{"id":"https://openalex.org/W2884955443","doi":"https://doi.org/10.1007/s10957-018-1345-y","title":"Convergence Analysis of Difference-of-Convex Algorithm with Subanalytic Data","display_name":"Convergence Analysis of Difference-of-Convex Algorithm with Subanalytic Data","publication_year":2018,"publication_date":"2018-07-26","ids":{"openalex":"https://openalex.org/W2884955443","doi":"https://doi.org/10.1007/s10957-018-1345-y","mag":"2884955443"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-1345-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1345-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/A5042936176","display_name":"Hoai An Le Thi","orcid":"https://orcid.org/0000-0002-2239-2100"},"institutions":[{"id":"https://openalex.org/I1288283403","display_name":"Georgia Tech Lorraine","ror":"https://ror.org/02m5dy175","country_code":"FR","type":"education","lineage":["https://openalex.org/I1288283403"]},{"id":"https://openalex.org/I4387155471","display_name":"Laboratoire de G\u00e9nie Informatique, de Production et de Maintenance","ror":"https://ror.org/04xykxd72","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210150706","https://openalex.org/I4387155471","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hoai An Le Thi","raw_affiliation_strings":["Laboratory of Theoretical and Applied Computer Science, University of Lorraine, Site de Metz, Ile du Saulcy, 57045, Metz, France","LGIPM - Laboratoire de G\u00e9nie Informatique, de Production et de Maintenance (UFR MIM/B\u00e2t. A, 3 rue Augustin Fresnel, BP 45112, 57073 METZ Cedex 03 - France)"],"affiliations":[{"raw_affiliation_string":"Laboratory of Theoretical and Applied Computer Science, University of Lorraine, Site de Metz, Ile du Saulcy, 57045, Metz, France","institution_ids":["https://openalex.org/I1288283403"]},{"raw_affiliation_string":"LGIPM - Laboratoire de G\u00e9nie Informatique, de Production et de Maintenance (UFR MIM/B\u00e2t. A, 3 rue Augustin Fresnel, BP 45112, 57073 METZ Cedex 03 - France)","institution_ids":["https://openalex.org/I4387155471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066465764","display_name":"Van Ngai Huynh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137358","display_name":"Quy Nhon University","ror":"https://ror.org/04h4y6q56","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210137358"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Van Ngai Huynh","raw_affiliation_strings":["Department of Mathematics, University of Quynhon, 170 An Duong Vuong, Qui Nhon, Vietnam","Department of Mathematics, University of Quynhon, 170 An Duong Vuong, Qui Nhon, Vietnam (170 An D\u01b0\u01a1ng V\u01b0\u01a1ng, Nguy\u1ec5n V\u0103n C\u1eeb, Th\u00e0nh ph\u1ed1 Qui Nh\u01a1n, B\u00ecnh \u0110\u1ecbnh, Vietnam - Vietnam)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Quynhon, 170 An Duong Vuong, Qui Nhon, Vietnam","institution_ids":["https://openalex.org/I4210137358"]},{"raw_affiliation_string":"Department of Mathematics, University of Quynhon, 170 An Duong Vuong, Qui Nhon, Vietnam (170 An D\u01b0\u01a1ng V\u01b0\u01a1ng, Nguy\u1ec5n V\u0103n C\u1eeb, Th\u00e0nh ph\u1ed1 Qui Nh\u01a1n, B\u00ecnh \u0110\u1ecbnh, Vietnam - Vietnam)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101473027","display_name":"Tao Pham Dinh","orcid":"https://orcid.org/0000-0002-2711-2163"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4392021175","display_name":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen","ror":"https://ror.org/009rwsd77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210105918","https://openalex.org/I4392021175","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tao Pham Dinh","raw_affiliation_strings":["Laboratory of Mathematics, INSA-Rouen, University of Normandie, Avenue de l\u2019Universit\u00e9, 76800, Saint-\u00c9tienne-du-Rouvray Cedex, France","LMI - Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie (685 Avenue de l'Universit\u00e9, BP 8, 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics, INSA-Rouen, University of Normandie, Avenue de l\u2019Universit\u00e9, 76800, Saint-\u00c9tienne-du-Rouvray Cedex, France","institution_ids":["https://openalex.org/I88814501"]},{"raw_affiliation_string":"LMI - Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie (685 Avenue de l'Universit\u00e9, BP 8, 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210155549","https://openalex.org/I88814501","https://openalex.org/I4392021175"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042936176"],"corresponding_institution_ids":["https://openalex.org/I1288283403","https://openalex.org/I4387155471"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9922,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.92331587,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"179","issue":"1","first_page":"103","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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":0.9977999925613403,"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9562000036239624,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.85550856590271},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6024830341339111},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5968985557556152},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5844525098800659},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5541130304336548},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5317997336387634},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5234119892120361},{"id":"https://openalex.org/keywords/limit-of-a-sequence","display_name":"Limit of a sequence","score":0.5094397664070129},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48526641726493835},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4845777750015259},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4608914256095886},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41084492206573486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4065929651260376},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3643748164176941},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3350242078304291},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22974830865859985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17568272352218628},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11852806806564331}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.85550856590271},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6024830341339111},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5968985557556152},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5844525098800659},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5541130304336548},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5317997336387634},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5234119892120361},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.5094397664070129},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48526641726493835},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4845777750015259},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4608914256095886},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41084492206573486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4065929651260376},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3643748164176941},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3350242078304291},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22974830865859985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17568272352218628},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11852806806564331},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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":3,"locations":[{"id":"doi:10.1007/s10957-018-1345-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1345-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01944719v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01944719","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 2018, 179 (1), pp.103-126. ⟨10.1007/s10957-018-1345-y⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:joptap:v:179:y:2018:i:1:d:10.1007_s10957-018-1345-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-1345-y","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W97027186","https://openalex.org/W147998453","https://openalex.org/W1509448450","https://openalex.org/W1530146942","https://openalex.org/W1562857671","https://openalex.org/W1589133845","https://openalex.org/W1967138577","https://openalex.org/W1967213961","https://openalex.org/W1975852795","https://openalex.org/W1987228767","https://openalex.org/W1987314831","https://openalex.org/W1990494141","https://openalex.org/W1992341128","https://openalex.org/W1993266907","https://openalex.org/W2021361347","https://openalex.org/W2030731960","https://openalex.org/W2051664786","https://openalex.org/W2055029225","https://openalex.org/W2058514739","https://openalex.org/W2065704444","https://openalex.org/W2069426496","https://openalex.org/W2077612096","https://openalex.org/W2078853581","https://openalex.org/W2080803951","https://openalex.org/W2331639718","https://openalex.org/W2340859457","https://openalex.org/W2784638391","https://openalex.org/W3157341860","https://openalex.org/W4213272153","https://openalex.org/W4249513058","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W4286857066","https://openalex.org/W4238239967","https://openalex.org/W1677518548","https://openalex.org/W3213958552","https://openalex.org/W4297812081","https://openalex.org/W2949926331","https://openalex.org/W2754545762","https://openalex.org/W4299562540","https://openalex.org/W4298208753","https://openalex.org/W3175273680"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}