{"id":"https://openalex.org/W2002154633","doi":"https://doi.org/10.1007/s10107-014-0788-7","title":"Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods","display_name":"Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods","publication_year":2014,"publication_date":"2014-05-28","ids":{"openalex":"https://openalex.org/W2002154633","doi":"https://doi.org/10.1007/s10107-014-0788-7","mag":"2002154633"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-014-0788-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-014-0788-7","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/1405.1501","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075594934","display_name":"Yair Censor","orcid":"https://orcid.org/0000-0003-2247-818X"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yair Censor","raw_affiliation_strings":["Department of Mathematics, University of Haifa, Haifa, Israel 3498838#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Haifa, Israel 3498838#TAB#","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017467848","display_name":"Daniel Reem","orcid":"https://orcid.org/0000-0003-3190-2720"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Reem","raw_affiliation_strings":["Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil CEP: 13566-590#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil CEP: 13566-590#TAB#","institution_ids":["https://openalex.org/I134820265"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.1441,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.86956223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"152","issue":"1-2","first_page":"339","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9983999729156494,"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":0.9958999752998352,"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/subgradient-method","display_name":"Subgradient method","score":0.9255101680755615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7410908937454224},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6230530738830566},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.607932984828949},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5227028131484985},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5214502215385437},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.4944167137145996},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47868257761001587},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4752649664878845},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.46658995747566223},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45462915301322937},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3410263657569885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.142811119556427}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9255101680755615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7410908937454224},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6230530738830566},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.607932984828949},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5227028131484985},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5214502215385437},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.4944167137145996},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47868257761001587},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4752649664878845},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.46658995747566223},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45462915301322937},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3410263657569885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.142811119556427},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-014-0788-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-014-0788-7","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:1405.1501","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.1501","pdf_url":"https://arxiv.org/pdf/1405.1501","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.4582","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.4582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1405.1501.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.1501","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.1501","pdf_url":"https://arxiv.org/pdf/1405.1501","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":134,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W58439901","https://openalex.org/W182881619","https://openalex.org/W205960364","https://openalex.org/W313877554","https://openalex.org/W333484335","https://openalex.org/W588748993","https://openalex.org/W606413299","https://openalex.org/W612687502","https://openalex.org/W613392520","https://openalex.org/W616361022","https://openalex.org/W641613623","https://openalex.org/W651887016","https://openalex.org/W653564841","https://openalex.org/W1499399028","https://openalex.org/W1506032630","https://openalex.org/W1509803206","https://openalex.org/W1518078339","https://openalex.org/W1519336346","https://openalex.org/W1521386166","https://openalex.org/W1533930488","https://openalex.org/W1551360398","https://openalex.org/W1551892507","https://openalex.org/W1555903671","https://openalex.org/W1564836776","https://openalex.org/W1565268343","https://openalex.org/W1583497301","https://openalex.org/W1585386565","https://openalex.org/W1594563620","https://openalex.org/W1597162504","https://openalex.org/W1601741115","https://openalex.org/W1608145022","https://openalex.org/W1649547313","https://openalex.org/W1710475132","https://openalex.org/W1960239420","https://openalex.org/W1967005434","https://openalex.org/W1967344706","https://openalex.org/W1969573529","https://openalex.org/W1972292407","https://openalex.org/W1977663139","https://openalex.org/W1980908866","https://openalex.org/W1982011875","https://openalex.org/W1984958640","https://openalex.org/W1986983198","https://openalex.org/W1988854313","https://openalex.org/W1989626574","https://openalex.org/W1994908861","https://openalex.org/W1999970907","https://openalex.org/W2000983337","https://openalex.org/W2001656751","https://openalex.org/W2003660390","https://openalex.org/W2004304255","https://openalex.org/W2004428410","https://openalex.org/W2011347843","https://openalex.org/W2014430206","https://openalex.org/W2015038494","https://openalex.org/W2020804487","https://openalex.org/W2021281641","https://openalex.org/W2021350473","https://openalex.org/W2021769279","https://openalex.org/W2028196352","https://openalex.org/W2028349001","https://openalex.org/W2029840249","https://openalex.org/W2033511209","https://openalex.org/W2038497950","https://openalex.org/W2043093325","https://openalex.org/W2046641376","https://openalex.org/W2053487511","https://openalex.org/W2059677908","https://openalex.org/W2061024081","https://openalex.org/W2061657011","https://openalex.org/W2062059813","https://openalex.org/W2066333552","https://openalex.org/W2067877923","https://openalex.org/W2069491950","https://openalex.org/W2070793005","https://openalex.org/W2084777452","https://openalex.org/W2088236369","https://openalex.org/W2088693994","https://openalex.org/W2091083692","https://openalex.org/W2092527476","https://openalex.org/W2092924973","https://openalex.org/W2094077034","https://openalex.org/W2099454114","https://openalex.org/W2100717205","https://openalex.org/W2101709452","https://openalex.org/W2106719467","https://openalex.org/W2107501462","https://openalex.org/W2109299965","https://openalex.org/W2109339972","https://openalex.org/W2110041091","https://openalex.org/W2118166339","https://openalex.org/W2119236577","https://openalex.org/W2120372728","https://openalex.org/W2141976257","https://openalex.org/W2146418213","https://openalex.org/W2155541891","https://openalex.org/W2158375645","https://openalex.org/W2158642177","https://openalex.org/W2164224215","https://openalex.org/W2168208526","https://openalex.org/W2168346106","https://openalex.org/W2171029603","https://openalex.org/W2172228337","https://openalex.org/W2278510557","https://openalex.org/W2350868783","https://openalex.org/W2498144272","https://openalex.org/W2594766048","https://openalex.org/W2737047902","https://openalex.org/W2787523326","https://openalex.org/W2950200454","https://openalex.org/W2952048591","https://openalex.org/W2974737767","https://openalex.org/W3037943248","https://openalex.org/W3099167956","https://openalex.org/W3100470751","https://openalex.org/W3106306093","https://openalex.org/W3121715641","https://openalex.org/W3122275266","https://openalex.org/W3123795360","https://openalex.org/W3148421669","https://openalex.org/W3209021767","https://openalex.org/W4206950497","https://openalex.org/W4229650096","https://openalex.org/W4231433508","https://openalex.org/W4232135723","https://openalex.org/W4234534407","https://openalex.org/W4239339957","https://openalex.org/W4246092883","https://openalex.org/W4246604048","https://openalex.org/W4249667877","https://openalex.org/W4250668019","https://openalex.org/W4251616545","https://openalex.org/W4254573171"],"related_works":["https://openalex.org/W4200031614","https://openalex.org/W2346229102","https://openalex.org/W3107799181","https://openalex.org/W4382519084","https://openalex.org/W3135309989","https://openalex.org/W2811183536","https://openalex.org/W4321782575","https://openalex.org/W2047757139","https://openalex.org/W4293136413","https://openalex.org/W3125145310"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}