{"id":"https://openalex.org/W4404790055","doi":"https://doi.org/10.1007/s11590-024-02165-2","title":"Convergence towards a local minimum by direct search methods with a covering step","display_name":"Convergence towards a local minimum by direct search methods with a covering step","publication_year":2024,"publication_date":"2024-11-27","ids":{"openalex":"https://openalex.org/W4404790055","doi":"https://doi.org/10.1007/s11590-024-02165-2"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-024-02165-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-024-02165-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5089929904","display_name":"Charles Audet","orcid":"https://orcid.org/0000-0002-3043-5393"},"institutions":[{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Charles Audet","raw_affiliation_strings":["GERAD, 3000 Ch. de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Qu\u00e9bec, Canada","Math\u00e9matiques et G\u00e9nie Industriel, Polytechnique Montr\u00e9al, 2500 Ch. de Polytechnique, Montr\u00e9al, H3T 1J4, Qu\u00e9bec, Canada"],"raw_orcid":"https://orcid.org/0000-0002-3043-5393","affiliations":[{"raw_affiliation_string":"GERAD, 3000 Ch. de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I4210133247"]},{"raw_affiliation_string":"Math\u00e9matiques et G\u00e9nie Industriel, Polytechnique Montr\u00e9al, 2500 Ch. de Polytechnique, Montr\u00e9al, H3T 1J4, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070426231","display_name":"Pierre-Yves Bouchet","orcid":"https://orcid.org/0000-0001-6560-8453"},"institutions":[{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Pierre-Yves Bouchet","raw_affiliation_strings":["GERAD, 3000 Ch. de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Qu\u00e9bec, Canada","Math\u00e9matiques et G\u00e9nie Industriel, Polytechnique Montr\u00e9al, 2500 Ch. de Polytechnique, Montr\u00e9al, H3T 1J4, Qu\u00e9bec, Canada"],"raw_orcid":"https://orcid.org/0000-0001-6560-8453","affiliations":[{"raw_affiliation_string":"GERAD, 3000 Ch. de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I4210133247"]},{"raw_affiliation_string":"Math\u00e9matiques et G\u00e9nie Industriel, Polytechnique Montr\u00e9al, 2500 Ch. de Polytechnique, Montr\u00e9al, H3T 1J4, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023291598","display_name":"Lo\u00efc Bourdin","orcid":"https://orcid.org/0000-0002-2979-0291"},"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/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lo\u00efc Bourdin","raw_affiliation_strings":["XLIM Research Institute, UMR CNRS 7252, Universit\u00e9 de Limoges, 123 Av. Albert Thomas, Limoges, 87000, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"XLIM Research Institute, UMR CNRS 7252, Universit\u00e9 de Limoges, 123 Av. Albert Thomas, Limoges, 87000, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070426231"],"corresponding_institution_ids":["https://openalex.org/I4210133247","https://openalex.org/I45683168"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31671554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"1","first_page":"211","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","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/T12661","display_name":"Iterative Methods for Nonlinear Equations","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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9976000189781189,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7424290180206299},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6616737842559814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5234983563423157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4757542312145233},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4298161268234253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22853374481201172},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08181679248809814}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7424290180206299},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6616737842559814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5234983563423157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4757542312145233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4298161268234253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22853374481201172},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08181679248809814},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11590-024-02165-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-024-02165-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:60338","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Rapport"},{"id":"pmh:oai:publications.polymtl.ca:57147","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/57147/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Rapport"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.699999988079071,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W75245544","https://openalex.org/W181733065","https://openalex.org/W1517229131","https://openalex.org/W1967968566","https://openalex.org/W1998855065","https://openalex.org/W2014337138","https://openalex.org/W2017001763","https://openalex.org/W2024948279","https://openalex.org/W2061367845","https://openalex.org/W2092266125","https://openalex.org/W2094268929","https://openalex.org/W2133356919","https://openalex.org/W2626285949","https://openalex.org/W2775085189","https://openalex.org/W2888761935","https://openalex.org/W2941034199","https://openalex.org/W3042036888","https://openalex.org/W3083147274","https://openalex.org/W3102143361","https://openalex.org/W3134032036","https://openalex.org/W3173141421","https://openalex.org/W4206225299","https://openalex.org/W4281736062","https://openalex.org/W4376473244","https://openalex.org/W4386579208","https://openalex.org/W4388573921","https://openalex.org/W4389065196","https://openalex.org/W4390673591"],"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":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
