{"id":"https://openalex.org/W2031092060","doi":"https://doi.org/10.1142/s0218654310001304","title":"OPTIMIZATIONS FOR TENSORIAL BERNSTEIN\u2013BASED SOLVERS BY USING POLYHEDRAL BOUNDS","display_name":"OPTIMIZATIONS FOR TENSORIAL BERNSTEIN\u2013BASED SOLVERS BY USING POLYHEDRAL BOUNDS","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2031092060","doi":"https://doi.org/10.1142/s0218654310001304","mag":"2031092060"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654310001304","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654310001304","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","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/A5011974810","display_name":"Christoph F\u00fcnfzig","orcid":"https://orcid.org/0000-0003-4192-0105"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"CHRISTOPH F\u00dcNFZIG","raw_affiliation_strings":["Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, France","Universit\u00e9 de Bourgogne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439"]},{"raw_affiliation_string":"Universit\u00e9 de Bourgogne","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004426485","display_name":"Dominique Michelucci","orcid":"https://orcid.org/0000-0002-1256-9080"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"DOMINIQUE MICHELUCCI","raw_affiliation_strings":["Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, France","Universit\u00e9 de Bourgogne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439"]},{"raw_affiliation_string":"Universit\u00e9 de Bourgogne","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060004234","display_name":"Sebti Foufou","orcid":"https://orcid.org/0000-0002-3555-9125"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210136953","display_name":"Laboratoire d\u2019\u00c9lectronique, Informatique et Image","ror":"https://ror.org/04gnd7c94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210118524","https://openalex.org/I4210134562","https://openalex.org/I4210136953","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"SEBTI FOUFOU","raw_affiliation_strings":["Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, FranceComputer Science and Engineering, Qatar University, Doha, Qatar","Laboratoire Electronique, Informatique et Image [UMR6306]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab Electronics, Imaging and Informatics (UMR CNRS 5158), Universit\u00e9 de Bourgogne, Dijon, FranceComputer Science and Engineering, Qatar University, Doha, Qatar","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439"]},{"raw_affiliation_string":"Laboratoire Electronique, Informatique et Image [UMR6306]","institution_ids":["https://openalex.org/I4210136953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9067,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75127829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"01n02","first_page":"109","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10188","display_name":"Advanced machining processes and optimization","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/solver","display_name":"Solver","score":0.6949576735496521},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6406931281089783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6003496646881104},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.500798225402832},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.47293829917907715},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4667511284351349},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4503060281276703},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4286348521709442},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33233726024627686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3170771598815918},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13090625405311584},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1126360297203064}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6949576735496521},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6406931281089783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6003496646881104},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.500798225402832},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.47293829917907715},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4667511284351349},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4503060281276703},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4286348521709442},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33233726024627686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3170771598815918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13090625405311584},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1126360297203064}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218654310001304","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654310001304","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00629036v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00629036","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Shape Modeling, 2010, 16 (1-2), pp.109-128. ⟨10.1142/S0218654310001304⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327269","display_name":"Conseil r\u00e9gional de Bourgogne-Franche-Comt\u00e9","ror":"https://ror.org/04t9bwz39"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W233031762","https://openalex.org/W1587477963","https://openalex.org/W1979084035","https://openalex.org/W2024342772","https://openalex.org/W2033403483","https://openalex.org/W2086421911","https://openalex.org/W2164278974"],"related_works":["https://openalex.org/W2399505800","https://openalex.org/W2018253224","https://openalex.org/W333749553","https://openalex.org/W1966623661","https://openalex.org/W2942288111","https://openalex.org/W2039516134","https://openalex.org/W1509594480","https://openalex.org/W2788737482","https://openalex.org/W4280529077","https://openalex.org/W180925886"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}