{"id":"https://openalex.org/W4401993115","doi":"https://doi.org/10.1007/s10957-024-02515-1","title":"On the Uniform Duality in Copositive Optimization","display_name":"On the Uniform Duality in Copositive Optimization","publication_year":2024,"publication_date":"2024-08-29","ids":{"openalex":"https://openalex.org/W4401993115","doi":"https://doi.org/10.1007/s10957-024-02515-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02515-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10957-024-02515-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02515-1.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/s10957-024-02515-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029454668","display_name":"O. I. Kostyukova","orcid":"https://orcid.org/0000-0002-0959-0831"},"institutions":[{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]},{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"O. I. Kostyukova","raw_affiliation_strings":["Institute of Mathematics, National Academy of Sciences of Belarus, Surganov Str. 11, 220072, Minsk, Belarus"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Belarus, Surganov Str. 11, 220072, Minsk, Belarus","institution_ids":["https://openalex.org/I151823869","https://openalex.org/I4210105280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087817338","display_name":"Tatiana Tchemisova","orcid":"https://orcid.org/0000-0002-2678-2552"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"T. V. Tchemisova","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, Campus Universit\u00e1rio Santiago, Building 11, 3800-192, Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, Campus Universit\u00e1rio Santiago, Building 11, 3800-192, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016268804","display_name":"Olga Dudina","orcid":"https://orcid.org/0000-0002-6788-8783"},"institutions":[{"id":"https://openalex.org/I291386647","display_name":"Belarusian State University","ror":"https://ror.org/021036w13","country_code":"BY","type":"education","lineage":["https://openalex.org/I291386647"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"O. S. Dudina","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Belarusian State University, Nezavisimosti Ave. 4, 220030, Minsk, Belarus"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Belarusian State University, Nezavisimosti Ave. 4, 220030, Minsk, Belarus","institution_ids":["https://openalex.org/I291386647"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087817338"],"corresponding_institution_ids":["https://openalex.org/I60858718"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.7246,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67640875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"203","issue":"2","first_page":"1940","last_page":"1966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9905999898910522,"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":0.7256203293800354},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6695483922958374},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.594842255115509},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5042732954025269},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4419707655906677},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3631672263145447},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3521841764450073},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33037057518959045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17701423168182373}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7256203293800354},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6695483922958374},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.594842255115509},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5042732954025269},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4419707655906677},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3631672263145447},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3521841764450073},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33037057518959045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17701423168182373}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10957-024-02515-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10957-024-02515-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02515-1.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:elib.bsu.by:123456789/323127","is_oa":true,"landing_page_url":"https://elib.bsu.by/handle/123456789/323127","pdf_url":"https://elib.bsu.by/bitstream/123456789/323127/1/s10957-024-02515-1.pdf","source":{"id":"https://openalex.org/S4377196361","display_name":"Digital Library of the Belarusian State University (Belarusian State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I291386647","host_organization_name":"Belarusian State University","host_organization_lineage":["https://openalex.org/I291386647"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:spr:joptap:v:203:y:2024:i:2:d:10.1007_s10957-024-02515-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02515-1","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:ria.ua.pt:10773/42714","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/42714","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1007/s10957-024-02515-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10957-024-02515-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02515-1.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1709823736","display_name":null,"funder_award_id":"UIDB/04106/202","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G2590986966","display_name":null,"funder_award_id":"UIDB/04106/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3069120617","display_name":null,"funder_award_id":"04106","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3272457656","display_name":null,"funder_award_id":"UIDB/","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3461949579","display_name":null,"funder_award_id":"UIDB/04106/2020","funder_id":"https://openalex.org/F4320329951","funder_display_name":"Center for Research and Development in Mathematics and Applications"},{"id":"https://openalex.org/G6772520733","display_name":null,"funder_award_id":"IDB/04106/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7049410507","display_name":null,"funder_award_id":"Portuguese Foundation for Science","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G878132358","display_name":null,"funder_award_id":"CIDMA","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G943999617","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320310000","display_name":"Universidade de Aveiro","ror":"https://ror.org/00nt41z93"},{"id":"https://openalex.org/F4320329951","display_name":"Center for Research and Development in Mathematics and Applications","ror":null},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401993115.pdf","grobid_xml":"https://content.openalex.org/works/W4401993115.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W76236552","https://openalex.org/W179438227","https://openalex.org/W1762428605","https://openalex.org/W1967419109","https://openalex.org/W1973754113","https://openalex.org/W1974329054","https://openalex.org/W2000336699","https://openalex.org/W2006581042","https://openalex.org/W2015626260","https://openalex.org/W2020084878","https://openalex.org/W2025776604","https://openalex.org/W2026483567","https://openalex.org/W2039745024","https://openalex.org/W2073875740","https://openalex.org/W2092569137","https://openalex.org/W2116007667","https://openalex.org/W2116371063","https://openalex.org/W2124487034","https://openalex.org/W2140520100","https://openalex.org/W2182616547","https://openalex.org/W2888047994","https://openalex.org/W2988743386","https://openalex.org/W3003693830","https://openalex.org/W3015657183","https://openalex.org/W3103622948","https://openalex.org/W3130358933","https://openalex.org/W4210658870","https://openalex.org/W4392751426","https://openalex.org/W4396496979"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2029931673","https://openalex.org/W3106370860"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"establish":[5],"new":[6],"necessary":[7],"and":[8,22,45],"sufficient":[9],"conditions":[10,25],"guaranteeing":[11],"the":[12,36,43,58],"uniform":[13],"LP":[14],"duality":[15],"for":[16],"linear":[17],"problems":[18],"of":[19,42,50,57,60],"Copositive":[20],"Programming":[21],"formulate":[23],"these":[24],"in":[26,39],"different":[27],"equivalent":[28],"forms.":[29],"The":[30],"main":[31],"results":[32],"are":[33],"obtained":[34],"using":[35],"approach":[37],"developed":[38],"previous":[40],"papers":[41],"authors":[44],"based":[46],"on":[47],"a":[48],"concept":[49],"immobile":[51],"indices":[52],"that":[53],"permits":[54],"alternative":[55],"representations":[56],"set":[59],"feasible":[61],"solutions.":[62]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
