{"id":"https://openalex.org/W2012726395","doi":"https://doi.org/10.1090/s0025-5718-99-01082-0","title":"Improving the convergence of non-interior point algorithms for nonlinear complementarity problems","display_name":"Improving the convergence of non-interior point algorithms for nonlinear complementarity problems","publication_year":1999,"publication_date":"1999-02-19","ids":{"openalex":"https://openalex.org/W2012726395","doi":"https://doi.org/10.1090/s0025-5718-99-01082-0","mag":"2012726395"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-99-01082-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-99-01082-0","pdf_url":"https://www.ams.org/mcom/2000-69-229/S0025-5718-99-01082-0/S0025-5718-99-01082-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2000-69-229/S0025-5718-99-01082-0/S0025-5718-99-01082-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011886900","display_name":"Liqun Qi","orcid":"https://orcid.org/0000-0002-1112-5250"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Liqun Qi","raw_affiliation_strings":["School of Mathematics, The University of New South Wales, Sydney 2052, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of New South Wales, Sydney 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029911976","display_name":"Defeng Sun","orcid":"https://orcid.org/0000-0003-0481-272X"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Defeng Sun","raw_affiliation_strings":["School of Mathematics, The University of New South Wales, Sydney 2052, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of New South Wales, Sydney 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011886900"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":5.5614,"has_fulltext":true,"cited_by_count":78,"citation_normalized_percentile":{"value":0.95976331,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"69","issue":"229","first_page":"283","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.998199999332428,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.992900013923645,"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/mathematics","display_name":"Mathematics","score":0.8239927291870117},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.734743595123291},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6431285738945007},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5509881973266602},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5383236408233643},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5251229405403137},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.500361442565918},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.45303452014923096},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.41183003783226013},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3996107578277588},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.345354288816452},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1212703287601471}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8239927291870117},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.734743595123291},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6431285738945007},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5509881973266602},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5383236408233643},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5251229405403137},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.500361442565918},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.45303452014923096},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.41183003783226013},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3996107578277588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.345354288816452},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1212703287601471},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-99-01082-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-99-01082-0","pdf_url":"https://www.ams.org/mcom/2000-69-229/S0025-5718-99-01082-0/S0025-5718-99-01082-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.5198","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.5198","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.unsw.edu.au/~sun/qisun.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-99-01082-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-99-01082-0","pdf_url":"https://www.ams.org/mcom/2000-69-229/S0025-5718-99-01082-0/S0025-5718-99-01082-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5899999737739563,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012726395.pdf","grobid_xml":"https://content.openalex.org/works/W2012726395.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W68594018","https://openalex.org/W77078939","https://openalex.org/W187926898","https://openalex.org/W291192329","https://openalex.org/W1518039036","https://openalex.org/W1544526981","https://openalex.org/W1551360398","https://openalex.org/W1570961610","https://openalex.org/W1596169874","https://openalex.org/W1965504435","https://openalex.org/W1967759264","https://openalex.org/W1980614749","https://openalex.org/W1992688650","https://openalex.org/W2005148680","https://openalex.org/W2008814958","https://openalex.org/W2030169236","https://openalex.org/W2036368324","https://openalex.org/W2051192977","https://openalex.org/W2051269616","https://openalex.org/W2065691568","https://openalex.org/W2070890393","https://openalex.org/W2088052195","https://openalex.org/W2088550353","https://openalex.org/W2090963365","https://openalex.org/W2093246563","https://openalex.org/W2094900096","https://openalex.org/W2108105954","https://openalex.org/W2113734366","https://openalex.org/W2128234186","https://openalex.org/W2280470413","https://openalex.org/W2478091498","https://openalex.org/W2487893106","https://openalex.org/W2971350920","https://openalex.org/W4211027407","https://openalex.org/W4241481124","https://openalex.org/W4246495354","https://openalex.org/W4285719527","https://openalex.org/W4299512035","https://openalex.org/W6603151584","https://openalex.org/W6823476317"],"related_works":["https://openalex.org/W2385436733","https://openalex.org/W2085004531","https://openalex.org/W2357847751","https://openalex.org/W4294529879","https://openalex.org/W2128234186","https://openalex.org/W564691918","https://openalex.org/W2110652274","https://openalex.org/W157775922","https://openalex.org/W2350413157","https://openalex.org/W2011175430"],"abstract_inverted_index":{"Recently,":[0],"based":[1],"upon":[2],"the":[3,8,11,24,49,69],"Chen-Harker-Kanzow-Smale":[4],"smoothing":[5],"function":[6],"and":[7,10,15,45,72,82],"trajectory":[9],"neighbourhood":[12],"techniques,":[13],"Hotta":[14],"Yoshise":[16],"proposed":[17],"a":[18,34,58,64,75,86],"noninterior":[19],"point":[20],"algorithm":[21,29,44,71,79],"for":[22,53,63],"solving":[23],"nonlinear":[25,54],"complementarity":[26],"problem.":[27],"Their":[28],"is":[30,80,96],"globally":[31,59,81],"convergent":[32,61],"under":[33,90],"relatively":[35],"mild":[36],"condition.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"modify":[42],"their":[43],"combine":[46],"it":[47],"with":[48,85],"superlinear":[50],"convergence":[51,87],"theory":[52],"equations.":[55],"We":[56],"provide":[57],"linearly":[60],"result":[62],"slightly":[65],"updated":[66],"version":[67],"of":[68],"Hotta-Yoshise":[70,78],"show":[73],"that":[74],"further":[76],"modified":[77],"superlinearly":[83],"convergent,":[84],"$Q$-order":[88],"$1+t$,":[89],"suitable":[91],"conditions,":[92],"where":[93],"$t\\in":[94],"(0,1)$":[95],"an":[97],"additional":[98],"parameter.":[99]},"counts_by_year":[{"year":2022,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}