{"id":"https://openalex.org/W4402525278","doi":"https://doi.org/10.1051/ro/2024176","title":"Tighter convex underestimator for general twice differentiable function for global optimization","display_name":"Tighter convex underestimator for general twice differentiable function for global optimization","publication_year":2024,"publication_date":"2024-09-13","ids":{"openalex":"https://openalex.org/W4402525278","doi":"https://doi.org/10.1051/ro/2024176"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024176","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024176","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/06/ro220297.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/06/ro220297.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060171810","display_name":"Djamel Zerrouki","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Djamel Zerrouki","raw_affiliation_strings":["LAROMAD, Facult\u00e9 des Sciences, Universit\u00e9 Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAROMAD, Facult\u00e9 des Sciences, Universit\u00e9 Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria","institution_ids":["https://openalex.org/I4210159538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011105114","display_name":"Mohand Ouan\u00e8s","orcid":"https://orcid.org/0000-0003-3868-9141"},"institutions":[{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Mohand Ouanes","raw_affiliation_strings":["LAROMAD, Facult\u00e9 des Sciences, Universit\u00e9 Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAROMAD, Facult\u00e9 des Sciences, Universit\u00e9 Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria","institution_ids":["https://openalex.org/I4210159538"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011105114"],"corresponding_institution_ids":["https://openalex.org/I4210159538"],"apc_list":null,"apc_paid":null,"fwci":0.6088,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64473684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"58","issue":"6","first_page":"5051","last_page":"5062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"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":0.9983000159263611,"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":0.9944999814033508,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9556999802589417,"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/differentiable-function","display_name":"Differentiable function","score":0.8473180532455444},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5404689311981201},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5230211615562439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5186259150505066},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49121659994125366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4891374409198761},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4708038568496704},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.44959723949432373},{"id":"https://openalex.org/keywords/pseudoconvex-function","display_name":"Pseudoconvex function","score":0.42541244626045227},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4025843143463135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2714577913284302},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09116104245185852}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.8473180532455444},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5404689311981201},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5230211615562439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5186259150505066},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49121659994125366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4891374409198761},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4708038568496704},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.44959723949432373},{"id":"https://openalex.org/C118888059","wikidata":"https://www.wikidata.org/wiki/Q7254692","display_name":"Pseudoconvex function","level":5,"score":0.42541244626045227},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4025843143463135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2714577913284302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09116104245185852},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2024176","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024176","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/06/ro220297.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2024176","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024176","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/06/ro220297.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402525278.pdf","grobid_xml":"https://content.openalex.org/works/W4402525278.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1700341043","https://openalex.org/W1981367768","https://openalex.org/W1984425167","https://openalex.org/W1990494141","https://openalex.org/W2011500064","https://openalex.org/W2014328887","https://openalex.org/W2025756630","https://openalex.org/W2025836705","https://openalex.org/W2056371558","https://openalex.org/W2067120253","https://openalex.org/W2078721614","https://openalex.org/W2293000863","https://openalex.org/W2911122054","https://openalex.org/W3146520007","https://openalex.org/W4402525278"],"related_works":["https://openalex.org/W2485727134","https://openalex.org/W2066180314","https://openalex.org/W4248569606","https://openalex.org/W4385382439","https://openalex.org/W2510140549","https://openalex.org/W2130502871","https://openalex.org/W2370594013","https://openalex.org/W2388570749","https://openalex.org/W4239678022","https://openalex.org/W2153986439"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"new":[4,14,36],"convex":[5],"underestimator":[6,15,37,43],"for":[7,27],"general":[8],"C":[9],"2":[10],"nonconvex":[11],"functions.":[12],"The":[13],"can":[16],"be":[17],"used":[18],"in":[19,44],"the":[20,35,41,45],"branch":[21],"and":[22],"bound":[23],"algorithm":[24],"\u03b1":[25,46],"BB":[26,47],"solving":[28],"global":[29],"optimization":[30],"problems.":[31],"We":[32],"show":[33],"that":[34],"is":[38],"tighter":[39],"than":[40],"classical":[42],"method.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2024-09-14T00:00:00"}