{"id":"https://openalex.org/W3137061419","doi":"https://doi.org/10.1007/s10957-021-01839-6","title":"A Nonmonotone Smoothing Newton Algorithm for Weighted Complementarity Problem","display_name":"A Nonmonotone Smoothing Newton Algorithm for Weighted Complementarity Problem","publication_year":2021,"publication_date":"2021-03-20","ids":{"openalex":"https://openalex.org/W3137061419","doi":"https://doi.org/10.1007/s10957-021-01839-6","mag":"3137061419"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01839-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01839-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.lsu.edu/mathematics_pubs/1912","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021353344","display_name":"Jingyong Tang","orcid":"https://orcid.org/0000-0002-3038-5605"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyong Tang","raw_affiliation_strings":["School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101893795","display_name":"Hongchao Zhang","orcid":"https://orcid.org/0000-0003-2518-6975"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hongchao Zhang","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, 303 Lockett Hall, Baton Rouge, LA, 70803-4918, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, 303 Lockett Hall, Baton Rouge, LA, 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101893795"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.2043,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9727784,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"189","issue":"3","first_page":"679","last_page":"715"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9954000115394592,"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":0.9943000078201294,"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":0.7711949348449707},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.708696722984314},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6662968397140503},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.661220371723175},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.6115838289260864},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5397509336471558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47509443759918213},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46646392345428467},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.46244698762893677},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4562664031982422},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4434010684490204},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.437637597322464},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.42961257696151733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42164066433906555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42013439536094666},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4114438593387604},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.2665373682975769},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16938817501068115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13946032524108887},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07573869824409485}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7711949348449707},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.708696722984314},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6662968397140503},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.661220371723175},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.6115838289260864},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5397509336471558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47509443759918213},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46646392345428467},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.46244698762893677},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4562664031982422},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4434010684490204},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.437637597322464},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.42961257696151733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42164066433906555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42013439536094666},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4114438593387604},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2665373682975769},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16938817501068115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13946032524108887},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07573869824409485},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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":3,"locations":[{"id":"doi:10.1007/s10957-021-01839-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01839-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:189:y:2021:i:3:d:10.1007_s10957-021-01839-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01839-6","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:repository.lsu.edu:mathematics_pubs-2914","is_oa":true,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/1912","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-2914","is_oa":true,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/1912","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1190271802","display_name":null,"funder_award_id":"11601466","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3153458163","display_name":null,"funder_award_id":"1819161","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8271635057","display_name":null,"funder_award_id":"1522654","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W253696374","https://openalex.org/W258430402","https://openalex.org/W1544526981","https://openalex.org/W1551360398","https://openalex.org/W1966794100","https://openalex.org/W1973281249","https://openalex.org/W1979608450","https://openalex.org/W1980212025","https://openalex.org/W1981798765","https://openalex.org/W1992688650","https://openalex.org/W1996485070","https://openalex.org/W2003333852","https://openalex.org/W2004331813","https://openalex.org/W2010003677","https://openalex.org/W2014664654","https://openalex.org/W2017356678","https://openalex.org/W2017417361","https://openalex.org/W2022090011","https://openalex.org/W2036443274","https://openalex.org/W2047723960","https://openalex.org/W2050967416","https://openalex.org/W2051854038","https://openalex.org/W2065986800","https://openalex.org/W2073198536","https://openalex.org/W2079979106","https://openalex.org/W2082307120","https://openalex.org/W2082451773","https://openalex.org/W2095500353","https://openalex.org/W2141616558","https://openalex.org/W2152453276","https://openalex.org/W2167137033","https://openalex.org/W2283324111","https://openalex.org/W2469729643","https://openalex.org/W2572594781","https://openalex.org/W2600619290","https://openalex.org/W2778886317","https://openalex.org/W3047145396"],"related_works":["https://openalex.org/W2091810828","https://openalex.org/W2085004531","https://openalex.org/W2157124849","https://openalex.org/W2968579382","https://openalex.org/W3003212247","https://openalex.org/W2097564522","https://openalex.org/W1525262501","https://openalex.org/W1912937193","https://openalex.org/W2026306944","https://openalex.org/W2016273776"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
