{"id":"https://openalex.org/W2064608549","doi":"https://doi.org/10.1137/s0895479897331849","title":"Positive Subdefinite Matrices, Generalized Monotonicity, and Linear Complementarity Problems","display_name":"Positive Subdefinite Matrices, Generalized Monotonicity, and Linear Complementarity Problems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2064608549","doi":"https://doi.org/10.1137/s0895479897331849","mag":"2064608549"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479897331849","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479897331849","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis 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/A5022248421","display_name":"Jean-Pierre Crouzeix","orcid":"https://orcid.org/0000-0001-5874-457X"},"institutions":[{"id":"https://openalex.org/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. P. Crouzeix","raw_affiliation_strings":["Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes","institution_ids":["https://openalex.org/I4210099416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045135819","display_name":"A. Hassouni","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Hassouni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113623439","display_name":"A. Lahlou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Lahlou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057911947","display_name":"Siegfried Schaible","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Schaible","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3964,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.81939674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"1","first_page":"66","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9702000021934509,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9702000021934509,"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":0.9628999829292297,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9455000162124634,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8807228803634644},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6321845650672913},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.572262704372406},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5713952779769897},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.49895167350769043},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46150925755500793},{"id":"https://openalex.org/keywords/generalized-linear-mixed-model","display_name":"Generalized linear mixed model","score":0.45881161093711853},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38501375913619995},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36433595418930054},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35555899143218994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18895584344863892},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11671552062034607}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8807228803634644},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6321845650672913},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.572262704372406},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5713952779769897},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.49895167350769043},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46150925755500793},{"id":"https://openalex.org/C153720581","wikidata":"https://www.wikidata.org/wiki/Q5532490","display_name":"Generalized linear mixed model","level":2,"score":0.45881161093711853},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38501375913619995},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36433595418930054},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35555899143218994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18895584344863892},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11671552062034607},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895479897331849","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479897331849","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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":13,"referenced_works":["https://openalex.org/W1965005753","https://openalex.org/W1969867455","https://openalex.org/W1970000960","https://openalex.org/W1990995401","https://openalex.org/W2020118917","https://openalex.org/W2032292661","https://openalex.org/W2035436991","https://openalex.org/W2063938506","https://openalex.org/W2065279254","https://openalex.org/W2081194262","https://openalex.org/W2085803700","https://openalex.org/W2092169411","https://openalex.org/W2136885855"],"related_works":["https://openalex.org/W2052366866","https://openalex.org/W4220847489","https://openalex.org/W2276648117","https://openalex.org/W2125058146","https://openalex.org/W2016940464","https://openalex.org/W2100762546","https://openalex.org/W2358901572","https://openalex.org/W819098253","https://openalex.org/W2765841216","https://openalex.org/W1548220668"],"abstract_inverted_index":{"Positive":[0],"subdefinite":[1],"matrices":[2,27],"were":[3],"introduced":[4],"by":[5],"Martos":[6],"to":[7,17,22,29],"characterize":[8],"generalized":[9,33],"convex":[10],"quadratic":[11],"functions.":[12],"This":[13],"concept":[14],"is":[15],"extended":[16],"nonsymmetric":[18],"matrices.":[19],"It":[20],"leads":[21],"a":[23],"study":[24],"of":[25,32,40],"pseudomonotone":[26],"and":[28],"new":[30],"characterizations":[31],"monotone":[34],"affine":[35],"maps.":[36],"Finally,":[37],"some":[38],"properties":[39],"linear":[41],"complementarity":[42],"problems":[43],"involving":[44],"such":[45],"maps":[46],"are":[47],"derived.":[48]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
