{"id":"https:\/\/openalex.org\/W2209204538","doi":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.007","title":"On the ball of convergence of secant-like methods for non-differentiable operators","display_name":"On the ball of convergence of secant-like methods for non-differentiable operators","publication_year":2015,"publication_date":"2015-11-12","ids":{"openalex":"https:\/\/openalex.org\/W2209204538","doi":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.007","mag":"2209204538"},"language":"en","primary_location":{"id":"doi:10.1016\/j.amc.2015.10.007","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.007","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https:\/\/openalex.org\/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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\/A5033198772","display_name":"M.A. Hern\u00e1ndez","orcid":"https:\/\/orcid.org\/0000-0001-5478-2958"},"institutions":[{"id":"https:\/\/openalex.org\/I168974976","display_name":"Universidad de La Rioja","ror":"https:\/\/ror.org\/0553yr311","country_code":"ES","type":"education","lineage":["https:\/\/openalex.org\/I168974976"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M.A. Hern\u00e1ndez-Ver\u00f3n","raw_affiliation_strings":["Department of Mathematics and Computation, University of La Rioja, 26004 Logro\u00f1o, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation, University of La Rioja, 26004 Logro\u00f1o, Spain","institution_ids":["https:\/\/openalex.org\/I168974976"]}]},{"author_position":"last","author":{"id":"https:\/\/openalex.org\/A5004028341","display_name":"M.J. Rubio","orcid":"https:\/\/orcid.org\/0000-0002-8765-4060"},"institutions":[{"id":"https:\/\/openalex.org\/I168974976","display_name":"Universidad de La Rioja","ror":"https:\/\/ror.org\/0553yr311","country_code":"ES","type":"education","lineage":["https:\/\/openalex.org\/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.J. Rubio","raw_affiliation_strings":["Department of Mathematics and Computation, University of La Rioja, 26004 Logro\u00f1o, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation, University of La Rioja, 26004 Logro\u00f1o, Spain","institution_ids":["https:\/\/openalex.org\/I168974976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https:\/\/openalex.org\/A5033198772"],"corresponding_institution_ids":["https:\/\/openalex.org\/I168974976"],"apc_list":{"value":3470,"currency":"USD","value_usd":3470},"apc_paid":null,"fwci":1.7594,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84712514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"273","issue":null,"first_page":"506","last_page":"512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https:\/\/openalex.org\/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1,"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":1,"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":0.989300012588501,"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\/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9713000059127808,"subfield":{"id":"https:\/\/openalex.org\/subfields\/2611","display_name":"Modeling and Simulation"},"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\/ball","display_name":"Ball (mathematics)","score":0.6935222148895264},{"id":"https:\/\/openalex.org\/keywords\/differentiable-function","display_name":"Differentiable function","score":0.6747218370437622},{"id":"https:\/\/openalex.org\/keywords\/secant-method","display_name":"Secant method","score":0.6013270020484924},{"id":"https:\/\/openalex.org\/keywords\/convergence","display_name":"Convergence (economics)","score":0.5872128009796143},{"id":"https:\/\/openalex.org\/keywords\/mathematics","display_name":"Mathematics","score":0.564095675945282},{"id":"https:\/\/openalex.org\/keywords\/applied-mathematics","display_name":"Applied mathematics","score":0.5268777012825012},{"id":"https:\/\/openalex.org\/keywords\/numerical-analysis","display_name":"Numerical analysis","score":0.4192982017993927},{"id":"https:\/\/openalex.org\/keywords\/mathematical-analysis","display_name":"Mathematical analysis","score":0.34735310077667236},{"id":"https:\/\/openalex.org\/keywords\/newtons-method","display_name":"Newton's method","score":0.30519455671310425},{"id":"https:\/\/openalex.org\/keywords\/physics","display_name":"Physics","score":0.08724069595336914}],"concepts":[{"id":"https:\/\/openalex.org\/C122041747","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.6935222148895264},{"id":"https:\/\/openalex.org\/C202615002","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q783507","display_name":"Differentiable function","level":2,"score":0.6747218370437622},{"id":"https:\/\/openalex.org\/C93926214","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q14915286","display_name":"Secant method","level":4,"score":0.6013270020484924},{"id":"https:\/\/openalex.org\/C2777303404","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5872128009796143},{"id":"https:\/\/openalex.org\/C33923547","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q395","display_name":"Mathematics","level":0,"score":0.564095675945282},{"id":"https:\/\/openalex.org\/C28826006","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q33521","display_name":"Applied mathematics","level":1,"score":0.5268777012825012},{"id":"https:\/\/openalex.org\/C48753275","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q11216","display_name":"Numerical analysis","level":2,"score":0.4192982017993927},{"id":"https:\/\/openalex.org\/C134306372","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34735310077667236},{"id":"https:\/\/openalex.org\/C85189116","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q374195","display_name":"Newton's method","level":3,"score":0.30519455671310425},{"id":"https:\/\/openalex.org\/C121332964","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q413","display_name":"Physics","level":0,"score":0.08724069595336914},{"id":"https:\/\/openalex.org\/C50522688","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q189833","display_name":"Economic growth","level":1,"score":0},{"id":"https:\/\/openalex.org\/C62520636","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q944","display_name":"Quantum mechanics","level":1,"score":0},{"id":"https:\/\/openalex.org\/C158622935","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q660848","display_name":"Nonlinear system","level":2,"score":0},{"id":"https:\/\/openalex.org\/C162324750","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q8134","display_name":"Economics","level":0,"score":0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016\/j.amc.2015.10.007","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1016\/j.amc.2015.10.007","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https:\/\/openalex.org\/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:apmaco:v:273:y:2016:i:c:p:506-512","is_oa":false,"landing_page_url":"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0096300315013399","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https:\/\/openalex.org\/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https:\/\/openalex.org\/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https:\/\/metadata.un.org\/sdg\/10","display_name":"Reduced inequalities","score":0.46000000834465027}],"awards":[],"funders":[{"id":"https:\/\/openalex.org\/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https:\/\/ror.org\/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https:\/\/openalex.org\/W1998345131","https:\/\/openalex.org\/W2003628033","https:\/\/openalex.org\/W2003926286","https:\/\/openalex.org\/W2005448961","https:\/\/openalex.org\/W2007310030","https:\/\/openalex.org\/W2008384830","https:\/\/openalex.org\/W2028410642","https:\/\/openalex.org\/W2060066247","https:\/\/openalex.org\/W2073832279","https:\/\/openalex.org\/W2083300135","https:\/\/openalex.org\/W2103837007","https:\/\/openalex.org\/W4312278753"],"related_works":["https:\/\/openalex.org\/W3121003276","https:\/\/openalex.org\/W1987597427","https:\/\/openalex.org\/W2049247717","https:\/\/openalex.org\/W2042383140","https:\/\/openalex.org\/W2086223268","https:\/\/openalex.org\/W2143573110","https:\/\/openalex.org\/W2598794862","https:\/\/openalex.org\/W4291511763","https:\/\/openalex.org\/W2004754728","https:\/\/openalex.org\/W1523161647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}