{"id":"https://openalex.org/W3118587179","doi":"https://doi.org/10.1007/s10898-020-00985-x","title":"Cheaper relaxation and better approximation for multi-ball constrained quadratic optimization and extension","display_name":"Cheaper relaxation and better approximation for multi-ball constrained quadratic optimization and extension","publication_year":2021,"publication_date":"2021-01-09","ids":{"openalex":"https://openalex.org/W3118587179","doi":"https://doi.org/10.1007/s10898-020-00985-x","mag":"3118587179"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-020-00985-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-020-00985-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/A5031357780","display_name":"Zhuoyi Xu","orcid":"https://orcid.org/0000-0001-9531-9791"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhuoyi Xu","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-9531-9791","affiliations":[{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018163414","display_name":"Yong Xia","orcid":"https://orcid.org/0000-0001-6610-9680"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Xia","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-3522-7446","affiliations":[{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084383242","display_name":"Jiulin Wang","orcid":"https://orcid.org/0000-0002-5310-2348"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiulin Wang","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-5310-2348","affiliations":[{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031357780"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.9363,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69727435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"80","issue":"2","first_page":"341","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.996399998664856,"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":0.7619118690490723},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.6695667505264282},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.660038411617279},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6354738473892212},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6025965809822083},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.558785080909729},{"id":"https://openalex.org/keywords/active-set-method","display_name":"Active set method","score":0.5543686747550964},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5492120981216431},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5185068845748901},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47093692421913147},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.44585657119750977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4365781843662262},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.43004241585731506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2423425316810608},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.13591268658638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1276567578315735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1094544529914856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7619118690490723},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.6695667505264282},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.660038411617279},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6354738473892212},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6025965809822083},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.558785080909729},{"id":"https://openalex.org/C195064452","wikidata":"https://www.wikidata.org/wiki/Q2823740","display_name":"Active set method","level":4,"score":0.5543686747550964},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5492120981216431},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5185068845748901},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47093692421913147},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.44585657119750977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4365781843662262},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.43004241585731506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2423425316810608},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.13591268658638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1276567578315735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1094544529914856},{"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-020-00985-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-020-00985-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:80:y:2021:i:2:d:10.1007_s10898-020-00985-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-020-00985-x","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":[{"id":"https://openalex.org/G4154207915","display_name":null,"funder_award_id":"11822103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4727340744","display_name":null,"funder_award_id":"11771056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4943634631","display_name":null,"funder_award_id":"11571029","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1570765209","https://openalex.org/W1582056940","https://openalex.org/W1970670479","https://openalex.org/W1985123706","https://openalex.org/W1990558081","https://openalex.org/W1994666506","https://openalex.org/W2017362419","https://openalex.org/W2019886197","https://openalex.org/W2037805287","https://openalex.org/W2045148236","https://openalex.org/W2063549526","https://openalex.org/W2065704444","https://openalex.org/W2074859470","https://openalex.org/W2075781693","https://openalex.org/W2080108722","https://openalex.org/W2080419468","https://openalex.org/W2084193898","https://openalex.org/W2090180723","https://openalex.org/W2118333298","https://openalex.org/W2118807841","https://openalex.org/W2293389874","https://openalex.org/W2295032003","https://openalex.org/W2997544175","https://openalex.org/W3008356049","https://openalex.org/W4247858869","https://openalex.org/W4254731324"],"related_works":["https://openalex.org/W2352839224","https://openalex.org/W2371590971","https://openalex.org/W1653317167","https://openalex.org/W2203098598","https://openalex.org/W2024017812","https://openalex.org/W2135796990","https://openalex.org/W2357193936","https://openalex.org/W1544933314","https://openalex.org/W2187390889","https://openalex.org/W1989828432"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
