{"id":"https://openalex.org/W1980605677","doi":"https://doi.org/10.1007/s10589-009-9273-2","title":"Relaxing the optimality conditions of box QP","display_name":"Relaxing the optimality conditions of box QP","publication_year":2009,"publication_date":"2009-07-07","ids":{"openalex":"https://openalex.org/W1980605677","doi":"https://doi.org/10.1007/s10589-009-9273-2","mag":"1980605677"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9273-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9273-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5002663715","display_name":"Samuel Burer","orcid":"https://orcid.org/0000-0001-5886-458X"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]},{"id":"https://openalex.org/I4210155590","display_name":"Management Sciences (United States)","ror":"https://ror.org/05shz5j84","country_code":"US","type":"company","lineage":["https://openalex.org/I4210155590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Samuel Burer","raw_affiliation_strings":["Department of Management Sciences, University of Iowa, Iowa City, IA, 52242-1994, USA","Department of Management Sciences, University of Iowa, Iowa City, USA 52242-1994#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Management Sciences, University of Iowa, Iowa City, IA, 52242-1994, USA","institution_ids":["https://openalex.org/I126307644","https://openalex.org/I4210155590"]},{"raw_affiliation_string":"Department of Management Sciences, University of Iowa, Iowa City, USA 52242-1994#TAB#","institution_ids":["https://openalex.org/I126307644","https://openalex.org/I4210155590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019122349","display_name":"Jieqiu Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]},{"id":"https://openalex.org/I4210155590","display_name":"Management Sciences (United States)","ror":"https://ror.org/05shz5j84","country_code":"US","type":"company","lineage":["https://openalex.org/I4210155590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jieqiu Chen","raw_affiliation_strings":["Department of Management Sciences, University of Iowa, Iowa City, IA, 52242-1994, USA","Department of Management Sciences, University of Iowa, Iowa City, USA 52242-1994#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Management Sciences, University of Iowa, Iowa City, IA, 52242-1994, USA","institution_ids":["https://openalex.org/I126307644","https://openalex.org/I4210155590"]},{"raw_affiliation_string":"Department of Management Sciences, University of Iowa, Iowa City, USA 52242-1994#TAB#","institution_ids":["https://openalex.org/I126307644","https://openalex.org/I4210155590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002663715"],"corresponding_institution_ids":["https://openalex.org/I126307644","https://openalex.org/I4210155590"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9504,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72882903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"48","issue":"3","first_page":"653","last_page":"673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9828000068664551,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9628999829292297,"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":0.8490307927131653},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.822196364402771},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.685409665107727},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6102887988090515},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5956650376319885},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.5749632716178894},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5362014174461365},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4817473888397217},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.45236748456954956},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4266180694103241},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.41398191452026367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3387185335159302},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3380792737007141},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04968583583831787}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8490307927131653},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.822196364402771},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.685409665107727},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6102887988090515},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5956650376319885},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.5749632716178894},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5362014174461365},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4817473888397217},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.45236748456954956},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4266180694103241},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.41398191452026367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3387185335159302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3380792737007141},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04968583583831787},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-009-9273-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9273-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.521.4260","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.4260","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2007/10/1815.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:48:y:2011:i:3:p:653-673","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-009-9273-2","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1526536257","https://openalex.org/W1571070457","https://openalex.org/W1582056940","https://openalex.org/W1691008300","https://openalex.org/W1812813109","https://openalex.org/W1967073510","https://openalex.org/W2000156923","https://openalex.org/W2000642309","https://openalex.org/W2025308368","https://openalex.org/W2029423538","https://openalex.org/W2031494345","https://openalex.org/W2066336764","https://openalex.org/W2105880662","https://openalex.org/W2118807841","https://openalex.org/W2484584864","https://openalex.org/W2495457432","https://openalex.org/W2536620281","https://openalex.org/W2610216665","https://openalex.org/W4239256746"],"related_works":["https://openalex.org/W2352839224","https://openalex.org/W1989828432","https://openalex.org/W2371590971","https://openalex.org/W1653317167","https://openalex.org/W2203098598","https://openalex.org/W2024017812","https://openalex.org/W2135796990","https://openalex.org/W2187390889","https://openalex.org/W2352291778","https://openalex.org/W2370179558"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}