{"id":"https://openalex.org/W1976459730","doi":"https://doi.org/10.1007/s10589-009-9309-7","title":"A new hybrid method for nonlinear complementarity problems","display_name":"A new hybrid method for nonlinear complementarity problems","publication_year":2009,"publication_date":"2009-11-30","ids":{"openalex":"https://openalex.org/W1976459730","doi":"https://doi.org/10.1007/s10589-009-9309-7","mag":"1976459730"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9309-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9309-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055101551","display_name":"Shaojian Qu","orcid":"https://orcid.org/0000-0002-4746-270X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Shao-Jian Qu","raw_affiliation_strings":["Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Rm. 519, Bldg. 2H, 2 Yikuang Str., Nangang Dist., Harbin, 150080, P.R. China","Department of Decision Sciences, National University of Singapore, 1 Business Link, Singapore, 117592, Singapore","Department of Decision Sciences, National University of Singapore, Singapore, Singapore 117592 and Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Nangang Dist. "],"affiliations":[{"raw_affiliation_string":"Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Rm. 519, Bldg. 2H, 2 Yikuang Str., Nangang Dist., Harbin, 150080, P.R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Decision Sciences, National University of Singapore, 1 Business Link, Singapore, 117592, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Decision Sciences, National University of Singapore, Singapore, Singapore 117592 and Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Nangang Dist. ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010175452","display_name":"Mark Goh","orcid":"https://orcid.org/0000-0002-3620-7658"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Mark Goh","raw_affiliation_strings":["Department of Decision Sciences, National University of Singapore, 1 Business Link, Singapore, 117592, Singapore","Department of Decision Sciences, National University of Singapore, Singapore, Singapore 117592"],"affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, National University of Singapore, 1 Business Link, Singapore, 117592, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Decision Sciences, National University of Singapore, Singapore, Singapore 117592","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024732368","display_name":"Xiujie Zhang","orcid":"https://orcid.org/0000-0001-8951-3280"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiujie Zhang","raw_affiliation_strings":["Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Rm. 519, Bldg. 2H, 2 Yikuang Str., Nangang Dist., Harbin, 150080, P.R. China","Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Nangang Dist., Harbin, P.R. China 150080#TAB#"],"affiliations":[{"raw_affiliation_string":"Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Rm. 519, Bldg. 2H, 2 Yikuang Str., Nangang Dist., Harbin, 150080, P.R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute Technology, Nangang Dist., Harbin, P.R. China 150080#TAB#","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055101551"],"corresponding_institution_ids":["https://openalex.org/I165932596","https://openalex.org/I204983213"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4763,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63071298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"49","issue":"3","first_page":"493","last_page":"520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9789000153541565,"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":0.9502999782562256,"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/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.8486328125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7827848196029663},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.7573623061180115},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.7509644031524658},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6774519085884094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6720685958862305},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.552314281463623},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5447079539299011},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5348737239837646},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5213293433189392},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5061249136924744},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41757577657699585},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.379921019077301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37578365206718445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.192733496427536}],"concepts":[{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.8486328125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7827848196029663},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7573623061180115},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.7509644031524658},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6774519085884094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6720685958862305},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.552314281463623},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5447079539299011},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5348737239837646},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5213293433189392},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5061249136924744},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41757577657699585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.379921019077301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37578365206718445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.192733496427536},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10589-009-9309-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9309-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/116906","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/116906","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"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":"Scopus","raw_type":"Article"},{"id":"pmh:oai:RePEc:spr:coopap:v:49:y:2011:i:3:p:493-520","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-009-9309-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:alma.61RMIT_INST:11247079670001341","is_oa":false,"landing_page_url":"http://doi.org/10.1007/s10589-009-9309-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/27470112","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/27470112","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W5734836","https://openalex.org/W68625828","https://openalex.org/W129805247","https://openalex.org/W296397105","https://openalex.org/W621833885","https://openalex.org/W1485035947","https://openalex.org/W1518078339","https://openalex.org/W1564612581","https://openalex.org/W1586056472","https://openalex.org/W1599532185","https://openalex.org/W1604665355","https://openalex.org/W1967759264","https://openalex.org/W1969991107","https://openalex.org/W1985076611","https://openalex.org/W1986742476","https://openalex.org/W1991419315","https://openalex.org/W1993647205","https://openalex.org/W1994556784","https://openalex.org/W1996723024","https://openalex.org/W2001508169","https://openalex.org/W2004436561","https://openalex.org/W2007895112","https://openalex.org/W2010661079","https://openalex.org/W2011207292","https://openalex.org/W2023092664","https://openalex.org/W2036930530","https://openalex.org/W2040628347","https://openalex.org/W2043430160","https://openalex.org/W2051269616","https://openalex.org/W2056293789","https://openalex.org/W2069976088","https://openalex.org/W2070890393","https://openalex.org/W2071786165","https://openalex.org/W2087136707","https://openalex.org/W2093246563","https://openalex.org/W2094879958","https://openalex.org/W2119994280","https://openalex.org/W2128234186","https://openalex.org/W2131539613","https://openalex.org/W2151902790","https://openalex.org/W2471988522","https://openalex.org/W2971350920","https://openalex.org/W4211027407","https://openalex.org/W4240246213"],"related_works":["https://openalex.org/W2091810828","https://openalex.org/W2085004531","https://openalex.org/W2774961640","https://openalex.org/W2157124849","https://openalex.org/W2384374169","https://openalex.org/W2355923073","https://openalex.org/W2347608783","https://openalex.org/W2376754743","https://openalex.org/W2355908733","https://openalex.org/W2159162654"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
