{"id":"https://openalex.org/W2092527476","doi":"https://doi.org/10.1007/bf01585107","title":"Cyclic subgradient projections","display_name":"Cyclic subgradient projections","publication_year":1982,"publication_date":"1982-12-01","ids":{"openalex":"https://openalex.org/W2092527476","doi":"https://doi.org/10.1007/bf01585107","mag":"2092527476"},"language":"en","primary_location":{"id":"doi:10.1007/bf01585107","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585107","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/A5075594934","display_name":"Yair Censor","orcid":"https://orcid.org/0000-0003-2247-818X"},"institutions":[{"id":"https://openalex.org/I4210120800","display_name":"Carmel (Israel)","ror":"https://ror.org/02wvcn790","country_code":"IL","type":"company","lineage":["https://openalex.org/I4210120800"]},{"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":true,"raw_author_name":"Yair Censor","raw_affiliation_strings":["Department of Mathematics, University of Haifa, Mount Carmel, 31999, Haifa, Israel","Department of Mathematics, University of Haifa, Haifa, ISRAEL"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Mount Carmel, 31999, Haifa, Israel","institution_ids":["https://openalex.org/I91203450","https://openalex.org/I4210120800"]},{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Haifa, ISRAEL","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055616459","display_name":"Arnold Lent","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arnold Lent","raw_affiliation_strings":["New Ventures Division, Technicare Corporation, 44139, Solon, Ohio, USA","New Ventures Division, Technicare Corporation, Solon, USA"],"affiliations":[{"raw_affiliation_string":"New Ventures Division, Technicare Corporation, 44139, Solon, Ohio, USA","institution_ids":[]},{"raw_affiliation_string":"New Ventures Division, Technicare Corporation, Solon, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075594934"],"corresponding_institution_ids":["https://openalex.org/I4210120800","https://openalex.org/I91203450"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.2457,"has_fulltext":false,"cited_by_count":106,"citation_normalized_percentile":{"value":0.8746558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"24","issue":"1","first_page":"233","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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":0.9976000189781189,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/subgradient-method","display_name":"Subgradient method","score":0.9660587310791016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6720107793807983},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5892797112464905},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5769661068916321},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5333127379417419},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4681280851364136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.343109130859375},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1267753541469574}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9660587310791016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6720107793807983},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5892797112464905},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5769661068916321},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5333127379417419},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4681280851364136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.343109130859375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1267753541469574}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01585107","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585107","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309370","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1600889675","https://openalex.org/W1973701131","https://openalex.org/W2014362992","https://openalex.org/W2029096605","https://openalex.org/W2044387665","https://openalex.org/W2085440994"],"related_works":["https://openalex.org/W2755725405","https://openalex.org/W2962762987","https://openalex.org/W2781777036","https://openalex.org/W3196983597","https://openalex.org/W2078980565","https://openalex.org/W2503607608","https://openalex.org/W1991765628","https://openalex.org/W2072534783","https://openalex.org/W3209321203","https://openalex.org/W2923595680"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2012,"cited_by_count":14}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}