{"id":"https://openalex.org/W2104021454","doi":"https://doi.org/10.1007/s10589-007-9028-x","title":"Nonmonotone derivative-free methods for nonlinear equations","display_name":"Nonmonotone derivative-free methods for nonlinear equations","publication_year":2007,"publication_date":"2007-03-29","ids":{"openalex":"https://openalex.org/W2104021454","doi":"https://doi.org/10.1007/s10589-007-9028-x","mag":"2104021454"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9028-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9028-x","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5010685170","display_name":"Luigi Grippo","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"L. Grippo","raw_affiliation_strings":["Dipartimento di Informatica e Sistemistica, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via Buonarroti 12, 00185, Roma, Italy","Dipartimento di Informatica e Sistemistica, Universit\u00e0 di Roma La Sapienza, Roma, Italy 00185"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via Buonarroti 12, 00185, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica, Universit\u00e0 di Roma La Sapienza, Roma, Italy 00185","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081279718","display_name":"Marco Sciandrone","orcid":"https://orcid.org/0000-0002-5234-3174"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Sciandrone","raw_affiliation_strings":["Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#"],"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","institution_ids":["https://openalex.org/I4210162062"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#","institution_ids":["https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010685170"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.0282,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.86278635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"37","issue":"3","first_page":"297","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"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":0.9988999962806702,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9887999892234802,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.707146406173706},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.646969199180603},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6044597625732422},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4998133182525635},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4973321259021759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4923802614212036},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47522667050361633},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4271978735923767},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.417011559009552},{"id":"https://openalex.org/keywords/fr\u00e9chet-derivative","display_name":"Fr\u00e9chet derivative","score":0.4151308536529541},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1644223928451538}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.707146406173706},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.646969199180603},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6044597625732422},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4998133182525635},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4973321259021759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4923802614212036},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47522667050361633},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4271978735923767},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.417011559009552},{"id":"https://openalex.org/C118335899","wikidata":"https://www.wikidata.org/wiki/Q1305350","display_name":"Fr\u00e9chet derivative","level":3,"score":0.4151308536529541},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1644223928451538},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-007-9028-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9028-x","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/256047","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/256047","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/809","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-34547250036&partnerID=65&md5=8625ba64006670def6bc93eed6a8c14f","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W8821478","https://openalex.org/W1497361805","https://openalex.org/W1580352598","https://openalex.org/W1592657385","https://openalex.org/W1786620475","https://openalex.org/W1978562552","https://openalex.org/W1979802267","https://openalex.org/W1984195637","https://openalex.org/W1995091049","https://openalex.org/W1998983110","https://openalex.org/W2001024683","https://openalex.org/W2005121819","https://openalex.org/W2009388515","https://openalex.org/W2012341322","https://openalex.org/W2012564502","https://openalex.org/W2035226238","https://openalex.org/W2037504242","https://openalex.org/W2043430160","https://openalex.org/W2068484625","https://openalex.org/W2074809615","https://openalex.org/W2076605490","https://openalex.org/W2079440004","https://openalex.org/W2084806369","https://openalex.org/W2090963365","https://openalex.org/W2118700449","https://openalex.org/W2143476164","https://openalex.org/W2162737890","https://openalex.org/W2166308223","https://openalex.org/W4206097460","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2245126542","https://openalex.org/W2154833956","https://openalex.org/W2092592200","https://openalex.org/W1980877956","https://openalex.org/W2097846334","https://openalex.org/W2547159309","https://openalex.org/W4306294781","https://openalex.org/W2766857374","https://openalex.org/W4247076037","https://openalex.org/W2531699496"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}