{"id":"https://openalex.org/W3018742960","doi":"https://doi.org/10.1080/10556788.2020.1755861","title":"On SOR-like iteration methods for solving weakly nonlinear systems","display_name":"On SOR-like iteration methods for solving weakly nonlinear systems","publication_year":2020,"publication_date":"2020-04-20","ids":{"openalex":"https://openalex.org/W3018742960","doi":"https://doi.org/10.1080/10556788.2020.1755861","mag":"3018742960"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2020.1755861","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1755861","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5055815688","display_name":"Yifen Ke","orcid":"https://orcid.org/0000-0002-0767-7722"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifen Ke","raw_affiliation_strings":["College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou, People's Republic of China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055834436","display_name":"Changfeng Ma","orcid":"https://orcid.org/0000-0002-5936-789X"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Changfeng Ma","raw_affiliation_strings":["College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou, People's Republic of China","institution_ids":["https://openalex.org/I111753288"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055834436"],"corresponding_institution_ids":["https://openalex.org/I111753288"],"apc_list":null,"apc_paid":null,"fwci":0.8443,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78349665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"37","issue":"1","first_page":"320","last_page":"337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9952999949455261,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9930999875068665,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7848464250564575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7821910381317139},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5987476110458374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5533336997032166},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4542752206325531},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4520818591117859},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.41990023851394653},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32874828577041626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15071946382522583},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.14224761724472046},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.048553287982940674}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7848464250564575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7821910381317139},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5987476110458374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5533336997032166},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4542752206325531},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4520818591117859},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.41990023851394653},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32874828577041626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15071946382522583},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.14224761724472046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.048553287982940674},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2020.1755861","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1755861","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2808228340","display_name":null,"funder_award_id":"XDC01040100","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"},{"id":"https://openalex.org/G6334885127","display_name":null,"funder_award_id":"11901098 and U1839207","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/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W224455513","https://openalex.org/W584634945","https://openalex.org/W1500921805","https://openalex.org/W1546004968","https://openalex.org/W1653966420","https://openalex.org/W1950693819","https://openalex.org/W1964493541","https://openalex.org/W1982337446","https://openalex.org/W2002102128","https://openalex.org/W2003919943","https://openalex.org/W2009835983","https://openalex.org/W2013760236","https://openalex.org/W2054786539","https://openalex.org/W2056978740","https://openalex.org/W2060214248","https://openalex.org/W2064186261","https://openalex.org/W2065455220","https://openalex.org/W2072835905","https://openalex.org/W2073100346","https://openalex.org/W2092639635","https://openalex.org/W2095485006","https://openalex.org/W2114065885","https://openalex.org/W2513915616","https://openalex.org/W2537281282","https://openalex.org/W2966430741","https://openalex.org/W4206097460","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W48032855","https://openalex.org/W1986700332","https://openalex.org/W2774961640","https://openalex.org/W4245246689","https://openalex.org/W4229698667","https://openalex.org/W2351774575","https://openalex.org/W2384374169","https://openalex.org/W4294529879","https://openalex.org/W2085004531","https://openalex.org/W2348059586"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"a":[5,30],"class":[6],"of":[7,15,37,47],"SOR-like":[8],"iteration":[9,71],"methods":[10,72],"for":[11,56,77],"solving":[12,78],"the":[13,16,25,38,48,57,63,69,79],"systems":[14],"weakly":[17,26,80],"nonlinear":[18,27,33,59,81],"equation,":[19],"which":[20],"is":[21],"by":[22],"reformulating":[23],"equivalently":[24],"equation":[28,61],"as":[29],"two-by-two":[31],"block":[32],"equation.":[34],"Two":[35],"types":[36],"global":[39],"convergence":[40],"theorems":[41],"are":[42,73],"given":[43],"under":[44],"suitable":[45],"choices":[46],"involved":[49],"splitting":[50],"matrix":[51],"and":[52,62,75],"parameter.":[53],"Numerical":[54],"results":[55],"three-dimensional":[58],"convection-diffusion":[60],"linear":[64],"complementarity":[65],"problem":[66],"show":[67],"that":[68],"proposed":[70],"feasible":[74],"efficient":[76],"equations.":[82]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}