5045799016952515},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47517696022987366},{"id":"https://openalex.org/keywords/salient","display_name":"Salient","score":0.45147931575775146},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.42183953523635864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2752839922904968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24428412318229675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07960760593414307}],"concepts":[{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.8114296793937683},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.68462735414505},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.6631035208702087},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.656038761138916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6556424498558044},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.6001956462860107},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5197153091430664},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.5045799016952515},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47517696022987366},{"id":"https://openalex.org/C2780719617","wikidata":"https://www.wikidata.org/wiki/Q1030752","display_name":"Salient","level":2,"score":0.45147931575775146},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.42183953523635864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2752839922904968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24428412318229675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07960760593414307},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090777232","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777232","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:publications.polymtl.ca:15600","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/15600/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1967810262","https://openalex.org/W1970101292","https://openalex.org/W1970946112","https://openalex.org/W1971720918","https://openalex.org/W2000389939","https://openalex.org/W2035072927","https://openalex.org/W2037678919","https://openalex.org/W2039659576","https://openalex.org/W2042838878","https://openalex.org/W2074352998","https://openalex.org/W2085581918","https://openalex.org/W2087472326","https://openalex.org/W2087542711","https://openalex.org/W2112838397","https://openalex.org/W2120461039","https://openalex.org/W2133314983","https://openalex.org/W2149454052"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2084792246","https://openalex.org/W819098253","https://openalex.org/W2128234186","https://openalex.org/W1107289","https://openalex.org/W2365022651","https://openalex.org/W2085014864","https://openalex.org/W2038257044","https://openalex.org/W2350200292","https://openalex.org/W2011175430"],"abstract_inverted_index":{"We":[0],"propose":[1],"an":[2,7],"interior-point":[3],"algorithm":[4],"based":[5],"on":[6,116],"elastic":[8],"formulation":[9],"of":[10,24,34,50,80,105,124],"the":[11,43,74,84,88,122,125],"$\\ell_1$-penalty":[12],"merit":[13],"function":[14],"for":[15,46],"mathematical":[16],"programs":[17],"with":[18,63,66],"complementarity":[19,40,64,89],"constraints.":[20,41,90],"The":[21,91],"salient":[22],"feature":[23],"our":[25],"method":[26,44,92],"is":[27],"that":[28],"it":[29],"requires":[30],"no":[31,67],"prior":[32],"knowledge":[33],"which":[35],"constraints,":[36,65],"if":[37],"any,":[38],"are":[39],"Remarkably,":[42],"allows":[45],"a":[47,96,102,117],"unified":[48],"treatment":[49],"both":[51],"general,":[52],"unstructured,":[53],"degenerate":[54,58],"problems":[55,62],"and":[56],"structured":[57],"problems,":[59],"such":[60],"as":[61],"changes":[68],"to":[69,87,95,109],"accommodate":[70],"one":[71],"class":[72],"or":[73,100],"other.":[75],"Our":[76],"results":[77,115],"refine":[78],"those":[79],"gould-orban-toint-2003":[81],"by":[82],"isolating":[83],"degeneracy":[85,106],"due":[86],"naturally":[93],"converges":[94],"strongly":[97],"stationary":[98],"point":[99],"delivers":[101],"relevant":[103],"certificate":[104],"without":[107],"recourse":[108],"second-order":[110],"intermediate":[111],"solutions.":[112],"Preliminary":[113],"numerical":[114],"standard":[118],"test":[119],"set":[120],"illustrate":[121],"flexibility":[123],"approach.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
