{"id":"https://openalex.org/W796735666","doi":"https://doi.org/10.1007/s10898-015-0315-2","title":"Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming","display_name":"Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming","publication_year":2015,"publication_date":"2015-06-16","ids":{"openalex":"https://openalex.org/W796735666","doi":"https://doi.org/10.1007/s10898-015-0315-2","mag":"796735666"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-015-0315-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0315-2","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/A5005142149","display_name":"Van-Bong Nguyen","orcid":"https://orcid.org/0000-0001-9046-8448"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Van-Bong Nguyen","raw_affiliation_strings":["Department of Mathematics, National Cheng Kung University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005789866","display_name":"Ruey-Lin Sheu","orcid":"https://orcid.org/0000-0001-7395-3775"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ruey-Lin Sheu","raw_affiliation_strings":["Department of Mathematics, National Cheng Kung University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018163414","display_name":"Yong Xia","orcid":"https://orcid.org/0000-0001-6610-9680"},"institutions":[{"id":"https://openalex.org/I4391767781","display_name":"State Key Laboratory of Software Development Environment","ror":"https://ror.org/017r4dj03","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767781","https://openalex.org/I82880672"]},{"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":["State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People's Republic of China 1001 ...#TAB#"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, People's Republic of China 1001 ...#TAB#","institution_ids":["https://openalex.org/I82880672","https://openalex.org/I4391767781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005142149"],"corresponding_institution_ids":["https://openalex.org/I91807558"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.0278,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90128586,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"64","issue":"2","first_page":"399","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9965000152587891,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.8723286390304565},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.626442015171051},{"id":"https://openalex.org/keywords/rayleigh-quotient","display_name":"Rayleigh quotient","score":0.5956471562385559},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5614275336265564},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5546775460243225},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5116980075836182},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4944169521331787},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4438266456127167},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4422059953212738},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.42226940393447876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3579566776752472},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34386828541755676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3363400101661682}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8723286390304565},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.626442015171051},{"id":"https://openalex.org/C2778158742","wikidata":"https://www.wikidata.org/wiki/Q1665115","display_name":"Rayleigh quotient","level":3,"score":0.5956471562385559},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5614275336265564},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5546775460243225},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5116980075836182},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4944169521331787},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4438266456127167},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4422059953212738},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.42226940393447876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3579566776752472},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34386828541755676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3363400101661682},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-015-0315-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0315-2","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:64:y:2016:i:2:d:10.1007_s10898-015-0315-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-015-0315-2","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W36747366","https://openalex.org/W92269582","https://openalex.org/W572922989","https://openalex.org/W635215583","https://openalex.org/W1495367673","https://openalex.org/W1503221585","https://openalex.org/W1505348331","https://openalex.org/W1556949287","https://openalex.org/W1568307856","https://openalex.org/W1604569548","https://openalex.org/W1972292407","https://openalex.org/W1981745143","https://openalex.org/W1994011100","https://openalex.org/W1994666506","https://openalex.org/W1996396941","https://openalex.org/W2000118905","https://openalex.org/W2014833368","https://openalex.org/W2041756206","https://openalex.org/W2042390283","https://openalex.org/W2061269184","https://openalex.org/W2074859470","https://openalex.org/W2089986028","https://openalex.org/W2090180723","https://openalex.org/W2092679871","https://openalex.org/W2110540077","https://openalex.org/W2129386473","https://openalex.org/W2140214428","https://openalex.org/W2162366839","https://openalex.org/W2266946488","https://openalex.org/W2505197439","https://openalex.org/W2610857016","https://openalex.org/W2787523326","https://openalex.org/W2963280083","https://openalex.org/W4234534407","https://openalex.org/W4291236916"],"related_works":["https://openalex.org/W4383645627","https://openalex.org/W2362271161","https://openalex.org/W2102318942","https://openalex.org/W1554312158","https://openalex.org/W4300773192","https://openalex.org/W1984747265","https://openalex.org/W4308908069","https://openalex.org/W4289097017","https://openalex.org/W4311993079","https://openalex.org/W2906702131"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}