{"id":"https://openalex.org/W4396616321","doi":"https://doi.org/10.1137/22m1530173","title":"Single-Projection Procedure for Infinite Dimensional Convex Optimization Problems","display_name":"Single-Projection Procedure for Infinite Dimensional Convex Optimization Problems","publication_year":2024,"publication_date":"2024-05-03","ids":{"openalex":"https://openalex.org/W4396616321","doi":"https://doi.org/10.1137/22m1530173"},"language":"en","primary_location":{"id":"doi:10.1137/22m1530173","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530173","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5101504205","display_name":"H\u00f2a T. B\u00f9i","orcid":"https://orcid.org/0000-0002-1698-6383"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Hoa T. Bui","raw_affiliation_strings":["ARC Training Centre for Transforming Maintenance through Data Science, and Curtin Centre for Optimisation and Decision Science, Curtin University, Australia"],"raw_orcid":"https://orcid.org/0000-0002-1698-6383","affiliations":[{"raw_affiliation_string":"ARC Training Centre for Transforming Maintenance through Data Science, and Curtin Centre for Optimisation and Decision Science, Curtin University, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075925642","display_name":"Regina S. Burachik","orcid":"https://orcid.org/0000-0003-1332-6213"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Regina S. Burachik","raw_affiliation_strings":["STEM Mathematics, University of South Australia, Australia"],"raw_orcid":"https://orcid.org/0000-0003-1332-6213","affiliations":[{"raw_affiliation_string":"STEM Mathematics, University of South Australia, Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091692863","display_name":"E. A. Nurminskii","orcid":"https://orcid.org/0000-0002-7236-6955"},"institutions":[{"id":"https://openalex.org/I204947315","display_name":"Far Eastern Federal University","ror":"https://ror.org/0412y9z21","country_code":"RU","type":"education","lineage":["https://openalex.org/I204947315"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Evgeni A. Nurminski","raw_affiliation_strings":["Center for Research and Education in Mathematics (CREM), Far-Eastern Federal University, Vladivostok, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Research and Education in Mathematics (CREM), Far-Eastern Federal University, Vladivostok, Russia","institution_ids":["https://openalex.org/I204947315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029600817","display_name":"Matthew K. Tam","orcid":"https://orcid.org/0000-0002-3654-6553"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Matthew K. Tam","raw_affiliation_strings":["School of Mathematics and Statistics, University of Melbourne, Australia"],"raw_orcid":"https://orcid.org/0000-0002-3654-6553","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Melbourne, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101504205"],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":null,"apc_paid":null,"fwci":0.6914,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70622961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"34","issue":"2","first_page":"1646","last_page":"1678"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.8147536516189575},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.635947585105896},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5925977230072021},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.589399516582489},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5661126971244812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5121603012084961},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4773578643798828},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.47221997380256653},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.43972548842430115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33292731642723083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22218629717826843},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.193792462348938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8147536516189575},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.635947585105896},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5925977230072021},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.589399516582489},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5661126971244812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5121603012084961},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4773578643798828},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.47221997380256653},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.43972548842430115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33292731642723083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22218629717826843},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.193792462348938}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1530173","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530173","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1963343844","display_name":null,"funder_award_id":"IC180100030","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6116214918","display_name":null,"funder_award_id":"075-02-2022-880","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"}],"funders":[{"id":"https://openalex.org/F3831461941","display_name":"Fakultas Sains dan Teknik, Universitas Nusa Cendana","ror":null},{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1059615832","https://openalex.org/W1145378817","https://openalex.org/W1545761024","https://openalex.org/W1974451927","https://openalex.org/W1977750299","https://openalex.org/W1994353100","https://openalex.org/W2031244688","https://openalex.org/W2064650029","https://openalex.org/W2265744594","https://openalex.org/W2555812794","https://openalex.org/W2892154138","https://openalex.org/W2962826994","https://openalex.org/W3100208521","https://openalex.org/W3102670984","https://openalex.org/W3158206985","https://openalex.org/W3214658801","https://openalex.org/W4254238256","https://openalex.org/W4299514043","https://openalex.org/W4300079171"],"related_works":["https://openalex.org/W2040676043","https://openalex.org/W3139158759","https://openalex.org/W4200031614","https://openalex.org/W1977643895","https://openalex.org/W3135309989","https://openalex.org/W3107799181","https://openalex.org/W4256242347","https://openalex.org/W3125145310","https://openalex.org/W2051968184","https://openalex.org/W2153986439"],"abstract_inverted_index":{".We":[0],"consider":[1],"a":[2,9,18,67,74,96,105,112],"class":[3],"of":[4,69,98,108],"convex":[5,64],"optimization":[6],"problems":[7,46],"in":[8,41,89],"Hilbert":[10],"space":[11],"that":[12,47],"can":[13],"be":[14,95],"solved":[15],"by":[16,22,44],"performing":[17],"single":[19],"projection,":[20],"i.e.,":[21],"projecting":[23],"an":[24],"infeasible":[25,83],"point":[26,84],"onto":[27],"the":[28,37,78,82,86,99,109],"feasible":[29,87],"set.":[30],"Our":[31,101],"results":[32],"improve":[33],"those":[34],"established":[35],"for":[36,91],"linear":[38],"programming":[39],"setting":[40],"Nurminski":[42],"(2015)":[43],"considering":[45],"(i)":[48],"may":[49],"have":[50],"multiple":[51],"solutions,":[52],"(ii)":[53],"do":[54],"not":[55],"satisfy":[56],"strict":[57],"complementarity":[58],"conditions,":[59],"and":[60,85,119],"(iii)":[61],"possess":[62],"nonlinear":[63],"constraints.":[65],"As":[66],"by-product":[68],"our":[70],"analysis,":[71],"we":[72,115],"provide":[73],"quantitative":[75],"estimate":[76],"on":[77,104],"required":[79],"distance":[80],"between":[81],"set":[88],"order":[90],"its":[92],"projection":[93],"to":[94],"solution":[97],"problem.":[100],"analysis":[102],"relies":[103],"\"sharpness\"":[106],"property":[107,114],"constraint":[110],"set,":[111],"new":[113],"introduce":[116],"here.Keywordslinear":[117],"programmingpolytopes":[118],"polyhedral":[120],"setsconvex":[121],"programmingHilbert":[122],"spaceprojection":[123],"methodsharpness":[124],"propertysubtransversalityMSC":[125],"codes90C0590C2549J5349J52":[126]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
