{"id":"https://openalex.org/W4367846864","doi":"https://doi.org/10.1007/s12190-023-01866-8","title":"A modulus-based matrix splitting method for the vertical nonlinear complementarity problem","display_name":"A modulus-based matrix splitting method for the vertical nonlinear complementarity problem","publication_year":2023,"publication_date":"2023-05-03","ids":{"openalex":"https://openalex.org/W4367846864","doi":"https://doi.org/10.1007/s12190-023-01866-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-023-01866-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-023-01866-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5049014810","display_name":"Shuilian Xie","orcid":"https://orcid.org/0000-0001-5744-5113"},"institutions":[{"id":"https://openalex.org/I160391749","display_name":"Jiaying University","ror":"https://ror.org/018jdfk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I160391749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuilian Xie","raw_affiliation_strings":["School of Mathematics, Jiaying University, Meizhou, 514015, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jiaying University, Meizhou, 514015, China","institution_ids":["https://openalex.org/I160391749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111342801","display_name":"Zhen-Ping Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I160391749","display_name":"Jiaying University","ror":"https://ror.org/018jdfk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I160391749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen-Ping Yang","raw_affiliation_strings":["School of Mathematics, Jiaying University, Meizhou, 514015, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jiaying University, Meizhou, 514015, China","institution_ids":["https://openalex.org/I160391749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025326673","display_name":"Hongru Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I160391749","display_name":"Jiaying University","ror":"https://ror.org/018jdfk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I160391749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongru Xu","raw_affiliation_strings":["School of Mathematics, Jiaying University, Meizhou, 514015, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jiaying University, Meizhou, 514015, China","institution_ids":["https://openalex.org/I160391749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111342801"],"corresponding_institution_ids":["https://openalex.org/I160391749"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2091,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81570102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"69","issue":"4","first_page":"2987","last_page":"3003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987999796867371,"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":0.992900013923645,"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":0.9689000248908997,"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":0.8419601917266846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7890132665634155},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7441620826721191},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.7265423536300659},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.704626202583313},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.6818732619285583},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5896353721618652},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5765945911407471},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.554094672203064},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5300934910774231},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5082938075065613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49642306566238403},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.4901665151119232},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4482800364494324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18211549520492554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08974897861480713}],"concepts":[{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.8419601917266846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7890132665634155},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7441620826721191},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.7265423536300659},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.704626202583313},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.6818732619285583},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5896353721618652},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5765945911407471},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.554094672203064},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5300934910774231},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5082938075065613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49642306566238403},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.4901665151119232},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4482800364494324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18211549520492554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08974897861480713},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-023-01866-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-023-01866-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G2091826405","display_name":null,"funder_award_id":"2022A1515010263","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G8805503276","display_name":null,"funder_award_id":"12101262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1895449975","https://openalex.org/W1956819437","https://openalex.org/W1982337446","https://openalex.org/W1994335404","https://openalex.org/W2005338952","https://openalex.org/W2027214318","https://openalex.org/W2063686441","https://openalex.org/W2066977799","https://openalex.org/W2087353196","https://openalex.org/W2089529944","https://openalex.org/W2090540854","https://openalex.org/W2607344773","https://openalex.org/W3195563679","https://openalex.org/W4205909128","https://openalex.org/W4206979931","https://openalex.org/W4286689066","https://openalex.org/W4295950344","https://openalex.org/W4299512035","https://openalex.org/W4308434644"],"related_works":["https://openalex.org/W2091810828","https://openalex.org/W2761564338","https://openalex.org/W2097564522","https://openalex.org/W4312668273","https://openalex.org/W2767061585","https://openalex.org/W2126747412","https://openalex.org/W2963018695","https://openalex.org/W2038257044","https://openalex.org/W2044498705","https://openalex.org/W1967766580"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}
