{"id":"https://openalex.org/W1974631728","doi":"https://doi.org/10.1007/s10898-012-9914-3","title":"Projections onto convex sets on the sphere","display_name":"Projections onto convex sets on the sphere","publication_year":2012,"publication_date":"2012-05-10","ids":{"openalex":"https://openalex.org/W1974631728","doi":"https://doi.org/10.1007/s10898-012-9914-3","mag":"1974631728"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-9914-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9914-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5026963153","display_name":"O. P. Ferreira","orcid":"https://orcid.org/0000-0002-5758-0320"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O. P. Ferreira","raw_affiliation_strings":["IME/UFG, Campus II\u2014Caixa Postal 131, Goi\u00e2nia, GO, 74001-970, Brazil","IME/UFG"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Campus II\u2014Caixa Postal 131, Goi\u00e2nia, GO, 74001-970, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026463759","display_name":"A. N. Iusem","orcid":null},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. N. Iusem","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ, 22460-320, Brazil","Instituto de Matematica Pura e Aplicada"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ, 22460-320, Brazil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Instituto de Matematica Pura e Aplicada","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008654420","display_name":"S. Z. N\u00e9meth","orcid":"https://orcid.org/0000-0001-9768-4530"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Z. N\u00e9meth","raw_affiliation_strings":["School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK","The University of BIRMINGHAM"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"The University of BIRMINGHAM","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026963153"],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.8964,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.71661657,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"57","issue":"3","first_page":"663","last_page":"676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962000250816345,"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":0.9962000250816345,"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/T12303","display_name":"Tensor decomposition and applications","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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":0.9839000105857849,"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":0.8125131130218506},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.7490452527999878},{"id":"https://openalex.org/keywords/dual-cone-and-polar-cone","display_name":"Dual cone and polar cone","score":0.6518954038619995},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.6230310797691345},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5906221866607666},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5576448440551758},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5457221865653992},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5177983045578003},{"id":"https://openalex.org/keywords/absolutely-convex-set","display_name":"Absolutely convex set","score":0.5080952644348145},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.49513640999794006},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.47528138756752014},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4734199643135071},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.4597196578979492},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4259186089038849},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41455674171447754},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35137712955474854},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3464072048664093},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26168787479400635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08741351962089539}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8125131130218506},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.7490452527999878},{"id":"https://openalex.org/C24484764","wikidata":"https://www.wikidata.org/wiki/Q2687694","display_name":"Dual cone and polar cone","level":3,"score":0.6518954038619995},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.6230310797691345},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5906221866607666},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5576448440551758},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5457221865653992},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5177983045578003},{"id":"https://openalex.org/C6018138","wikidata":"https://www.wikidata.org/wiki/Q332715","display_name":"Absolutely convex set","level":5,"score":0.5080952644348145},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.49513640999794006},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.47528138756752014},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4734199643135071},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.4597196578979492},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4259186089038849},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41455674171447754},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35137712955474854},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3464072048664093},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26168787479400635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08741351962089539}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-012-9914-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9914-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:57:y:2013:i:3:p:663-676","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-9914-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/5ce7b08c-b924-4cd3-92d3-7e3391857553","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/5ce7b08c-b924-4cd3-92d3-7e3391857553","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ferreira, OP, Iusem, AN & Nemeth, S 2013, 'Projections onto convex sets on the sphere', Journal of Global Optimization, vol. 57, no. 3, pp. 663-676. https://doi.org/10.1007/s10898-012-9914-3","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W106228940","https://openalex.org/W1553702074","https://openalex.org/W1565212980","https://openalex.org/W1602307574","https://openalex.org/W1923779967","https://openalex.org/W2002770211","https://openalex.org/W2011987913","https://openalex.org/W2027544949","https://openalex.org/W2032087140","https://openalex.org/W2032924844","https://openalex.org/W2049093053","https://openalex.org/W2049830459","https://openalex.org/W2064755091","https://openalex.org/W2071000534","https://openalex.org/W2085795790","https://openalex.org/W2090208105","https://openalex.org/W2150587942","https://openalex.org/W3038420293","https://openalex.org/W3111467837","https://openalex.org/W4206033904","https://openalex.org/W4235476591"],"related_works":["https://openalex.org/W21211370","https://openalex.org/W4233008559","https://openalex.org/W4382519084","https://openalex.org/W2346229102","https://openalex.org/W4288640859","https://openalex.org/W3204036718","https://openalex.org/W2090226889","https://openalex.org/W2259817568","https://openalex.org/W2388375429","https://openalex.org/W1526178065"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}