{"id":"https://openalex.org/W4205909128","doi":"https://doi.org/10.1007/s11075-021-01240-4","title":"A modulus-based formulation for the vertical linear complementarity problem","display_name":"A modulus-based formulation for the vertical linear complementarity problem","publication_year":2022,"publication_date":"2022-01-07","ids":{"openalex":"https://openalex.org/W4205909128","doi":"https://doi.org/10.1007/s11075-021-01240-4"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01240-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01240-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11380/1290331","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085088392","display_name":"Francesco Mezzadri","orcid":"https://orcid.org/0000-0002-9779-7647"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesco Mezzadri","raw_affiliation_strings":["Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, via P. Vivarelli 10/1, building 26, I-41125, Modena, Italy","Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, via P. Vivarelli 10/1, building 26, I-41125, Modena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9779-7647","affiliations":[{"raw_affiliation_string":"Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, via P. Vivarelli 10/1, building 26, I-41125, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, via P. Vivarelli 10/1, building 26, I-41125, Modena, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085088392"],"corresponding_institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.0178,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.94530701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"90","issue":"4","first_page":"1547","last_page":"1568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987000226974487,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9933000206947327,"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/mathematics","display_name":"Mathematics","score":0.7313389778137207},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.6011687517166138},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5905534625053406},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.586585521697998},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.5828365683555603},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.552946150302887},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5442003607749939},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5255391001701355},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5239860415458679},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.4914480447769165},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4732775390148163},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.45985323190689087},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42650750279426575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3506849706172943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3012014627456665},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14277109503746033},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12801799178123474}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7313389778137207},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.6011687517166138},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5905534625053406},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.586585521697998},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.5828365683555603},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.552946150302887},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5442003607749939},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5255391001701355},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5239860415458679},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.4914480447769165},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4732775390148163},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.45985323190689087},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42650750279426575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3506849706172943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3012014627456665},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14277109503746033},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12801799178123474},{"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-021-01240-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01240-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/1290331","is_oa":true,"landing_page_url":"https://hdl.handle.net/11380/1290331","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1290331","is_oa":true,"landing_page_url":"https://hdl.handle.net/11380/1290331","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W278577694","https://openalex.org/W1488435683","https://openalex.org/W1956819437","https://openalex.org/W1963924275","https://openalex.org/W1977117914","https://openalex.org/W1979337419","https://openalex.org/W1982337446","https://openalex.org/W2000124198","https://openalex.org/W2000151369","https://openalex.org/W2004250389","https://openalex.org/W2011026819","https://openalex.org/W2013321893","https://openalex.org/W2027214318","https://openalex.org/W2030459733","https://openalex.org/W2034712404","https://openalex.org/W2043043544","https://openalex.org/W2052366866","https://openalex.org/W2063686441","https://openalex.org/W2065455220","https://openalex.org/W2066977799","https://openalex.org/W2076759485","https://openalex.org/W2087353196","https://openalex.org/W2089529944","https://openalex.org/W2090540854","https://openalex.org/W2107517414","https://openalex.org/W2160211628","https://openalex.org/W2285173091","https://openalex.org/W2296233246","https://openalex.org/W2404507129","https://openalex.org/W2566482849","https://openalex.org/W2753851050","https://openalex.org/W2808351968","https://openalex.org/W2898486963","https://openalex.org/W2914365367","https://openalex.org/W3003242163","https://openalex.org/W3030990663","https://openalex.org/W3128684557","https://openalex.org/W3136534692","https://openalex.org/W3195563679"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2042813889","https://openalex.org/W2358901572","https://openalex.org/W2028943836","https://openalex.org/W4220847489","https://openalex.org/W2084792246","https://openalex.org/W819098253","https://openalex.org/W1972915776","https://openalex.org/W1548220668","https://openalex.org/W2765841216"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}