{"id":"https://openalex.org/W4391421624","doi":"https://doi.org/10.1137/23m1578036","title":"Beyond the Fermat Optimality Rules","display_name":"Beyond the Fermat Optimality Rules","publication_year":2025,"publication_date":"2025-04-24","ids":{"openalex":"https://openalex.org/W4391421624","doi":"https://doi.org/10.1137/23m1578036"},"language":"en","primary_location":{"id":"doi:10.1137/23m1578036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1578036","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5091537521","display_name":"Malek Abbasi","orcid":null},"institutions":[{"id":"https://openalex.org/I201181511","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es","ror":"https://ror.org/0309cs235","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I39268498","display_name":"University of Isfahan","ror":"https://ror.org/05h9t7759","country_code":"IR","type":"education","lineage":["https://openalex.org/I39268498"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210132720","display_name":"Laboratoire d'Optique Appliqu\u00e9e","ror":"https://ror.org/03czns913","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I201181511","https://openalex.org/I4210098836","https://openalex.org/I4210132720","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4405258625"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4405258625","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es Paris","ror":"https://ror.org/0106ccb15","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4405258625"]}],"countries":["FR","IR"],"is_corresponding":false,"raw_author_name":"Malek Abbasi","raw_affiliation_strings":["Department of Mathematics, University of Isfahan, Isfahan, Iran","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","UMA - Unit\u00e9 de Math\u00e9matiques Appliqu\u00e9es (828, boulevard des Mar\u00e9chaux 91762 Palaiseau Cedex - France)","OC - Optimisation et commande (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)","ENSTA Paris - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Isfahan, Isfahan, Iran","institution_ids":["https://openalex.org/I39268498"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"UMA - Unit\u00e9 de Math\u00e9matiques Appliqu\u00e9es (828, boulevard des Mar\u00e9chaux 91762 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641"]},{"raw_affiliation_string":"OC - Optimisation et commande (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210132720"]},{"raw_affiliation_string":"ENSTA Paris - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I201181511","https://openalex.org/I4405258625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089451173","display_name":"Sorin\u2010Mihai Grad","orcid":"https://orcid.org/0000-0002-1139-7504"},"institutions":[{"id":"https://openalex.org/I39268498","display_name":"University of Isfahan","ror":"https://ror.org/05h9t7759","country_code":"IR","type":"education","lineage":["https://openalex.org/I39268498"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR","IR"],"is_corresponding":false,"raw_author_name":"Sorin-Mihai Grad","raw_affiliation_strings":["Corresponding author. Unit\u00e9 de Math\u00e9matiques Appliqu\u00e9es, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France","University of Isfahan (Iran)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. Unit\u00e9 de Math\u00e9matiques Appliqu\u00e9es, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I4210107641"]},{"raw_affiliation_string":"University of Isfahan (Iran)","institution_ids":["https://openalex.org/I39268498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018659841","display_name":"Michel Th\u00e9ra","orcid":"https://orcid.org/0000-0001-9022-6406"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]},{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["AU","FR"],"is_corresponding":false,"raw_author_name":"Michel A. Th\u00e9ra","raw_affiliation_strings":["Mathematics and Computer Science Department, University of Limoges, 87000 Limoges, France","Federation University Australia Ballarat (Australia)","XLIM-MATHIS - Math\u00e9matiques & S\u00e9curit\u00e9 de l'information (XLIM -  123, avenue Albert Thomas - 87060 LIMOGES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science Department, University of Limoges, 87000 Limoges, France","institution_ids":["https://openalex.org/I65806277"]},{"raw_affiliation_string":"Federation University Australia Ballarat (Australia)","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"XLIM-MATHIS - Math\u00e9matiques & S\u00e9curit\u00e9 de l'information (XLIM -  123, avenue Albert Thomas - 87060 LIMOGES CEDEX - France)","institution_ids":["https://openalex.org/I4210093397"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01172398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"2","first_page":"818","last_page":"841"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.7430780529975891},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40201905369758606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3884696364402771},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3783184587955475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19417941570281982}],"concepts":[{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.7430780529975891},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40201905369758606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3884696364402771},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3783184587955475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19417941570281982}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/23m1578036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1578036","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04431225v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04431225","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 Conference on Applied and Pure Mathematics - ICAPM 2023, Nov 2023, Iasi (Roumanie), Romania","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-04431231v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04431231","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":"PGMO Days 2023, Nov 2023, Palaiseau (91), France","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-04431904v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04431904","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":"SIAM Journal on Optimization, 2025, 35 (2), pp.818-841. ⟨10.1137/23M1578036⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2249808486","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4895254678","display_name":"LabEx Math\u00e9matique Hadamard","funder_award_id":"ANR-11-LABX-0056","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1573659356","https://openalex.org/W1972852917","https://openalex.org/W1979798441","https://openalex.org/W1999985809","https://openalex.org/W2015381910","https://openalex.org/W2027013172","https://openalex.org/W2040205564","https://openalex.org/W2066891346","https://openalex.org/W2076759192","https://openalex.org/W2090268690","https://openalex.org/W2097273628","https://openalex.org/W2114605231","https://openalex.org/W2153562582","https://openalex.org/W2265309840","https://openalex.org/W2328387438","https://openalex.org/W2885473730","https://openalex.org/W3007771594","https://openalex.org/W3092698367","https://openalex.org/W3157341860","https://openalex.org/W4231758816","https://openalex.org/W4249513058","https://openalex.org/W4310300362"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2024-02-01T00:00:00"}