{"id":"https://openalex.org/W4323980071","doi":"https://doi.org/10.1007/s10957-023-02196-2","title":"Improved Convex and Concave Relaxations of Composite Bilinear Forms","display_name":"Improved Convex and Concave Relaxations of Composite Bilinear Forms","publication_year":2023,"publication_date":"2023-03-12","ids":{"openalex":"https://openalex.org/W4323980071","doi":"https://doi.org/10.1007/s10957-023-02196-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-023-02196-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-023-02196-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory 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/A5051995225","display_name":"Matthew E. Wilhelm","orcid":"https://orcid.org/0000-0002-4125-1493"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew E. Wilhelm","raw_affiliation_strings":["Process Systems and Operations Research Laboratory, Department of Chemical and Biomolecular Engineering, University of Connecticut, 191 Auditorium Road, Unit 3222, Storrs, CT, 0626, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Systems and Operations Research Laboratory, Department of Chemical and Biomolecular Engineering, University of Connecticut, 191 Auditorium Road, Unit 3222, Storrs, CT, 0626, USA","institution_ids":["https://openalex.org/I140172145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041747414","display_name":"Matthew D. Stuber","orcid":"https://orcid.org/0000-0001-8435-9552"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Matthew D. Stuber","raw_affiliation_strings":["Process Systems and Operations Research Laboratory, Department of Chemical and Biomolecular Engineering, University of Connecticut, 191 Auditorium Road, Unit 3222, Storrs, CT, 0626, USA"],"raw_orcid":"https://orcid.org/0000-0001-8435-9552","affiliations":[{"raw_affiliation_string":"Process Systems and Operations Research Laboratory, Department of Chemical and Biomolecular Engineering, University of Connecticut, 191 Auditorium Road, Unit 3222, Storrs, CT, 0626, USA","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041747414"],"corresponding_institution_ids":["https://openalex.org/I140172145"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03923799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"197","issue":"1","first_page":"174","last_page":"204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9873999953269958,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9688000082969666,"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":0.652557373046875},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6214666366577148},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5390495657920837},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5112550258636475},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.503410279750824},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5007531642913818},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5004773139953613},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4549729824066162},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.445004940032959},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.43691951036453247},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40002885460853577},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10942092537879944}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.652557373046875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6214666366577148},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5390495657920837},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5112550258636475},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.503410279750824},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5007531642913818},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5004773139953613},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4549729824066162},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.445004940032959},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.43691951036453247},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40002885460853577},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10942092537879944},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-023-02196-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-023-02196-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:197:y:2023:i:1:d:10.1007_s10957-023-02196-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-023-02196-2","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":[{"id":"https://metadata.un.org/sdg/16","score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G7148332545","display_name":null,"funder_award_id":"FA8650-20-C-5206","funder_id":"https://openalex.org/F4320338294","funder_display_name":"Air Force Research Laboratory"},{"id":"https://openalex.org/G7341110746","display_name":"Robust Optimization of Nonlinear Dynamical Systems","funder_award_id":"1932723","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W182691100","https://openalex.org/W1016224041","https://openalex.org/W1090341612","https://openalex.org/W1503425191","https://openalex.org/W1968883268","https://openalex.org/W1976996892","https://openalex.org/W1982200089","https://openalex.org/W1984537576","https://openalex.org/W1988622494","https://openalex.org/W2004407575","https://openalex.org/W2016232724","https://openalex.org/W2019855902","https://openalex.org/W2021674665","https://openalex.org/W2026964350","https://openalex.org/W2044827737","https://openalex.org/W2047773517","https://openalex.org/W2050339136","https://openalex.org/W2056337104","https://openalex.org/W2063908353","https://openalex.org/W2079014826","https://openalex.org/W2079585172","https://openalex.org/W2079800122","https://openalex.org/W2083297516","https://openalex.org/W2085969366","https://openalex.org/W2094727246","https://openalex.org/W2111671783","https://openalex.org/W2120575449","https://openalex.org/W2131798279","https://openalex.org/W2140637471","https://openalex.org/W2146341805","https://openalex.org/W2149381887","https://openalex.org/W2149454052","https://openalex.org/W2227719699","https://openalex.org/W2294747177","https://openalex.org/W2296887561","https://openalex.org/W2395560257","https://openalex.org/W2476622064","https://openalex.org/W2476946259","https://openalex.org/W2536741590","https://openalex.org/W2576928011","https://openalex.org/W2612340470","https://openalex.org/W2744682643","https://openalex.org/W2773988252","https://openalex.org/W2784871291","https://openalex.org/W2790720375","https://openalex.org/W2792528711","https://openalex.org/W2897068263","https://openalex.org/W2906141735","https://openalex.org/W2949495973","https://openalex.org/W2962939142","https://openalex.org/W2963311740","https://openalex.org/W2963990227","https://openalex.org/W2964009691","https://openalex.org/W2964800482","https://openalex.org/W2972937194","https://openalex.org/W2981290106","https://openalex.org/W3022738736","https://openalex.org/W3042590498","https://openalex.org/W3048483007","https://openalex.org/W3099176675","https://openalex.org/W3103957401","https://openalex.org/W3119871935","https://openalex.org/W3175956409","https://openalex.org/W3181879400","https://openalex.org/W4212864101","https://openalex.org/W4223636185","https://openalex.org/W4229666556","https://openalex.org/W4292014633","https://openalex.org/W4293660124","https://openalex.org/W6893857330"],"related_works":["https://openalex.org/W2359120930","https://openalex.org/W2037613239","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W2140018151","https://openalex.org/W3088056528","https://openalex.org/W2811183536","https://openalex.org/W4312559935","https://openalex.org/W2086393803","https://openalex.org/W3103191366"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
