{"id":"https://openalex.org/W2043043544","doi":"https://doi.org/10.1137/s0895479894271147","title":"Vertical Block Hidden <i>Z</i>-Matrices And The Generalized Linear Complementarity Problem","display_name":"Vertical Block Hidden <i>Z</i>-Matrices And The Generalized Linear Complementarity Problem","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2043043544","doi":"https://doi.org/10.1137/s0895479894271147","mag":"2043043544"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479894271147","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479894271147","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/A5104322939","display_name":"Sarath Mohan","orcid":"https://orcid.org/0009-0009-0150-9275"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. R. Mohan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5007628003","display_name":"Sarmistha Neogy","orcid":"https://orcid.org/0000-0003-1497-671X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. K. Neogy","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":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.14361142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":"1","first_page":"181","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9955000281333923,"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":0.984499990940094,"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":0.8079820871353149},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.6557066440582275},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6307566165924072},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5480570197105408},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5310516953468323},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.45466771721839905},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4089033603668213},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35010796785354614},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33680784702301025},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2845863103866577},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1962091028690338},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09637150168418884}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8079820871353149},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.6557066440582275},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6307566165924072},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5480570197105408},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5310516953468323},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.45466771721839905},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4089033603668213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35010796785354614},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33680784702301025},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2845863103866577},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1962091028690338},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09637150168418884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895479894271147","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479894271147","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W584634945","https://openalex.org/W1544284532","https://openalex.org/W1969189939","https://openalex.org/W1970531462","https://openalex.org/W1977117914","https://openalex.org/W1985354601","https://openalex.org/W2004250389","https://openalex.org/W2005338952","https://openalex.org/W2005347459","https://openalex.org/W2013321893","https://openalex.org/W2022563418","https://openalex.org/W2027866950","https://openalex.org/W2030459733","https://openalex.org/W2087353196","https://openalex.org/W2088057743","https://openalex.org/W2107517414","https://openalex.org/W2108906687","https://openalex.org/W2127677373","https://openalex.org/W2152122625","https://openalex.org/W2160211628"],"related_works":["https://openalex.org/W2218722746","https://openalex.org/W2793570124","https://openalex.org/W2065691568","https://openalex.org/W3200911755","https://openalex.org/W2386800593","https://openalex.org/W4309964326","https://openalex.org/W2019530941","https://openalex.org/W2772285241","https://openalex.org/W4324269812","https://openalex.org/W4379924760"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"introduce":[4],"vertical":[5],"block":[6,20,22],"hidden":[7,23],"Z-matrices":[8],"and":[9,13],"study":[10],"their":[11],"minimality":[12],"complementarity":[14,18],"properties.MSC":[15],"codes90C33Keywordsgeneralized":[16],"linear":[17],"problemvertical":[19],"Z-matricesvertical":[21],"Z-matricesVLCPleast":[24],"element":[25]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"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"}