{"id":"https://openalex.org/W4406297335","doi":"https://doi.org/10.1007/s10898-024-01461-6","title":"Approximations of unbounded convex projections and unbounded convex sets","display_name":"Approximations of unbounded convex projections and unbounded convex sets","publication_year":2025,"publication_date":"2025-01-13","ids":{"openalex":"https://openalex.org/W4406297335","doi":"https://doi.org/10.1007/s10898-024-01461-6"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-024-01461-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-024-01461-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-024-01461-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10898-024-01461-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049287177","display_name":"Gabriela Kov\u00e1\u010dov\u00e1","orcid":"https://orcid.org/0000-0003-2088-0597"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriela Kov\u00e1\u010dov\u00e1","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, Los Angeles, CA, 90095, USA"],"raw_orcid":"https://orcid.org/0000-0003-2088-0597","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA, 90095, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053377238","display_name":"Birgit Rudloff","orcid":"https://orcid.org/0000-0003-1675-5451"},"institutions":[{"id":"https://openalex.org/I102248843","display_name":"Vienna University of Economics and Business","ror":"https://ror.org/03yn8s215","country_code":"AT","type":"education","lineage":["https://openalex.org/I102248843"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Birgit Rudloff","raw_affiliation_strings":["Institute for Statistics and Mathematics, Vienna University of Economics and Business, 1020, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0003-1675-5451","affiliations":[{"raw_affiliation_string":"Institute for Statistics and Mathematics, Vienna University of Economics and Business, 1020, Vienna, Austria","institution_ids":["https://openalex.org/I102248843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053377238"],"corresponding_institution_ids":["https://openalex.org/I102248843"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01024857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"91","issue":"4","first_page":"787","last_page":"805"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9934999942779541,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8918946981430054},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6991503238677979},{"id":"https://openalex.org/keywords/semi-infinite","display_name":"Semi-infinite","score":0.6399019956588745},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5586740970611572},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5098554491996765},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4855599105358124},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.46757274866104126},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.46450990438461304},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.4432534873485565},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4427539110183716},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3680278956890106},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33906614780426025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26437246799468994},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17719006538391113}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8918946981430054},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6991503238677979},{"id":"https://openalex.org/C194571181","wikidata":"https://www.wikidata.org/wiki/Q7449306","display_name":"Semi-infinite","level":2,"score":0.6399019956588745},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5586740970611572},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5098554491996765},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4855599105358124},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.46757274866104126},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.46450990438461304},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.4432534873485565},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4427539110183716},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3680278956890106},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33906614780426025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26437246799468994},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17719006538391113}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-024-01461-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-024-01461-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-024-01461-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:research.wu.ac.at:openaire/6be869ca-e76c-452d-8f6c-8d443888807e","is_oa":true,"landing_page_url":"https://research.wu.ac.at/de/publications/6be869ca-e76c-452d-8f6c-8d443888807e","pdf_url":null,"source":{"id":"https://openalex.org/S7407055123","display_name":"WU Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kov\u00e1\u010dov\u00e1, G & Rudloff, B 2025, 'Approximations of unbounded convex projections and unbounded convex sets', Journal of Global Optimization, vol. 91, no. 4, pp. 787-805. https://doi.org/10.1007/s10898-024-01461-6","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:jglopt:v:91:y:2025:i:4:d:10.1007_s10898-024-01461-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-024-01461-6","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"}],"best_oa_location":{"id":"doi:10.1007/s10898-024-01461-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-024-01461-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-024-01461-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406297335.pdf","grobid_xml":"https://content.openalex.org/works/W4406297335.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2006109604","https://openalex.org/W2048944090","https://openalex.org/W2212241622","https://openalex.org/W2252390983","https://openalex.org/W2590334092","https://openalex.org/W2794226795","https://openalex.org/W3101800562","https://openalex.org/W3102470477","https://openalex.org/W3103531705","https://openalex.org/W3118200057","https://openalex.org/W3137049832","https://openalex.org/W3154547765","https://openalex.org/W3196745509","https://openalex.org/W3215362574","https://openalex.org/W4220968412","https://openalex.org/W4250589301","https://openalex.org/W4387580397","https://openalex.org/W4390949947"],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W2356261519","https://openalex.org/W1510770274","https://openalex.org/W4361807553","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W2040676043","https://openalex.org/W165488893","https://openalex.org/W1974461145","https://openalex.org/W2116973230"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,16,35,77,88,102],"problem":[4,17,36],"of":[5,18,37,79,104],"projecting":[6],"a":[7,11,20,25,29,61],"convex":[8,30,39,47,53,95],"set":[9,21],"onto":[10],"subspace":[12],"or,":[13],"equivalently":[14],"formulated,":[15],"computing":[19],"obtained":[22],"by":[23,41],"applying":[24],"linear":[26],"mapping":[27],"to":[28,99],"feasible":[31],"set.":[32],"This":[33],"includes":[34],"approximating":[38],"sets":[40,54],"polyhedrons.":[42],"The":[43,71],"existing":[44],"literature":[45],"on":[46,76],"projections":[48],"provides":[49],"methods":[50,91],"for":[51,92],"bounded":[52,67],"only,":[55],"in":[56],"this":[57],"paper":[58],"we":[59,73,86],"propose":[60,74],"method":[62],"that":[63],"can":[64],"handle":[65,100],"both":[66],"and":[68,81],"unbounded":[69,94],"problems.":[70,106],"algorithms":[72],"build":[75],"ideas":[78],"inner":[80],"outer":[82],"approximation.":[83],"In":[84],"particular,":[85],"adapt":[87],"recently":[89],"proposed":[90],"solving":[93],"vector":[96],"optimization":[97],"problems":[98],"also":[101],"class":[103],"projection":[105]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
