{"id":"https://openalex.org/W3211799454","doi":"https://doi.org/10.1007/s10107-023-01978-w","title":"On the centralization of the circumcentered-reflection method","display_name":"On the centralization of the circumcentered-reflection method","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W3211799454","doi":"https://doi.org/10.1007/s10107-023-01978-w","mag":"3211799454"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-023-01978-w","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10107-023-01978-w","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2111.07022","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045506488","display_name":"Roger Behling","orcid":"https://orcid.org/0000-0002-5473-4654"},"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"]},{"id":"https://openalex.org/I44202434","display_name":"Funda\u00e7\u00e3o Getulio Vargas","ror":"https://ror.org/01evzkn27","country_code":"BR","type":"education","lineage":["https://openalex.org/I44202434"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Roger Behling","raw_affiliation_strings":["Department of Mathematics, Federal University of Santa Catarina, Blumenau, SC, 89065-300, Brazil","School of Applied Mathematics, Funda\u00e7\u00e3o Get\u00falio Vargas, Rio de Janeiro, RJ, 22250-900, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-5473-4654","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Santa Catarina, Blumenau, SC, 89065-300, Brazil","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"School of Applied Mathematics, Funda\u00e7\u00e3o Get\u00falio Vargas, Rio de Janeiro, RJ, 22250-900, Brazil","institution_ids":["https://openalex.org/I44202434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015159689","display_name":"Yunier Bello-Cruz","orcid":"https://orcid.org/0000-0002-7877-5688"},"institutions":[{"id":"https://openalex.org/I102502594","display_name":"Northern Illinois University","ror":"https://ror.org/012wxa772","country_code":"US","type":"education","lineage":["https://openalex.org/I102502594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunier Bello-Cruz","raw_affiliation_strings":["Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115-2828, USA"],"raw_orcid":"https://orcid.org/0000-0002-7877-5688","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115-2828, USA","institution_ids":["https://openalex.org/I102502594"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052300366","display_name":"Alfredo N. Iusem","orcid":"https://orcid.org/0000-0002-5748-2501"},"institutions":[{"id":"https://openalex.org/I44202434","display_name":"Funda\u00e7\u00e3o Getulio Vargas","ror":"https://ror.org/01evzkn27","country_code":"BR","type":"education","lineage":["https://openalex.org/I44202434"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Alfredo N. Iusem","raw_affiliation_strings":["School of Applied Mathematics, Funda\u00e7\u00e3o Get\u00falio Vargas, Rio de Janeiro, RJ, 22250-900, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-5748-2501","affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Funda\u00e7\u00e3o Get\u00falio Vargas, Rio de Janeiro, RJ, 22250-900, Brazil","institution_ids":["https://openalex.org/I44202434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060841212","display_name":"Luiz-Rafael Santos","orcid":"https://orcid.org/0000-0002-0083-5871"},"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":"Luiz-Rafael Santos","raw_affiliation_strings":["Department of Mathematics, Federal University of Santa Catarina, Blumenau, SC, 89065-300, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-0083-5871","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Santa Catarina, Blumenau, SC, 89065-300, Brazil","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045506488"],"corresponding_institution_ids":["https://openalex.org/I4104125","https://openalex.org/I44202434"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1948,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71142285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"205","issue":"1-2","first_page":"337","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9976000189781189,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7784409523010254},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6974644064903259},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.546592116355896},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4908350110054016},{"id":"https://openalex.org/keywords/product-topology","display_name":"Product topology","score":0.48794788122177124},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48189741373062134},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4795634150505066},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4720902144908905},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4712543785572052},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.455222487449646},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4479875862598419},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3560400903224945},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3155477046966553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28450846672058105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2690162658691406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1625615656375885},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08694666624069214}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7784409523010254},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6974644064903259},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.546592116355896},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4908350110054016},{"id":"https://openalex.org/C123222754","wikidata":"https://www.wikidata.org/wiki/Q1070472","display_name":"Product topology","level":2,"score":0.48794788122177124},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48189741373062134},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4795634150505066},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4720902144908905},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4712543785572052},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.455222487449646},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4479875862598419},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3560400903224945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3155477046966553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28450846672058105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2690162658691406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1625615656375885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08694666624069214},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-023-01978-w","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10107-023-01978-w","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:arXiv.org:2111.07022","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.07022","pdf_url":"https://arxiv.org/pdf/2111.07022","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2111.07022","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.07022","pdf_url":"https://arxiv.org/pdf/2111.07022","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2372110003","display_name":null,"funder_award_id":"113190/2022-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4575795860","display_name":null,"funder_award_id":"04392/2018-","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5257914712","display_name":null,"funder_award_id":"1816449","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7983729358","display_name":null,"funder_award_id":"429915/2018-7","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"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W205960364","https://openalex.org/W1145378817","https://openalex.org/W1522222833","https://openalex.org/W1557931734","https://openalex.org/W1601741115","https://openalex.org/W2003372231","https://openalex.org/W2006963158","https://openalex.org/W2009923109","https://openalex.org/W2018508199","https://openalex.org/W2031930404","https://openalex.org/W2033511209","https://openalex.org/W2050804020","https://openalex.org/W2052059821","https://openalex.org/W2090963365","https://openalex.org/W2094508696","https://openalex.org/W2105235982","https://openalex.org/W2120575449","https://openalex.org/W2121625938","https://openalex.org/W2149454052","https://openalex.org/W2334285086","https://openalex.org/W2461651802","https://openalex.org/W2574471105","https://openalex.org/W2585503009","https://openalex.org/W2607657538","https://openalex.org/W2768888796","https://openalex.org/W2811295780","https://openalex.org/W2902985790","https://openalex.org/W2908093735","https://openalex.org/W2963899645","https://openalex.org/W2980043173","https://openalex.org/W2986566764","https://openalex.org/W2991107648","https://openalex.org/W3003347710","https://openalex.org/W3008561645","https://openalex.org/W3025572695","https://openalex.org/W3041713322","https://openalex.org/W3046171782","https://openalex.org/W3046651328","https://openalex.org/W3046836623","https://openalex.org/W3098426976","https://openalex.org/W3102761797","https://openalex.org/W3103438079","https://openalex.org/W3109123130","https://openalex.org/W3147735704","https://openalex.org/W3150763129","https://openalex.org/W3155663307","https://openalex.org/W3159216602","https://openalex.org/W3202139669","https://openalex.org/W3209347123","https://openalex.org/W3214658801","https://openalex.org/W4205236922","https://openalex.org/W4206315459","https://openalex.org/W4224324375","https://openalex.org/W4247291428","https://openalex.org/W4293037344","https://openalex.org/W4388279027","https://openalex.org/W6894129947","https://openalex.org/W6923440305"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W4388555738","https://openalex.org/W4252812829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}