{"id":"https://openalex.org/W4400902884","doi":"https://doi.org/10.1080/10556788.2024.2380697","title":"The Dai\u2013Liao-type conjugate gradient methods for solving vector optimization problems","display_name":"The Dai\u2013Liao-type conjugate gradient methods for solving vector optimization problems","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400902884","doi":"https://doi.org/10.1080/10556788.2024.2380697"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2024.2380697","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2380697","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/A5100609044","display_name":"Boya Zhang","orcid":"https://orcid.org/0000-0001-8079-1364"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo-Ya Zhang","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University","College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111265548","display_name":"Qing-Rui He","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing-Rui He","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University","College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049842476","display_name":"Chun-Rong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210123333","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137","country_code":"TH","type":"government","lineage":["https://openalex.org/I4210123333"]},{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN","TH"],"is_corresponding":true,"raw_author_name":"Chun-Rong Chen","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University","Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education","College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education, Chongqing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education","institution_ids":["https://openalex.org/I4210123333"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111597009","display_name":"Shengjie Li","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]},{"id":"https://openalex.org/I4210123333","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137","country_code":"TH","type":"government","lineage":["https://openalex.org/I4210123333"]}],"countries":["CN","TH"],"is_corresponding":false,"raw_author_name":"Sheng-Jie Li","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University","Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education","College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education, Chongqing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education","institution_ids":["https://openalex.org/I4210123333"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"Key Laboratory of Nonlinear Analysis and its Applications (Chongqing University), Ministry of Education, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100633766","display_name":"Minghua Li","orcid":"https://orcid.org/0000-0002-7857-6670"},"institutions":[{"id":"https://openalex.org/I4210110609","display_name":"Chongqing University of Arts and Sciences","ror":"https://ror.org/01rcvq140","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110609"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Hua Li","raw_affiliation_strings":["School of Mathematics and Artificial Intelligence, Chongqing University of Arts and Sciences","School of Mathematics and Artificial Intelligence, Chongqing University of Arts and Sciences, Chongqing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Artificial Intelligence, Chongqing University of Arts and Sciences","institution_ids":["https://openalex.org/I4210110609"]},{"raw_affiliation_string":"School of Mathematics and Artificial Intelligence, Chongqing University of Arts and Sciences, Chongqing, People's Republic of China","institution_ids":["https://openalex.org/I4210110609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5049842476"],"corresponding_institution_ids":["https://openalex.org/I158842170","https://openalex.org/I4210123333"],"apc_list":null,"apc_paid":null,"fwci":8.9237,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.98859075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"40","issue":"1","first_page":"157","last_page":"191"},"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":0.9943000078201294,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9923999905586243,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8184610605239868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8075334429740906},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.6644127368927002},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.647749662399292},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6467504501342773},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.4986433982849121},{"id":"https://openalex.org/keywords/derivation-of-the-conjugate-gradient-method","display_name":"Derivation of the conjugate gradient method","score":0.4775717556476593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4768223166465759},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.42402926087379456},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.42257049679756165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40908223390579224},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3656166195869446},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.17403584718704224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15735021233558655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15600627660751343},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1522611379623413},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.11218556761741638},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.04962053894996643}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8184610605239868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8075334429740906},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.6644127368927002},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.647749662399292},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6467504501342773},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.4986433982849121},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.4775717556476593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4768223166465759},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.42402926087379456},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.42257049679756165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40908223390579224},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3656166195869446},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.17403584718704224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15735021233558655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15600627660751343},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1522611379623413},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.11218556761741638},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.04962053894996643},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2024.2380697","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2380697","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/G7725862334","display_name":null,"funder_award_id":"2022YFB3304500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7860564214","display_name":null,"funder_award_id":"12271072","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W89654658","https://openalex.org/W150175414","https://openalex.org/W646582900","https://openalex.org/W1606015457","https://openalex.org/W1970895334","https://openalex.org/W1975024103","https://openalex.org/W1980432290","https://openalex.org/W2004586020","https://openalex.org/W2012231377","https://openalex.org/W2014851363","https://openalex.org/W2018215034","https://openalex.org/W2021965564","https://openalex.org/W2024008934","https://openalex.org/W2050358508","https://openalex.org/W2052471135","https://openalex.org/W2056603712","https://openalex.org/W2063375245","https://openalex.org/W2064114515","https://openalex.org/W2066743741","https://openalex.org/W2075313995","https://openalex.org/W2091549324","https://openalex.org/W2091874256","https://openalex.org/W2098593811","https://openalex.org/W2100717205","https://openalex.org/W2108560279","https://openalex.org/W2117411467","https://openalex.org/W2122859623","https://openalex.org/W2127519119","https://openalex.org/W2143185749","https://openalex.org/W2149454052","https://openalex.org/W2153015072","https://openalex.org/W2316564661","https://openalex.org/W2612421023","https://openalex.org/W2625981504","https://openalex.org/W2736319691","https://openalex.org/W2889351029","https://openalex.org/W2893010165","https://openalex.org/W2960169247","https://openalex.org/W2981335079","https://openalex.org/W2994752162","https://openalex.org/W3000416633","https://openalex.org/W3013996897","https://openalex.org/W3101838719","https://openalex.org/W3123714067","https://openalex.org/W4220777183","https://openalex.org/W4286005551","https://openalex.org/W4315781566","https://openalex.org/W4367182404","https://openalex.org/W4385444892","https://openalex.org/W4391160797","https://openalex.org/W6603640814"],"related_works":["https://openalex.org/W2005717169","https://openalex.org/W2098528027","https://openalex.org/W2183734858","https://openalex.org/W3159557833","https://openalex.org/W4319027779","https://openalex.org/W4291138102","https://openalex.org/W2357791884","https://openalex.org/W3159907817","https://openalex.org/W2388344948","https://openalex.org/W3082608044"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
