{"id":"https://openalex.org/W1978593101","doi":"https://doi.org/10.1007/s101070050068","title":"A method of projection onto an acute cone with level control in convex minimization","display_name":"A method of projection onto an acute cone with level control in convex minimization","publication_year":1999,"publication_date":"1999-08-01","ids":{"openalex":"https://openalex.org/W1978593101","doi":"https://doi.org/10.1007/s101070050068","mag":"1978593101"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050068","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050068","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/A5082463321","display_name":"Andrzej Cegielski","orcid":"https://orcid.org/0000-0002-1840-4455"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Cegielski","raw_affiliation_strings":["Institute of Mathematics, Technical University, ul. Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland, e-mail: a.cegielski@im.pz.zgora.pl, , , , , , PL","Institute of Mathematics, Technical University, ul. Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland, e-mail: a.cegielski@im.pz.zgora.pl, , PL"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technical University, ul. Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland, e-mail: a.cegielski@im.pz.zgora.pl, , , , , , PL","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Institute of Mathematics, Technical University, ul. Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland, e-mail: a.cegielski@im.pz.zgora.pl, , PL","institution_ids":["https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082463321"],"corresponding_institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I46305939"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.8249,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.89772525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"85","issue":"3","first_page":"469","last_page":"490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9973999857902527,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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":0.7337401509284973},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6695924997329712},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6539994478225708},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6536200046539307},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.561290442943573},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.530074954032898},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.521898090839386},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4656786322593689},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4221193492412567},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.42072346806526184},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40438249707221985},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34731417894363403},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34651798009872437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3425019681453705},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.24028974771499634},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20624098181724548}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7337401509284973},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6695924997329712},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6539994478225708},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6536200046539307},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.561290442943573},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.530074954032898},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.521898090839386},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4656786322593689},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4221193492412567},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.42072346806526184},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40438249707221985},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34731417894363403},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34651798009872437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3425019681453705},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.24028974771499634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20624098181724548}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s101070050068","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050068","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W87850079","https://openalex.org/W224775207","https://openalex.org/W1553702074","https://openalex.org/W1966259407","https://openalex.org/W1967337017","https://openalex.org/W1967518292","https://openalex.org/W1971335842","https://openalex.org/W1971915361","https://openalex.org/W2033957915","https://openalex.org/W2047092360","https://openalex.org/W2061597864","https://openalex.org/W2074844432","https://openalex.org/W2130469840","https://openalex.org/W2170166494"],"related_works":["https://openalex.org/W3003165794","https://openalex.org/W2047757139","https://openalex.org/W4287899549","https://openalex.org/W2170321730","https://openalex.org/W3205167782","https://openalex.org/W2027413213","https://openalex.org/W1978593101","https://openalex.org/W2349259963","https://openalex.org/W3003123544","https://openalex.org/W4287900977"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
