{"id":"https://openalex.org/W4224218879","doi":"https://doi.org/10.1142/s0217595922500178","title":"A Nonmonotone Smoothing-Type Algorithm for a System of Inequalities Associated with Circular Cones","display_name":"A Nonmonotone Smoothing-Type Algorithm for a System of Inequalities Associated with Circular Cones","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W4224218879","doi":"https://doi.org/10.1142/s0217595922500178"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595922500178","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595922500178","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5108043675","display_name":"He Huang","orcid":"https://orcid.org/0000-0001-6991-823X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He Huang","raw_affiliation_strings":["College of Management and Economics, Tianjin University, No. 92, Weijin Road, Tianjin 300072, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Management and Economics, Tianjin University, No. 92, Weijin Road, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062766863","display_name":"Nuo Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nuo Qi","raw_affiliation_strings":["School of Mathematics, Tianjin University, No. 135, Yaguan Road, Tianjin 300350, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tianjin University, No. 135, Yaguan Road, Tianjin 300350, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066902317","display_name":"Xin-He Miao","orcid":null},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xin-He Miao","raw_affiliation_strings":["School of Mathematics, Tianjin University, No. 135, Yaguan Road, Tianjin 300350, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tianjin University, No. 135, Yaguan Road, Tianjin 300350, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066902317"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05168024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.8273201584815979},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.8052679896354675},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8012725710868835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6994154453277588},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6061578989028931},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5275677442550659},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48203814029693604},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4752086102962494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4729694426059723},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4283662736415863},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4249928891658783},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20703524351119995}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8273201584815979},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.8052679896354675},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8012725710868835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6994154453277588},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6061578989028931},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5275677442550659},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48203814029693604},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4752086102962494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4729694426059723},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4283662736415863},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4249928891658783},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20703524351119995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595922500178","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595922500178","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:40:y:2023:i:02:n:s0217595922500178","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595922500178","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5299999713897705,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2099803721","display_name":null,"funder_award_id":"11871051","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G901281048","display_name":null,"funder_award_id":"11471241","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1560867458","https://openalex.org/W1598004004","https://openalex.org/W1973281249","https://openalex.org/W1976822288","https://openalex.org/W1992688650","https://openalex.org/W2015113450","https://openalex.org/W2055390480","https://openalex.org/W2064678310","https://openalex.org/W2093771361","https://openalex.org/W2102079036","https://openalex.org/W2113734366","https://openalex.org/W2138620880","https://openalex.org/W2158007057","https://openalex.org/W2167137033","https://openalex.org/W2289447602","https://openalex.org/W4210953350","https://openalex.org/W4234068421","https://openalex.org/W4237878614","https://openalex.org/W4385738287"],"related_works":["https://openalex.org/W2391529511","https://openalex.org/W2062396207","https://openalex.org/W2385436733","https://openalex.org/W2357847751","https://openalex.org/W2351086736","https://openalex.org/W2886474559","https://openalex.org/W2068075124","https://openalex.org/W4224218879","https://openalex.org/W2015590640","https://openalex.org/W2732043546"],"abstract_inverted_index":{"In":[0,30,52],"this":[1],"paper,":[2],"we":[3,32],"consider":[4],"a":[5,15,24,34,44],"system":[6,25],"of":[7,26,46],"inequalities":[8],"associated":[9],"with":[10],"circular":[11],"cones.":[12],"By":[13],"constructing":[14],"new":[16],"smoothing":[17],"function,":[18],"the":[19,39,47,54,74],"problem":[20,48],"is":[21,50,56,76],"reformulated":[22],"as":[23],"parameterized":[27],"smooth":[28,40],"equations.":[29],"addition,":[31],"suggest":[33],"Newton-type":[35],"algorithm":[36,55,75],"for":[37],"solving":[38],"equations":[41],"so":[42],"that":[43,73],"solution":[45],"concerned":[49],"found.":[51],"particular,":[53],"proved":[57],"to":[58],"be":[59],"globally":[60],"and":[61],"locally":[62],"quadratically":[63],"convergent":[64],"under":[65],"suitable":[66],"conditions.":[67],"The":[68],"preliminary":[69],"numerical":[70],"results":[71],"demonstrate":[72],"effective.":[77]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}