{"id":"https://openalex.org/W2963758579","doi":"https://doi.org/10.1007/s11075-018-0604-1","title":"Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng\u2019s F-B four-operator splitting method for solving monotone inclusions","display_name":"Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng\u2019s F-B four-operator splitting method for solving monotone inclusions","publication_year":2018,"publication_date":"2018-09-29","ids":{"openalex":"https://openalex.org/W2963758579","doi":"https://doi.org/10.1007/s11075-018-0604-1","mag":"2963758579"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0604-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0604-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5004886820","display_name":"M. Marques Alves","orcid":"https://orcid.org/0000-0001-5734-6959"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"M. Marques Alves","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044813579","display_name":"Marina Geremia","orcid":"https://orcid.org/0000-0002-4104-1453"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marina Geremia","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004886820"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1888,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8741889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"82","issue":"1","first_page":"263","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9990000128746033,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9987999796867371,"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":0.996999979019165,"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/operator-splitting","display_name":"Operator splitting","score":0.8140169978141785},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7858341932296753},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7422918677330017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7301825881004333},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.701174259185791},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5430158972740173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47116002440452576},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4471479058265686},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4168555438518524},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18424436450004578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08475691080093384}],"concepts":[{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.8140169978141785},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7858341932296753},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7422918677330017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7301825881004333},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.701174259185791},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5430158972740173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47116002440452576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4471479058265686},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4168555438518524},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18424436450004578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08475691080093384},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0604-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0604-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3809275312","display_name":null,"funder_award_id":"406250/2013-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5546484760","display_name":null,"funder_award_id":"304692/2017-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5885516811","display_name":null,"funder_award_id":"306317/2014-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7343006735","display_name":null,"funder_award_id":"405214/2016-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W146863456","https://openalex.org/W163258351","https://openalex.org/W205960364","https://openalex.org/W240703482","https://openalex.org/W240772761","https://openalex.org/W257907672","https://openalex.org/W1607518970","https://openalex.org/W1743360742","https://openalex.org/W1966953121","https://openalex.org/W1967317714","https://openalex.org/W1988690490","https://openalex.org/W2003327120","https://openalex.org/W2003372231","https://openalex.org/W2007437458","https://openalex.org/W2010099962","https://openalex.org/W2019569173","https://openalex.org/W2027347504","https://openalex.org/W2038497950","https://openalex.org/W2041360096","https://openalex.org/W2044903028","https://openalex.org/W2055467852","https://openalex.org/W2058532290","https://openalex.org/W2058823059","https://openalex.org/W2061334381","https://openalex.org/W2084777452","https://openalex.org/W2084845949","https://openalex.org/W2092663520","https://openalex.org/W2094631364","https://openalex.org/W2138216979","https://openalex.org/W2153635508","https://openalex.org/W2153770148","https://openalex.org/W2164224215","https://openalex.org/W2228647872","https://openalex.org/W2236131147","https://openalex.org/W2561239376","https://openalex.org/W2569134578","https://openalex.org/W2593675399","https://openalex.org/W2616252726","https://openalex.org/W2795507584","https://openalex.org/W2963654173","https://openalex.org/W2963936353","https://openalex.org/W2964030359"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W1695905856","https://openalex.org/W4280509037","https://openalex.org/W412354254","https://openalex.org/W4288262114","https://openalex.org/W1986956864","https://openalex.org/W3206101938","https://openalex.org/W3213628111","https://openalex.org/W2967628804","https://openalex.org/W4379522615"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}