{"id":"https://openalex.org/W1509735604","doi":"https://doi.org/10.1007/978-3-540-88269-5_18","title":"Golden Complementary Dual in Quadratic Optimization","display_name":"Golden Complementary Dual in Quadratic Optimization","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1509735604","doi":"https://doi.org/10.1007/978-3-540-88269-5_18","mag":"1509735604"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-88269-5_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88269-5_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5041941971","display_name":"Akifumi Kira","orcid":"https://orcid.org/0000-0003-2921-5630"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akifumi Kira","raw_affiliation_strings":["Faculty of Economics, Kyushu University, 6-19-1 Hakozaki, Higashi, Fukuoka, 812-8581, Japan","Faculty of Economics, Kyushu University, Fukuoka, Japan 812-8581#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Kyushu University, 6-19-1 Hakozaki, Higashi, Fukuoka, 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Faculty of Economics, Kyushu University, Fukuoka, Japan 812-8581#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109911231","display_name":"Seiichi Iwamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Seiichi Iwamoto","raw_affiliation_strings":["Faculty of Economics, Kyushu University, 6-19-1 Hakozaki, Higashi, Fukuoka, 812-8581, Japan","Faculty of Economics, Kyushu University, Fukuoka, Japan 812-8581#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Kyushu University, 6-19-1 Hakozaki, Higashi, Fukuoka, 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Faculty of Economics, Kyushu University, Fukuoka, Japan 812-8581#TAB#","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12625538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"191","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9930999875068665,"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":0.9930999875068665,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/golden-ratio","display_name":"Golden ratio","score":0.9434597492218018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.53531813621521},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5256715416908264},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5094826817512512},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.48421645164489746},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4838191866874695},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4816940724849701},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.46139881014823914},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4328472912311554},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4220709800720215},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.42066651582717896},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4170915484428406},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34294772148132324},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0651000440120697}],"concepts":[{"id":"https://openalex.org/C18802822","wikidata":"https://www.wikidata.org/wiki/Q41690","display_name":"Golden ratio","level":2,"score":0.9434597492218018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.53531813621521},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5256715416908264},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5094826817512512},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.48421645164489746},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4838191866874695},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4816940724849701},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.46139881014823914},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4328472912311554},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4220709800720215},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.42066651582717896},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4170915484428406},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34294772148132324},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0651000440120697},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-88269-5_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88269-5_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W28428598","https://openalex.org/W370143576","https://openalex.org/W643124162","https://openalex.org/W1569479482","https://openalex.org/W1586381525","https://openalex.org/W1986875552","https://openalex.org/W2042774807","https://openalex.org/W2044142885","https://openalex.org/W2049845538","https://openalex.org/W2094802922","https://openalex.org/W2798766386","https://openalex.org/W4301101863","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W2900864464","https://openalex.org/W2475480881","https://openalex.org/W2121723556","https://openalex.org/W54727051","https://openalex.org/W2783639087","https://openalex.org/W2155956102","https://openalex.org/W2390244926","https://openalex.org/W2112820851","https://openalex.org/W2077098522","https://openalex.org/W4239446003"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}