{"id":"https://openalex.org/W2053678650","doi":"https://doi.org/10.1007/s10589-007-9017-0","title":"The eigenvalue complementarity problem","display_name":"The eigenvalue complementarity problem","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W2053678650","doi":"https://doi.org/10.1007/s10589-007-9017-0","mag":"2053678650"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9017-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9017-0","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5066766041","display_name":"Joaqu\u00edm J. J\u00fadice","orcid":"https://orcid.org/0000-0001-9441-4877"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Joaquim J. J\u00fadice","raw_affiliation_strings":["Departamento de Matem\u00e1tica da Universidade de Coimbra and Instituto de Telecomunica\u00e7\u00f5es, Coimbra, Portugal","Departamento de Matem\u00e1tica da Universidade de Coimbra and Instituto de Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica da Universidade de Coimbra and Instituto de Telecomunica\u00e7\u00f5es, Coimbra, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I76903346"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica da Universidade de Coimbra and Instituto de Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":["Grado Department of Industrial & Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","Grado Department of Industrial and Systems Engineering Virginia Polytechnic Institute and State University  Blacksburg USA"],"affiliations":[{"raw_affiliation_string":"Grado Department of Industrial & Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Grado Department of Industrial and Systems Engineering Virginia Polytechnic Institute and State University  Blacksburg USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057648908","display_name":"Isabel M. Ribeiro","orcid":"https://orcid.org/0000-0001-6984-2810"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Isabel\u00a0M. Ribeiro","raw_affiliation_strings":["Sec\u00e7\u00e3o de Matem\u00e1tica do Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal","Seccao de Matematica do Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal#TAB#"],"affiliations":[{"raw_affiliation_string":"Sec\u00e7\u00e3o de Matem\u00e1tica do Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Seccao de Matematica do Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal#TAB#","institution_ids":["https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066766041"],"corresponding_institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I76903346"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":9.634,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.98994857,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"37","issue":"2","first_page":"139","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"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":0.9976000189781189,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.894321620464325},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.7786602973937988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7265194058418274},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6928349733352661},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6860716342926025},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.6616381406784058},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6400733590126038},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6270803213119507},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5542511343955994},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4938541054725647},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4700290858745575},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.42942166328430176},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40243202447891235}],"concepts":[{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.894321620464325},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.7786602973937988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7265194058418274},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6928349733352661},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6860716342926025},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.6616381406784058},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6400733590126038},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6270803213119507},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5542511343955994},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4938541054725647},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4700290858745575},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.42942166328430176},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40243202447891235},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/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":3,"locations":[{"id":"doi:10.1007/s10589-007-9017-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9017-0","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/7723","is_oa":false,"landing_page_url":"http://hdl.handle.net/10316/7723","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:repositorio-aberto.up.pt:10216/97334","is_oa":false,"landing_page_url":"https://repositorio-aberto.up.pt/handle/10216/97334","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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 article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1543439990","https://openalex.org/W1597988518","https://openalex.org/W1974080871","https://openalex.org/W1998299736","https://openalex.org/W2000151369","https://openalex.org/W2001024683","https://openalex.org/W2015120655","https://openalex.org/W2015893008","https://openalex.org/W2026307662","https://openalex.org/W2038260658","https://openalex.org/W2045622192","https://openalex.org/W2046542460","https://openalex.org/W2063190731","https://openalex.org/W2065195435","https://openalex.org/W2079104779","https://openalex.org/W2079384027","https://openalex.org/W2094905155","https://openalex.org/W2798909945","https://openalex.org/W3029645440","https://openalex.org/W4293775970","https://openalex.org/W4301791716","https://openalex.org/W4378195498"],"related_works":["https://openalex.org/W2091810828","https://openalex.org/W2761564338","https://openalex.org/W2097564522","https://openalex.org/W2081101031","https://openalex.org/W4312668273","https://openalex.org/W2767061585","https://openalex.org/W2126747412","https://openalex.org/W2462377384","https://openalex.org/W2963018695","https://openalex.org/W2038257044"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
