{"id":"https://openalex.org/W3007864125","doi":"https://doi.org/10.1007/s10107-020-01611-0","title":"On standard quadratic programs with exact and inexact doubly nonnegative relaxations","display_name":"On standard quadratic programs with exact and inexact doubly nonnegative relaxations","publication_year":2021,"publication_date":"2021-01-18","ids":{"openalex":"https://openalex.org/W3007864125","doi":"https://doi.org/10.1007/s10107-020-01611-0","mag":"3007864125"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-020-01611-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-020-01611-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-020-01611-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-020-01611-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029281703","display_name":"Y. G\u00f6rkem G\u00f6kmen","orcid":"https://orcid.org/0000-0003-0722-2629"},"institutions":[{"id":"https://openalex.org/I15059493","display_name":"\u0130zmir University of Economics","ror":"https://ror.org/04hjr4202","country_code":"TR","type":"education","lineage":["https://openalex.org/I15059493"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Y. G\u00f6rkem G\u00f6kmen","raw_affiliation_strings":["Department of Industrial Engineering, Izmir University of Economics, Bal\u00e7ova, Turkey","Department of Industrial Engineering, Izmir University of Economics, Balcova, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-0722-2629","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Izmir University of Economics, Bal\u00e7ova, Turkey","institution_ids":["https://openalex.org/I15059493"]},{"raw_affiliation_string":"Department of Industrial Engineering, Izmir University of Economics, Balcova, Turkey","institution_ids":["https://openalex.org/I15059493"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057209882","display_name":"E. Alper Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0003-4141-3189"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. Alper Y\u0131ld\u0131r\u0131m","raw_affiliation_strings":["School of Mathematics, The University of Edinburgh, Edinburgh, UK","University of Edinburgh,"],"raw_orcid":"https://orcid.org/0000-0003-4141-3189","affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"University of Edinburgh,","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01138901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"193","issue":"1","first_page":"365","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9969000220298767,"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":0.9969000220298767,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9793999791145325,"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7390516400337219},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6347973942756653},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6339486241340637},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.553593635559082},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5415416955947876},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5310208201408386},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5297312140464783},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5168678760528564},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5123425722122192},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.510751485824585},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.48769769072532654},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4872340261936188},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.45498836040496826},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42264077067375183},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.399714857339859},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.21444761753082275},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1968352496623993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1183316707611084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1147175133228302}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7390516400337219},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6347973942756653},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6339486241340637},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.553593635559082},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5415416955947876},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5310208201408386},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5297312140464783},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5168678760528564},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5123425722122192},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.510751485824585},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.48769769072532654},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4872340261936188},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.45498836040496826},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42264077067375183},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.399714857339859},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.21444761753082275},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1968352496623993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1183316707611084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1147175133228302},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-020-01611-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-020-01611-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-020-01611-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.12659","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.12659","pdf_url":"https://arxiv.org/pdf/2002.12659","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3007864125","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.12659.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pure.ed.ac.uk:openaire/f803983c-642d-4989-9aaa-1b152acbb842","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/f803983c-642d-4989-9aaa-1b152acbb842","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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":"Gokmen, Y G & Yildirim, E A 2022, 'On Standard Quadratic Programs with Exact and Inexact Doubly Nonnegative Relaxations', Mathematical programming, vol. 193, pp. 365-403. https://doi.org/10.1007/s10107-020-01611-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:publications/f803983c-642d-4989-9aaa-1b152acbb842","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11820/f803983c-642d-4989-9aaa-1b152acbb842","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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":"Gokmen, Y G & Yildirim, E A 2022, 'On Standard Quadratic Programs with Exact and Inexact Doubly Nonnegative Relaxations', Mathematical programming, vol. 193, pp. 365-403. https://doi.org/10.1007/s10107-020-01611-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.48550/arxiv.2002.12659","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.12659","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10107-020-01611-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-020-01611-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-020-01611-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6517974665","display_name":null,"funder_award_id":"PhD Scholarship Program BIDEB 2211-A","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3007864125.pdf","grobid_xml":"https://content.openalex.org/works/W3007864125.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1481481825","https://openalex.org/W1502166895","https://openalex.org/W1518832340","https://openalex.org/W1549791526","https://openalex.org/W1969120667","https://openalex.org/W1973199140","https://openalex.org/W1991728994","https://openalex.org/W2012329067","https://openalex.org/W2013568176","https://openalex.org/W2018913147","https://openalex.org/W2019358363","https://openalex.org/W2027470314","https://openalex.org/W2027574304","https://openalex.org/W2047601391","https://openalex.org/W2049904561","https://openalex.org/W2068974785","https://openalex.org/W2078289947","https://openalex.org/W2079135578","https://openalex.org/W2083533556","https://openalex.org/W2099168123","https://openalex.org/W2107469603","https://openalex.org/W2114189119","https://openalex.org/W2120146316","https://openalex.org/W2126138717","https://openalex.org/W2133404041","https://openalex.org/W2140320282","https://openalex.org/W2141878826","https://openalex.org/W2144560699","https://openalex.org/W2162579105","https://openalex.org/W2203301234","https://openalex.org/W2335862003","https://openalex.org/W2992111132","https://openalex.org/W3003795691","https://openalex.org/W3044264873","https://openalex.org/W3209282608"],"related_works":["https://openalex.org/W3124804635","https://openalex.org/W2987707205","https://openalex.org/W3157588680","https://openalex.org/W2333299567","https://openalex.org/W2053017820","https://openalex.org/W3091344820","https://openalex.org/W2195068248","https://openalex.org/W2952870131","https://openalex.org/W2035453684","https://openalex.org/W3123500388","https://openalex.org/W203192772","https://openalex.org/W111545415","https://openalex.org/W2755386969","https://openalex.org/W1996867747","https://openalex.org/W2027854303","https://openalex.org/W1877367452","https://openalex.org/W2048099660","https://openalex.org/W3100197943","https://openalex.org/W2772835986","https://openalex.org/W1970515840"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"problem":[2],"of":[3,31,48,55,78,88,91,93,122,141,147,158,161],"minimizing":[4],"a":[5,16,73,84,170],"(nonconvex)":[6],"quadratic":[7,18,95],"form":[8],"over":[9,26],"the":[10,27,36,43,53,64,79,89,126,137,145,148,159,165],"unit":[11],"simplex,":[12],"referred":[13],"to":[14,176],"as":[15],"standard":[17,94],"program,":[19],"admits":[20],"an":[21,99,107,113,142,155,179],"exact":[22,100],"convex":[23],"conic":[24],"formulation":[25,41],"computationally":[28],"intractable":[29,37],"cone":[30,38,47,54],"completely":[32],"positive":[33,56,171],"matrices.":[34],"Replacing":[35],"in":[39],"this":[40,182],"by":[42],"larger":[44],"but":[45],"tractable":[46],"doubly":[49,66,101,127,149,166],"nonnegative":[50,60,67,102,128,150,167],"matrices,":[51,61],"i.e.,":[52],"semidefinite":[57],"and":[58,144,173],"componentwise":[59],"one":[62],"obtains":[63],"so-called":[65,138],"relaxation,":[68],"whose":[69],"optimal":[70],"value":[71],"yields":[72,106],"lower":[74],"bound":[75],"on":[76],"that":[77,97],"original":[80],"problem.":[81],"We":[82,132,152],"present":[83],"full":[85],"algebraic":[86,156],"characterization":[87,105,157],"set":[90,160],"instances":[92,123,162],"programs":[96],"admit":[98],"relaxation.":[103,151],"This":[104],"algorithmic":[108],"recipe":[109],"for":[110,124,163],"constructing":[111],"such":[112,178],"instance.":[114],"In":[115],"addition,":[116],"we":[117],"explicitly":[118],"identify":[119],"three":[120],"families":[121],"which":[125,164],"relaxation":[129,168],"is":[130],"exact.":[131],"establish":[133],"several":[134],"relations":[135],"between":[136],"convexity":[139],"graph":[140],"instance":[143,180],"tightness":[146],"also":[153],"provide":[154],"has":[169],"gap":[172],"show":[174],"how":[175],"construct":[177],"using":[181],"characterization.":[183]},"counts_by_year":[],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2022-07-26T00:00:00"}