{"id":"https://openalex.org/W72823879","doi":null,"title":"On the convergence of derivative-free methods for unconstrained optimization","display_name":"On the convergence of derivative-free methods for unconstrained optimization","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W72823879","mag":"72823879"},"language":"en","primary_location":{"id":"pmh:oai:pure.unamur.be:openaire_cris_publications/6fa543b8-ccdc-46ce-823b-8363a38d2a73","doi":null,"is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/6fa543b8-ccdc-46ce-823b-8363a38d2a73","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conn, A, Scheinberg, K & Toint, P 1997, On the convergence of derivative-free methods for unconstrained optimization. in A Iserles & M Buhmann (eds), Approximation Theory and Optimization: Tributes to M. J. D. Powell. Cambridge University Press, Cambridge, UK, pp. 83-108.","raw_type":"bookPart"},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":[],"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/A5109371700","display_name":"Andy Conn","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andy Conn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026789944","display_name":"Katya Scheinberg","orcid":"https://orcid.org/0000-0003-3547-1841","observed_orcids":["https://orcid.org/0000-0003-3547-1841"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Katya Scheinberg","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3547-1841","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002913605","display_name":"Philippe L. Toint","orcid":"https://orcid.org/0000-0002-6166-1860","observed_orcids":["https://orcid.org/0000-0002-6166-1860"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Philippe L. Toint","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matique"],"raw_orcid":"https://orcid.org/0000-0002-6166-1860","affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.8909,"has_fulltext":false,"cited_by_count":152,"citation_normalized_percentile":{"value":0.98773006,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980000257492065,"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":0.9980000257492065,"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":0.00039999998989515007,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/derivative-free-optimization","display_name":"derivative-free optimization","score":0.9269999861717224},{"id":"https://openalex.org/keywords/trust-region-method","display_name":"trust region method","score":0.9480000138282776},{"id":"https://openalex.org/keywords/unconstrained-optimization","display_name":"unconstrained optimization","score":0.984000027179718},{"id":"https://openalex.org/keywords/global-convergence","display_name":"global convergence","score":0.9959999918937683},{"id":"https://openalex.org/keywords/interpolation-error-bounds","display_name":"interpolation error bounds","score":0.8109999895095825},{"id":"https://openalex.org/keywords/multivariate-polynomial-interpolation","display_name":"multivariate polynomial interpolation","score":0.968999981880188},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.656000018119812}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5677547454833984},{"id":"https://openalex.org/C29282572","wikidata":"https://www.wikidata.org/wiki/Q16977029","display_name":"Derivative-free optimization","level":4,"score":0.48096075654029846},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4735026955604553},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4464520514011383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4100531339645386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39562708139419556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.333298921585083},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.31329360604286194},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1105697751045227},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.10693559050559998},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:pure.unamur.be:openaire_cris_publications/6fa543b8-ccdc-46ce-823b-8363a38d2a73","doi":null,"is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/6fa543b8-ccdc-46ce-823b-8363a38d2a73","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conn, A, Scheinberg, K & Toint, P 1997, On the convergence of derivative-free methods for unconstrained optimization. in A Iserles & M Buhmann (eds), Approximation Theory and Optimization: Tributes to M. J. D. Powell. Cambridge University Press, Cambridge, UK, pp. 83-108.","raw_type":"bookPart"},{"id":"mag:72823879","doi":null,"is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/on-the-convergence-of-derivative-free-methods-for-unconstrained-o","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2783928381","https://openalex.org/W1969595659","https://openalex.org/W2972561311","https://openalex.org/W7097222212","https://openalex.org/W2167511885","https://openalex.org/W1966878414","https://openalex.org/W2084806369","https://openalex.org/W7097410165","https://openalex.org/W2308696994","https://openalex.org/W1924921769"],"abstract_inverted_index":{"The":[0,39],"purpose":[1],"of":[2,11,22,44,58],"this":[3],"paper":[4],"is":[5],"to":[6,25],"examine":[7],"a":[8,27],"broad":[9],"class":[10],"derivative-free":[12],"trust-region":[13],"methods":[14],"for":[15],"unconstrained":[16],"optimization":[17],"inspired":[18],"by":[19,50],"the":[20,56],"proposals":[21],"\\citebb{Powe94b}":[23],"and":[24,52],"derive":[26],"general":[28],"framework":[29],"in":[30,55],"which":[31],"reasonable":[32],"global":[33],"convergence":[34],"results":[35],"can":[36],"be":[37],"obtained.":[38],"developments":[40],"make":[41],"extensive":[42],"use":[43],"an":[45],"interpolation":[46],"error":[47],"bound":[48],"derived":[49],"Sauer":[51],"Xu":[53],"(1995)":[54],"context":[57],"multivariate":[59],"polynomial":[60],"interpolation.":[61]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":6}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}