{"id":"https://openalex.org/W2072443454","doi":"https://doi.org/10.1007/s101070050052","title":"Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems","display_name":"Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W2072443454","doi":"https://doi.org/10.1007/s101070050052","mag":"2072443454"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050052","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050052","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5080757976","display_name":"Nguyen Nang Tam","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095523","display_name":"Hanoi Pedagogical University 2","ror":"https://ror.org/00st18g74","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210095523"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"N.N. Tam","raw_affiliation_strings":["Department of Mathematics, Hanoi Pedagogical Institute 2, Melinh, Vinhphuc, Vietnam, , , , , , VN","Department of Mathematics, Hanoi Pedagogical Institute 2, Melinh, Vinhphuc, Vietnam, , VN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi Pedagogical Institute 2, Melinh, Vinhphuc, Vietnam, , , , , , VN","institution_ids":["https://openalex.org/I4210095523"]},{"raw_affiliation_string":"Department of Mathematics, Hanoi Pedagogical Institute 2, Melinh, Vinhphuc, Vietnam, , VN","institution_ids":["https://openalex.org/I4210095523"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061405938","display_name":"N. D. Yen","orcid":"https://orcid.org/0000-0001-7250-7933"},"institutions":[{"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"]},{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}],"countries":["BY","VN"],"is_corresponding":false,"raw_author_name":"N.D. Yen","raw_affiliation_strings":["Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam, , , , , , VN","Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam, , VN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam, , , , , , VN","institution_ids":["https://openalex.org/I4210105280"]},{"raw_affiliation_string":"Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam, , VN","institution_ids":["https://openalex.org/I4210148301"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.3988,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.81642885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"85","issue":"1","first_page":"193","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9783999919891357,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.922630786895752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8036339282989502},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5732237696647644},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5399162769317627},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5142128467559814},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5024192333221436},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45415961742401123},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.43902286887168884},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.430990993976593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39767730236053467},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36491858959198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13270273804664612},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10369044542312622}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.922630786895752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8036339282989502},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5732237696647644},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5399162769317627},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5142128467559814},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5024192333221436},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45415961742401123},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.43902286887168884},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.430990993976593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39767730236053467},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36491858959198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13270273804664612},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10369044542312622},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s101070050052","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050052","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W130997544","https://openalex.org/W1522222833","https://openalex.org/W1528330203","https://openalex.org/W1583089965","https://openalex.org/W1973794046","https://openalex.org/W1988429046","https://openalex.org/W1995458154","https://openalex.org/W2000151369","https://openalex.org/W2001874934","https://openalex.org/W2010563227","https://openalex.org/W2034626595","https://openalex.org/W2046211956","https://openalex.org/W2073365207","https://openalex.org/W2078187774","https://openalex.org/W2111735032","https://openalex.org/W2145778743","https://openalex.org/W2242227345"],"related_works":["https://openalex.org/W1981158318","https://openalex.org/W4299713359","https://openalex.org/W4367186753","https://openalex.org/W4244338775","https://openalex.org/W4288092242","https://openalex.org/W2164754346","https://openalex.org/W2980744749","https://openalex.org/W2159682255","https://openalex.org/W2035372690","https://openalex.org/W4378551200"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}