{"id":"https://openalex.org/W2358049154","doi":null,"title":"A MODIFIED POTENTIAL REDUCTION ALGORITHM FOR LINEAR COMPLEMENTARITY PROBLEMS","display_name":"A MODIFIED POTENTIAL REDUCTION ALGORITHM FOR LINEAR COMPLEMENTARITY PROBLEMS","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2358049154","mag":"2358049154"},"language":"en","primary_location":{"id":"mag:2358049154","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SXZZ200606021.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematics","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5053983632","display_name":"Bai Qin-xi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bai Qin-xi","raw_affiliation_strings":["School of Math"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Math","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5053983632"],"corresponding_institution_ids":[],"apc_list":{"value":2160,"currency":"USD","value_usd":2160},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9750999808311462,"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":0.9750999808311462,"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":0.008799999952316284,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.0066999997943639755,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"linear complementarity problem","score":0.9330000281333923},{"id":"https://openalex.org/keywords/potential-reduction-algorithm","display_name":"potential reduction algorithm","score":0.9570000171661377},{"id":"https://openalex.org/keywords/interior-point-methods","display_name":"interior point methods","score":0.9539999961853027},{"id":"https://openalex.org/keywords/sherman-morrison-woodbury-formula","display_name":"Sherman-Morrison-Woodbury formula","score":0.9589999914169312},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.4959999918937683}],"concepts":[{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.8784798383712769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7962480783462524},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7395427227020264},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.714229166507721},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.7109766006469727},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6952834725379944},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.6619548797607422},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5372469425201416},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4680195748806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4555450975894928},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3224080801010132},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11268410086631775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08102822303771973},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2358049154","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SXZZ200606021.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W159604667","https://openalex.org/W1649322005","https://openalex.org/W1994809998","https://openalex.org/W7099584526","https://openalex.org/W2387232651","https://openalex.org/W1995136572","https://openalex.org/W2044061073","https://openalex.org/W1570961610","https://openalex.org/W2790390579","https://openalex.org/W2192572548"],"abstract_inverted_index":{"In":[0],"this":[1,38],"paper,we":[2],"present":[3],"a":[4,32],"new":[5],"interior":[6,28],"point":[7,29],"method\u2014potential":[8],"reduction":[9,27],"algorithm":[10],"for":[11],"the":[12,19,23,35],"linear":[13],"complementarity":[14],"problems.Using":[15],"partial":[16],"updating":[17],"and":[18],"Sherman-Morrison-Woodbury":[20],"rule":[21],"on":[22],"top":[24],"of":[25,34],"potential":[26],"algorithm,we":[30],"obtain":[31],"solution":[33],"problem.Lastly,we":[36],"prove":[37],"method.":[39]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
