{"id":"https://openalex.org/W4286111413","doi":"https://doi.org/10.1007/s12190-022-01773-4","title":"The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems","display_name":"The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems","publication_year":2022,"publication_date":"2022-07-21","ids":{"openalex":"https://openalex.org/W4286111413","doi":"https://doi.org/10.1007/s12190-022-01773-4"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-022-01773-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01773-4","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/A5038217113","display_name":"Ximing Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I183816158","display_name":"Zhaoqing University","ror":"https://ror.org/025n5kj18","country_code":"CN","type":"education","lineage":["https://openalex.org/I183816158"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ximing Fang","raw_affiliation_strings":["School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, 526000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, 526000, China","institution_ids":["https://openalex.org/I183816158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038217113"],"corresponding_institution_ids":["https://openalex.org/I183816158"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6015,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70260291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"1","first_page":"853","last_page":"870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9944999814033508,"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/T11416","display_name":"Numerical methods for differential equations","score":0.984000027179718,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7814780473709106},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.7698058485984802},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6937218308448792},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6270385980606079},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5527898669242859},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5253017544746399},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5216962695121765},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5115712285041809},{"id":"https://openalex.org/keywords/matrix-splitting","display_name":"Matrix splitting","score":0.5071852207183838},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.49654942750930786},{"id":"https://openalex.org/keywords/convergent-matrix","display_name":"Convergent matrix","score":0.48223647475242615},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4718087911605835},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46882009506225586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3974413573741913},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3221208453178406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23531940579414368},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.21991759538650513},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.19835397601127625},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1884390413761139},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.18798965215682983},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0839594304561615}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7814780473709106},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7698058485984802},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6937218308448792},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6270385980606079},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5527898669242859},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5253017544746399},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5216962695121765},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5115712285041809},{"id":"https://openalex.org/C133589720","wikidata":"https://www.wikidata.org/wiki/Q6787891","display_name":"Matrix splitting","level":5,"score":0.5071852207183838},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.49654942750930786},{"id":"https://openalex.org/C9848182","wikidata":"https://www.wikidata.org/wiki/Q5166397","display_name":"Convergent matrix","level":5,"score":0.48223647475242615},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4718087911605835},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46882009506225586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3974413573741913},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3221208453178406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23531940579414368},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.21991759538650513},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.19835397601127625},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1884390413761139},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18798965215682983},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0839594304561615},{"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/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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-022-01773-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01773-4","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":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W174049764","https://openalex.org/W651794677","https://openalex.org/W1963924275","https://openalex.org/W1978505566","https://openalex.org/W1982337446","https://openalex.org/W2001652268","https://openalex.org/W2011026819","https://openalex.org/W2024146995","https://openalex.org/W2029220544","https://openalex.org/W2031900145","https://openalex.org/W2062228304","https://openalex.org/W2063686441","https://openalex.org/W2089529944","https://openalex.org/W2128234186","https://openalex.org/W2461140433","https://openalex.org/W2524964978","https://openalex.org/W2781793179","https://openalex.org/W2898486963","https://openalex.org/W2910218657","https://openalex.org/W2914714640","https://openalex.org/W3004347486","https://openalex.org/W3008399604","https://openalex.org/W3035235874","https://openalex.org/W3037478531","https://openalex.org/W3182554030","https://openalex.org/W4206719745","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W4280573432","https://openalex.org/W2010888594","https://openalex.org/W4226246354","https://openalex.org/W4308901005","https://openalex.org/W2054555666","https://openalex.org/W4366735452","https://openalex.org/W2006327923","https://openalex.org/W1664553927","https://openalex.org/W2383395740","https://openalex.org/W4376122879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
