{"id":"https://openalex.org/W2784638391","doi":"https://doi.org/10.1007/s10107-018-1235-y","title":"DC programming and DCA: thirty years of developments","display_name":"DC programming and DCA: thirty years of developments","publication_year":2018,"publication_date":"2018-01-24","ids":{"openalex":"https://openalex.org/W2784638391","doi":"https://doi.org/10.1007/s10107-018-1235-y","mag":"2784638391"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-018-1235-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-018-1235-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/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"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["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 (LITA), University of Lorraine, 3, rue Augustin Fresnel, 57 073, Metz Technopole, 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 (LITA), University of Lorraine, 3, rue Augustin Fresnel, 57 073, Metz Technopole, France","institution_ids":["https://openalex.org/I90183372"]},{"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":"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/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]},{"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\u00a0Dinh","raw_affiliation_strings":["Laboratory of Mathematics, National Institute for Applied Sciences - Rouen, 76801, Saint-\u00c9tienne-du-Rouvray Cedex, France","INSA Rouen Normandie - Institut national des sciences appliqu\u00e9es Rouen Normandie (Avenue de l\u2019Universit\u00e9 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics, National Institute for Applied Sciences - Rouen, 76801, Saint-\u00c9tienne-du-Rouvray Cedex, France","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I196454796"]},{"raw_affiliation_string":"INSA Rouen Normandie - Institut national des sciences appliqu\u00e9es Rouen Normandie (Avenue de l\u2019Universit\u00e9 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I88814501"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042936176"],"corresponding_institution_ids":["https://openalex.org/I4387155471","https://openalex.org/I90183372"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":48.3429,"has_fulltext":false,"cited_by_count":345,"citation_normalized_percentile":{"value":1.0,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"169","issue":"1","first_page":"5","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/focus","display_name":"Focus (optics)","score":0.5239089727401733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4837743937969208},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4537146985530853},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.45176368951797485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3613368272781372}],"concepts":[{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5239089727401733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4837743937969208},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4537146985530853},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45176368951797485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3613368272781372},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-018-1235-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-018-1235-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01616962v1","is_oa":false,"landing_page_url":"https://hal.univ-lorraine.fr/hal-01616962","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":"Mathematical Programming, 2018, 169 (1), pp.5-68. ⟨10.1007/s10107-018-1235-y⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":342,"referenced_works":["https://openalex.org/W9274362","https://openalex.org/W11576840","https://openalex.org/W31025451","https://openalex.org/W38037117","https://openalex.org/W47095233","https://openalex.org/W53678728","https://openalex.org/W79131877","https://openalex.org/W85510178","https://openalex.org/W99469426","https://openalex.org/W134972792","https://openalex.org/W139057721","https://openalex.org/W142005874","https://openalex.org/W147998453","https://openalex.org/W169641533","https://openalex.org/W171381367","https://openalex.org/W174485659","https://openalex.org/W180633096","https://openalex.org/W181845658","https://openalex.org/W183870514","https://openalex.org/W187184694","https://openalex.org/W195733142","https://openalex.org/W207658221","https://openalex.org/W211399428","https://openalex.org/W276425822","https://openalex.org/W397217963","https://openalex.org/W438110599","https://openalex.org/W574497887","https://openalex.org/W597306749","https://openalex.org/W641100753","https://openalex.org/W751015559","https://openalex.org/W936775216","https://openalex.org/W944922686","https://openalex.org/W970818482","https://openalex.org/W986547803","https://openalex.org/W1165639838","https://openalex.org/W1171289296","https://openalex.org/W1182568510","https://openalex.org/W1191038605","https://openalex.org/W1201656431","https://openalex.org/W1440015328","https://openalex.org/W1462197815","https://openalex.org/W1483454527","https://openalex.org/W1484024531","https://openalex.org/W1484418241","https://openalex.org/W1491719355","https://openalex.org/W1499786761","https://openalex.org/W1500798282","https://openalex.org/W1501025159","https://openalex.org/W1509479425","https://openalex.org/W1512226162","https://openalex.org/W1519979896","https://openalex.org/W1530146942","https://openalex.org/W1531762922","https://openalex.org/W1542919080","https://openalex.org/W1562857671","https://openalex.org/W1563737017","https://openalex.org/W1568288633","https://openalex.org/W1580121951","https://openalex.org/W1582165156","https://openalex.org/W1582712263","https://openalex.org/W1586417863","https://openalex.org/W1589133845","https://openalex.org/W1594796771","https://openalex.org/W1597107881","https://openalex.org/W1597537144","https://openalex.org/W1704327882","https://openalex.org/W1731081199","https://openalex.org/W1749992802","https://openalex.org/W1761992319","https://openalex.org/W1802840531","https://openalex.org/W1826065584","https://openalex.org/W1859870454","https://openalex.org/W1924300989","https://openalex.org/W1963647568","https://openalex.org/W1964599416","https://openalex.org/W1965569285","https://openalex.org/W1965834410","https://openalex.org/W1966143178","https://openalex.org/W1966157242","https://openalex.org/W1966881610","https://openalex.org/W1967138577","https://openalex.org/W1967660666","https://openalex.org/W1967908726","https://openalex.org/W1969118034","https://openalex.org/W1969602766","https://openalex.org/W1972541804","https://openalex.org/W1974136583","https://openalex.org/W1974661392","https://openalex.org/W1975081448","https://openalex.org/W1975852795","https://openalex.org/W1976683215","https://openalex.org/W1979657638","https://openalex.org/W1983407619","https://openalex.org/W1983751356","https://openalex.org/W1984174940","https://openalex.org/W1984701493","https://openalex.org/W1984754588","https://openalex.org/W1985134581","https://openalex.org/W1986634396","https://openalex.org/W1987228767","https://openalex.org/W1987314831","https://openalex.org/W1987507268","https://openalex.org/W1988557812","https://openalex.org/W1988778152","https://openalex.org/W1989730800","https://openalex.org/W1989830207","https://openalex.org/W1990494141","https://openalex.org/W1990994915","https://openalex.org/W1991857131","https://openalex.org/W1992341128","https://openalex.org/W1992422840","https://openalex.org/W1993266907","https://openalex.org/W1994484236","https://openalex.org/W1994616650","https://openalex.org/W1995436190","https://openalex.org/W1995515386","https://openalex.org/W1995824723","https://openalex.org/W1996777495","https://openalex.org/W2000818163","https://openalex.org/W2000887551","https://openalex.org/W2004886822","https://openalex.org/W2005498511","https://openalex.org/W2006079335","https://openalex.org/W2006203020","https://openalex.org/W2006262045","https://openalex.org/W2006272043","https://openalex.org/W2007456075","https://openalex.org/W2008239997","https://openalex.org/W2009204314","https://openalex.org/W2009702064","https://openalex.org/W2010274322","https://openalex.org/W2012383525","https://openalex.org/W2012420075","https://openalex.org/W2018759226","https://openalex.org/W2018886941","https://openalex.org/W2020925091","https://openalex.org/W2020998040","https://openalex.org/W2021974038","https://openalex.org/W2022483727","https://openalex.org/W2024580471","https://openalex.org/W2027266161","https://openalex.org/W2027882669","https://openalex.org/W2028464528","https://openalex.org/W2030843733","https://openalex.org/W2034278951","https://openalex.org/W2036468156","https://openalex.org/W2037164175","https://openalex.org/W2037312253","https://openalex.org/W2037805287","https://openalex.org/W2037984448","https://openalex.org/W2038323532","https://openalex.org/W2038497950","https://openalex.org/W2040296279","https://openalex.org/W2041327106","https://openalex.org/W2041820190","https://openalex.org/W2042974662","https://openalex.org/W2044297353","https://openalex.org/W2046536138","https://openalex.org/W2046981034","https://openalex.org/W2048896634","https://openalex.org/W2049633694","https://openalex.org/W2049931689","https://openalex.org/W2049977699","https://openalex.org/W2050724550","https://openalex.org/W2050968963","https://openalex.org/W2051664786","https://openalex.org/W2052290961","https://openalex.org/W2053428553","https://openalex.org/W2053678650","https://openalex.org/W2054200730","https://openalex.org/W2055029225","https://openalex.org/W2057797006","https://openalex.org/W2057816915","https://openalex.org/W2057932996","https://openalex.org/W2058514739","https://openalex.org/W2062058089","https://openalex.org/W2062888624","https://openalex.org/W2063103027","https://openalex.org/W2063398392","https://openalex.org/W2064526719","https://openalex.org/W2065119040","https://openalex.org/W2065195435","https://openalex.org/W2065704444","https://openalex.org/W2066651522","https://openalex.org/W2067189021","https://openalex.org/W2069010445","https://openalex.org/W2069426496","https://openalex.org/W2073750241","https://openalex.org/W2074682976","https://openalex.org/W2078721614","https://openalex.org/W2078853581","https://openalex.org/W2082291665","https://openalex.org/W2089106993","https://openalex.org/W2089269329","https://openalex.org/W2089343684","https://openalex.org/W2089394015","https://openalex.org/W2090963365","https://openalex.org/W2091789676","https://openalex.org/W2094905155","https://openalex.org/W2095981367","https://openalex.org/W2096078284","https://openalex.org/W2096381344","https://openalex.org/W2099396088","https://openalex.org/W2100100236","https://openalex.org/W2100141862","https://openalex.org/W2100556411","https://openalex.org/W2102984754","https://openalex.org/W2103215959","https://openalex.org/W2104016228","https://openalex.org/W2105155259","https://openalex.org/W2107861471","https://openalex.org/W2107976320","https://openalex.org/W2112090892","https://openalex.org/W2112395820","https://openalex.org/W2112761524","https://openalex.org/W2115146793","https://openalex.org/W2115706991","https://openalex.org/W2121511313","https://openalex.org/W2121974660","https://openalex.org/W2122315118","https://openalex.org/W2122929847","https://openalex.org/W2124225314","https://openalex.org/W2127164721","https://openalex.org/W2128487019","https://openalex.org/W2130399617","https://openalex.org/W2131584489","https://openalex.org/W2132211083","https://openalex.org/W2141766442","https://openalex.org/W2142114717","https://openalex.org/W2144557646","https://openalex.org/W2146782960","https://openalex.org/W2147196093","https://openalex.org/W2149667092","https://openalex.org/W2153260434","https://openalex.org/W2154231875","https://openalex.org/W2158252006","https://openalex.org/W2158522957","https://openalex.org/W2159455799","https://openalex.org/W2162152253","https://openalex.org/W2163395670","https://openalex.org/W2164139227","https://openalex.org/W2165612468","https://openalex.org/W2166765763","https://openalex.org/W2168745297","https://openalex.org/W2171270653","https://openalex.org/W2172219851","https://openalex.org/W2175532135","https://openalex.org/W2181993972","https://openalex.org/W2186100394","https://openalex.org/W2189713350","https://openalex.org/W2190388883","https://openalex.org/W2196278068","https://openalex.org/W2210084516","https://openalex.org/W2222134608","https://openalex.org/W2223743022","https://openalex.org/W2225235077","https://openalex.org/W2229839854","https://openalex.org/W2257789489","https://openalex.org/W2260399555","https://openalex.org/W2260733151","https://openalex.org/W2262559846","https://openalex.org/W2268440417","https://openalex.org/W2273716988","https://openalex.org/W2283471659","https://openalex.org/W2294680393","https://openalex.org/W2295566694","https://openalex.org/W2313019448","https://openalex.org/W2320689498","https://openalex.org/W2323229976","https://openalex.org/W2335445787","https://openalex.org/W2336090119","https://openalex.org/W2340531709","https://openalex.org/W2340859457","https://openalex.org/W2343766162","https://openalex.org/W2346526640","https://openalex.org/W2347000901","https://openalex.org/W2348824679","https://openalex.org/W2368520314","https://openalex.org/W2389178838","https://openalex.org/W2396491491","https://openalex.org/W2405764034","https://openalex.org/W2409174636","https://openalex.org/W2444053220","https://openalex.org/W2460537821","https://openalex.org/W2462083476","https://openalex.org/W2463288327","https://openalex.org/W2464405124","https://openalex.org/W2469661412","https://openalex.org/W2471604734","https://openalex.org/W2475331905","https://openalex.org/W2476569890","https://openalex.org/W2478091498","https://openalex.org/W2479373631","https://openalex.org/W2489268653","https://openalex.org/W2495407262","https://openalex.org/W2496119153","https://openalex.org/W2507840378","https://openalex.org/W2515981215","https://openalex.org/W2516956258","https://openalex.org/W2517800903","https://openalex.org/W2528581397","https://openalex.org/W2542731950","https://openalex.org/W2543381247","https://openalex.org/W2551721268","https://openalex.org/W2559655401","https://openalex.org/W2560549724","https://openalex.org/W2574758848","https://openalex.org/W2590417069","https://openalex.org/W2603255619","https://openalex.org/W2604272474","https://openalex.org/W2607956614","https://openalex.org/W2621285315","https://openalex.org/W2661056902","https://openalex.org/W2740178347","https://openalex.org/W2743133559","https://openalex.org/W2757561447","https://openalex.org/W2758191719","https://openalex.org/W2780715826","https://openalex.org/W2791913165","https://openalex.org/W2803197818","https://openalex.org/W2884955443","https://openalex.org/W2913234073","https://openalex.org/W2926659349","https://openalex.org/W2950774344","https://openalex.org/W2962776144","https://openalex.org/W2963173886","https://openalex.org/W2963769561","https://openalex.org/W3100058837","https://openalex.org/W3103245321","https://openalex.org/W3105034597","https://openalex.org/W3125319238","https://openalex.org/W3173047639","https://openalex.org/W3202365024","https://openalex.org/W4232984486","https://openalex.org/W4249208235","https://openalex.org/W4249667877","https://openalex.org/W4255617862","https://openalex.org/W4285719527","https://openalex.org/W4299984265","https://openalex.org/W6602139238","https://openalex.org/W6602989878","https://openalex.org/W6827614255"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":57},{"year":2024,"cited_by_count":42},{"year":2023,"cited_by_count":47},{"year":2022,"cited_by_count":41},{"year":2021,"cited_by_count":54},{"year":2020,"cited_by_count":44},{"year":2019,"cited_by_count":31},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}