{"id":"https://openalex.org/W2971289269","doi":"https://doi.org/10.1007/s10898-019-00828-4","title":"A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems","display_name":"A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems","publication_year":2019,"publication_date":"2019-08-29","ids":{"openalex":"https://openalex.org/W2971289269","doi":"https://doi.org/10.1007/s10898-019-00828-4","mag":"2971289269"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00828-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00828-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5000747447","display_name":"Kai Tu","orcid":"https://orcid.org/0000-0002-0557-6792"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Tu","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100356596","display_name":"Haibin Zhang","orcid":"https://orcid.org/0009-0001-1142-9289"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haibin Zhang","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082112843","display_name":"Huan Gao","orcid":"https://orcid.org/0000-0003-0860-2033"},"institutions":[{"id":"https://openalex.org/I916048824","display_name":"Hunan First Normal University","ror":"https://ror.org/00s9d1a36","country_code":"CN","type":"education","lineage":["https://openalex.org/I916048824"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huan Gao","raw_affiliation_strings":["College of Mathematics and Computational Science, Hunan First Normal University, Changsha, 410205, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Hunan First Normal University, Changsha, 410205, Hunan, China","institution_ids":["https://openalex.org/I916048824"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087847629","display_name":"Junkai Feng","orcid":"https://orcid.org/0000-0003-0498-6455"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junkai Feng","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082112843"],"corresponding_institution_ids":["https://openalex.org/I916048824"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.5606,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.64617184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"76","issue":"4","first_page":"665","last_page":"693"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9868000149726868,"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":0.8420215249061584},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.8217343091964722},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6806997060775757},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.6710119843482971},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.624979555606842},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.585576593875885},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.5752967596054077},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5295822620391846},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5080149173736572},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4750012159347534},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.47382816672325134},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4671933650970459},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44269320368766785},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.42927026748657227},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41934025287628174},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.41250866651535034},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.41229212284088135},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.3799048662185669},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13061478734016418}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8420215249061584},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8217343091964722},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6806997060775757},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.6710119843482971},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.624979555606842},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.585576593875885},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.5752967596054077},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5295822620391846},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5080149173736572},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4750012159347534},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.47382816672325134},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4671933650970459},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44269320368766785},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.42927026748657227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41934025287628174},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.41250866651535034},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.41229212284088135},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.3799048662185669},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13061478734016418},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-019-00828-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00828-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:76:y:2020:i:4:d:10.1007_s10898-019-00828-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00828-4","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":[],"awards":[{"id":"https://openalex.org/G316850008","display_name":null,"funder_award_id":"11801161","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3231458295","display_name":null,"funder_award_id":"2018JJ3093","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G3437049041","display_name":"\u53d8\u91cf\u90e8\u5206\u7a00\u758f\u6b63\u5219\u5316\u7b97\u6cd5\u8bbe\u8ba1\u4e0e\u7814\u7a76","funder_award_id":"11771003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5826540487","display_name":null,"funder_award_id":"61179033","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/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1125881252","https://openalex.org/W1586417863","https://openalex.org/W1636781679","https://openalex.org/W1682665945","https://openalex.org/W1969387119","https://openalex.org/W1979079714","https://openalex.org/W1986080131","https://openalex.org/W1996286740","https://openalex.org/W2023722580","https://openalex.org/W2027982384","https://openalex.org/W2030058292","https://openalex.org/W2045079045","https://openalex.org/W2051664786","https://openalex.org/W2057578212","https://openalex.org/W2058532290","https://openalex.org/W2064437806","https://openalex.org/W2066863590","https://openalex.org/W2078853581","https://openalex.org/W2080902082","https://openalex.org/W2089106993","https://openalex.org/W2089343684","https://openalex.org/W2092607002","https://openalex.org/W2100556411","https://openalex.org/W2103215959","https://openalex.org/W2103559027","https://openalex.org/W2124541940","https://openalex.org/W2127436071","https://openalex.org/W2142224912","https://openalex.org/W2163232332","https://openalex.org/W2164278908","https://openalex.org/W2340859457","https://openalex.org/W2435347668","https://openalex.org/W2471604734","https://openalex.org/W2516602727","https://openalex.org/W2576873436","https://openalex.org/W2616252726","https://openalex.org/W2738241071","https://openalex.org/W2745841187","https://openalex.org/W2752360672","https://openalex.org/W2769032176","https://openalex.org/W2890947376","https://openalex.org/W2913535645","https://openalex.org/W2962853966","https://openalex.org/W2963183000","https://openalex.org/W2963529998","https://openalex.org/W2963598490","https://openalex.org/W2963960715","https://openalex.org/W2963965252","https://openalex.org/W2964011556","https://openalex.org/W3104148512","https://openalex.org/W3105393233","https://openalex.org/W3124114587","https://openalex.org/W3141595720","https://openalex.org/W3157341860","https://openalex.org/W4229650096","https://openalex.org/W4246327874","https://openalex.org/W4249513058","https://openalex.org/W4256068510","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W6601756569","https://openalex.org/W6604009900"],"related_works":["https://openalex.org/W1985647046","https://openalex.org/W2494177572","https://openalex.org/W2045238914","https://openalex.org/W2974373334","https://openalex.org/W3175130380","https://openalex.org/W2053616442","https://openalex.org/W2905950575","https://openalex.org/W1516639947","https://openalex.org/W2101504640","https://openalex.org/W2090509320"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}