{"id":"https://openalex.org/W1516748349","doi":"https://doi.org/10.1137/s0036139997325199","title":"Linear Complementarity Systems","display_name":"Linear Complementarity Systems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1516748349","doi":"https://doi.org/10.1137/s0036139997325199","mag":"1516748349"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139997325199","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997325199","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/5014626e-76b1-4771-9933-e0da33a3a33d","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063241688","display_name":"W.P.M.H. Heemels","orcid":"https://orcid.org/0000-0003-3440-8007"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. P. M. H. Heemels","raw_affiliation_strings":["Control Systems"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009130860","display_name":"Johannes Schumacher","orcid":"https://orcid.org/0000-0001-5753-3412"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. M. Schumacher","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006584942","display_name":"S. Weiland","orcid":"https://orcid.org/0000-0002-6131-4658"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Weiland","raw_affiliation_strings":["Control Systems"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Systems","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9715,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.9109405,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"60","issue":"4","first_page":"1234","last_page":"1269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9866999983787537,"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":0.9866999983787537,"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":0.9699000120162964,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/uniqueness","display_name":"Uniqueness","score":0.7318365573883057},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.66599440574646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6310437917709351},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.624270498752594},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5950433611869812},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.5736240744590759},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5311779975891113},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.506946325302124},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.489921510219574},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.46785905957221985},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46633267402648926},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.46116727590560913},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.451654314994812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3734399378299713},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.32536038756370544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2323911190032959}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7318365573883057},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.66599440574646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6310437917709351},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.624270498752594},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5950433611869812},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.5736240744590759},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5311779975891113},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.506946325302124},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.489921510219574},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.46785905957221985},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46633267402648926},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.46116727590560913},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.451654314994812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3734399378299713},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.32536038756370544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2323911190032959},{"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},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":11,"locations":[{"id":"doi:10.1137/s0036139997325199","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997325199","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire/5014626e-76b1-4771-9933-e0da33a3a33d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5014626e-76b1-4771-9933-e0da33a3a33d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Heemels, W P M H, Schumacher, J M & Weiland, S 2000, 'Linear complementarity systems', SIAM Journal on Applied Mathematics, vol. 60, no. 4, pp. 1234-1269. https://doi.org/10.1137/S0036139997325199","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:679386","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=679386","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"ISSN:0036-1399","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.332.5180","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.5180","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mate.tue.nl/mate/pdfs/7529.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:679386","is_oa":false,"landing_page_url":"http://repository.tue.nl/679386","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"ISSN:0036-1399","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:library.tue.nl:691065","is_oa":false,"landing_page_url":"http://repository.tue.nl/691065","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"ISBN:90-6196-479-2","raw_type":"Part of book or chapter of book"},{"id":"pmh:tue:oai:pure.tue.nl:publications/5014626e-76b1-4771-9933-e0da33a3a33d","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/5014626e-76b1-4771-9933-e0da33a3a33d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"SIAM Journal on Applied Mathematics, 60(4), 1234 - 1269. Society for Industrial and Applied Mathematics (SIAM)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/7d083f2a-cb60-4140-b61c-88cef9affd9e","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/7d083f2a-cb60-4140-b61c-88cef9affd9e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 17th Benelux Meeting on Systems and Control, March 4-6, 1998, Mierlo, The Netherlands","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:tue:oai:pure.tue.nl:publications/97938515-3fa8-4cca-a778-1baad2fffd52","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/97938515-3fa8-4cca-a778-1baad2fffd52","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. 34th Dutch Mathematical Congress, 36 - 37","raw_type":"info:eu-repo/semantics/conferencepaper"},{"id":"mag:1516748349","is_oa":false,"landing_page_url":"https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F3ed91d34-f781-45f0-98b1-ff750a93e8cf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"mag:2809106515","is_oa":false,"landing_page_url":"https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F97938515-3fa8-4cca-a778-1baad2fffd52","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire/5014626e-76b1-4771-9933-e0da33a3a33d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5014626e-76b1-4771-9933-e0da33a3a33d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Heemels, W P M H, Schumacher, J M & Weiland, S 2000, 'Linear complementarity systems', SIAM Journal on Applied Mathematics, vol. 60, no. 4, pp. 1234-1269. https://doi.org/10.1137/S0036139997325199","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1979337419","https://openalex.org/W2007677977","https://openalex.org/W2015887728","https://openalex.org/W2024670401","https://openalex.org/W2051676758","https://openalex.org/W2084792246","https://openalex.org/W2085897137","https://openalex.org/W2093990123","https://openalex.org/W2094163366","https://openalex.org/W2102739878","https://openalex.org/W2112906954","https://openalex.org/W2119348011","https://openalex.org/W2119382067","https://openalex.org/W2131649575","https://openalex.org/W2135667955","https://openalex.org/W2138947309","https://openalex.org/W4210998745","https://openalex.org/W4254492702"],"related_works":["https://openalex.org/W2112906954","https://openalex.org/W2149675356","https://openalex.org/W2000151369","https://openalex.org/W2147475993","https://openalex.org/W2097228749","https://openalex.org/W2015887728","https://openalex.org/W2911895096","https://openalex.org/W2941593326","https://openalex.org/W644198981","https://openalex.org/W2146846916","https://openalex.org/W2138947309","https://openalex.org/W2791136701","https://openalex.org/W74735411","https://openalex.org/W2024195317","https://openalex.org/W2980589068","https://openalex.org/W2012390499","https://openalex.org/W2022058845","https://openalex.org/W3106043943","https://openalex.org/W3095188471","https://openalex.org/W151248861"],"abstract_inverted_index":{"We":[0,94],"introduce":[1],"a":[2,20,30,36,80,96],"new":[3],"class":[4],"of":[5,15,19,22,44,60,99,103,115],"dynamical":[6],"systems":[7,17,106],"called":[8],"\"linear":[9],"complementarity":[10,58,105],"systems.\"":[11],"The":[12,42,63],"time":[13],"evolution":[14],"these":[16],"consists":[18],"series":[21],"continuous":[23],"phases":[24],"separated":[25],"by":[26,48],"\"events\"":[27],"which":[28,73],"cause":[29],"change":[31],"in":[32,38,55,72,84],"dynamics":[33],"and":[34,77,91,107,113],"possibly":[35],"jump":[37],"the":[39,56,100],"state":[40],"vector.":[41],"occurrence":[43],"events":[45],"is":[46,67],"governed":[47],"certain":[49,70],"inequalities":[50,78],"similar":[51],"to":[52],"those":[53],"appearing":[54],"linear":[57,89,104],"problem":[59],"mathematical":[61],"programming.":[62],"framework":[64],"we":[65],"describe":[66],"suitable":[68],"for":[69,82,111],"situations":[71],"both":[74],"differential":[75],"equations":[76],"play":[79],"role;":[81],"instance,":[83],"mechanics,":[85],"electrical":[86],"networks,":[87],"piecewise":[88],"systems,":[90],"dynamic":[92],"optimization.":[93],"present":[95],"precise":[97],"definition":[98],"solution":[101],"concept":[102],"give":[108],"sufficient":[109],"conditions":[110],"existence":[112],"uniqueness":[114],"solutions.":[116]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}