{"id":"https://openalex.org/W1983273924","doi":"https://doi.org/10.1007/s10589-012-9462-2","title":"On solving biquadratic optimization via semidefinite relaxation","display_name":"On solving biquadratic optimization via semidefinite relaxation","publication_year":2012,"publication_date":"2012-02-09","ids":{"openalex":"https://openalex.org/W1983273924","doi":"https://doi.org/10.1007/s10589-012-9462-2","mag":"1983273924"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-012-9462-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9462-2","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/A5068922983","display_name":"Yuning Yang","orcid":"https://orcid.org/0000-0003-1805-4210"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuning Yang","raw_affiliation_strings":["School of Mathematics Science and LPMC, Nankai University, Tianjin, 300071, P.R. China","School of Mathematics Science and LPMC, Nankai University, Tianjin, P.R. China 300071#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Science and LPMC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematics Science and LPMC, Nankai University, Tianjin, P.R. China 300071#TAB#","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102101554","display_name":"Qingzhi Yang","orcid":"https://orcid.org/0000-0002-4806-7605"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingzhi Yang","raw_affiliation_strings":["School of Mathematics Science and LPMC, Nankai University, Tianjin, 300071, P.R. China","School of Mathematics Science and LPMC, Nankai University, Tianjin, P.R. China 300071#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Science and LPMC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematics Science and LPMC, Nankai University, Tianjin, P.R. China 300071#TAB#","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068922983"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3611,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78218466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"3","first_page":"845","last_page":"867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9983999729156494,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.9413522481918335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8172816038131714},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.6762588024139404},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.600851833820343},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5479159951210022},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5018465518951416},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48658668994903564},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39724791049957275},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.2588816285133362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12774834036827087},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.11327037215232849}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.9413522481918335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8172816038131714},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.6762588024139404},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.600851833820343},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5479159951210022},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5018465518951416},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48658668994903564},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39724791049957275},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.2588816285133362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12774834036827087},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.11327037215232849},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-012-9462-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9462-2","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:RePEc:spr:coopap:v:53:y:2012:i:3:p:845-867","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-012-9462-2","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1246381107","https://openalex.org/W1606052501","https://openalex.org/W1698110770","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1970398122","https://openalex.org/W1976492279","https://openalex.org/W1977675969","https://openalex.org/W1981973750","https://openalex.org/W1985123706","https://openalex.org/W1986407511","https://openalex.org/W1991486419","https://openalex.org/W1999276385","https://openalex.org/W2000825868","https://openalex.org/W2005304063","https://openalex.org/W2014793162","https://openalex.org/W2018282388","https://openalex.org/W2022242697","https://openalex.org/W2024165284","https://openalex.org/W2037994541","https://openalex.org/W2045148236","https://openalex.org/W2071000534","https://openalex.org/W2076426934","https://openalex.org/W2085795790","https://openalex.org/W2090208105","https://openalex.org/W2097504558","https://openalex.org/W2098098075","https://openalex.org/W2099741732","https://openalex.org/W2113074910","https://openalex.org/W2113722075","https://openalex.org/W2128762995","https://openalex.org/W2133404041","https://openalex.org/W2149049779","https://openalex.org/W2163718799","https://openalex.org/W2167217202","https://openalex.org/W2225937484","https://openalex.org/W2404400936","https://openalex.org/W3023108254"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2288891047","https://openalex.org/W2524928742","https://openalex.org/W2362452378","https://openalex.org/W2353517195","https://openalex.org/W3166939022","https://openalex.org/W1727084346","https://openalex.org/W2544939111","https://openalex.org/W2386048074","https://openalex.org/W2952841129"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
