{"id":"https://openalex.org/W1998991750","doi":"https://doi.org/10.1007/s10957-012-0245-9","title":"A Primal\u2013Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms","display_name":"A Primal\u2013Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms","publication_year":2012,"publication_date":"2012-12-28","ids":{"openalex":"https://openalex.org/W1998991750","doi":"https://doi.org/10.1007/s10957-012-0245-9","mag":"1998991750"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0245-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0245-9","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/A5024254029","display_name":"Laurent Condat","orcid":"https://orcid.org/0000-0001-7087-1002"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Condat","raw_affiliation_strings":["GIPSA-Lab, CNRS\u2014Grenoble Institute of Technology, 11 rue des Math\u00e9matiques, Campus BP46, 38402, St. Martin d\u2019H\u00e8res Cedex, France","Equipe Image - Laboratoire GREYC - UMR6072 (France)","GIPSA-AGPIG - GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GIPSA-Lab, CNRS\u2014Grenoble Institute of Technology, 11 rue des Math\u00e9matiques, Campus BP46, 38402, St. Martin d\u2019H\u00e8res Cedex, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956"]},{"raw_affiliation_string":"Equipe Image - Laboratoire GREYC - UMR6072 (France)","institution_ids":["https://openalex.org/I4210139483"]},{"raw_affiliation_string":"GIPSA-AGPIG - GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024254029"],"corresponding_institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I4210139483"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":40.7518,"has_fulltext":false,"cited_by_count":931,"citation_normalized_percentile":{"value":0.9994284,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"158","issue":"2","first_page":"460","last_page":"479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9975000023841858,"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":0.8015351891517639},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6339926719665527},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6051930785179138},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5197479724884033},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5006163120269775},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4888993799686432},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"Operator splitting","score":0.4859836995601654},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4846349358558655},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4609431028366089},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.4290861487388611},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3734767436981201},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27803146839141846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23815405368804932},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07517579197883606}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8015351891517639},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6339926719665527},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6051930785179138},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5197479724884033},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5006163120269775},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4888993799686432},{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.4859836995601654},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4846349358558655},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4609431028366089},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.4290861487388611},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3734767436981201},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27803146839141846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23815405368804932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07517579197883606},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10957-012-0245-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0245-9","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:CiteSeerX.psu:10.1.1.372.3380","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.3380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/85/01/40/PDF/Condat-optim-JOTA-2013.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.7580","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.7580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.gipsa-lab.grenoble-inp.fr/%7Elaurent.condat/publis/Condat-optim-JOTA-2013.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00609728v5","is_oa":false,"landing_page_url":"https://hal.science/hal-00609728","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, 2013, 158 (2), pp.460-479. &#x27E8;10.1007/s10957-012-0245-9&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:joptap:v:158:y:2013:i:2:d:10.1007_s10957-012-0245-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0245-9","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W94428394","https://openalex.org/W205960364","https://openalex.org/W595086808","https://openalex.org/W1493250972","https://openalex.org/W1525779601","https://openalex.org/W1568288633","https://openalex.org/W1577338488","https://openalex.org/W1946620893","https://openalex.org/W1967317714","https://openalex.org/W1970986119","https://openalex.org/W1972440447","https://openalex.org/W1981112674","https://openalex.org/W1998576973","https://openalex.org/W2006262045","https://openalex.org/W2007437458","https://openalex.org/W2016910236","https://openalex.org/W2017397119","https://openalex.org/W2019569173","https://openalex.org/W2021548137","https://openalex.org/W2030254567","https://openalex.org/W2056578325","https://openalex.org/W2058532290","https://openalex.org/W2074214991","https://openalex.org/W2074567512","https://openalex.org/W2079261074","https://openalex.org/W2092663520","https://openalex.org/W2093425777","https://openalex.org/W2097633811","https://openalex.org/W2114423093","https://openalex.org/W2119058682","https://openalex.org/W2124682210","https://openalex.org/W2142058898","https://openalex.org/W2147068866","https://openalex.org/W2147825506","https://openalex.org/W2171178331","https://openalex.org/W2480952332","https://openalex.org/W2491337109","https://openalex.org/W2523352299","https://openalex.org/W2530515858","https://openalex.org/W2622705236","https://openalex.org/W2726792033","https://openalex.org/W2765202580","https://openalex.org/W3100362236","https://openalex.org/W4229650096","https://openalex.org/W4285719527","https://openalex.org/W4293820388"],"related_works":["https://openalex.org/W2318982644","https://openalex.org/W2290544825","https://openalex.org/W4250775169","https://openalex.org/W4323528637","https://openalex.org/W2151666513","https://openalex.org/W1929059506","https://openalex.org/W4309231192","https://openalex.org/W2187449906","https://openalex.org/W3011190762","https://openalex.org/W2962818859"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":25},{"year":2025,"cited_by_count":75},{"year":2024,"cited_by_count":69},{"year":2023,"cited_by_count":60},{"year":2022,"cited_by_count":60},{"year":2021,"cited_by_count":127},{"year":2020,"cited_by_count":73},{"year":2019,"cited_by_count":87},{"year":2018,"cited_by_count":84},{"year":2017,"cited_by_count":69},{"year":2016,"cited_by_count":70},{"year":2015,"cited_by_count":43},{"year":2014,"cited_by_count":61},{"year":2013,"cited_by_count":25},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
