{"id":"https://openalex.org/W2056197860","doi":"https://doi.org/10.1007/s11075-015-9962-0","title":"A family of iterative methods that uses divided differences of first and second orders","display_name":"A family of iterative methods that uses divided differences of first and second orders","publication_year":2015,"publication_date":"2015-01-26","ids":{"openalex":"https://openalex.org/W2056197860","doi":"https://doi.org/10.1007/s11075-015-9962-0","mag":"2056197860"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-9962-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9962-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5046706885","display_name":"J.A. Ezquerro","orcid":"https://orcid.org/0000-0001-8120-167X"},"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":"J. A. Ezquerro","raw_affiliation_strings":["Department of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain","Dept. of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain 26004#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain","institution_ids":["https://openalex.org/I168974976"]},{"raw_affiliation_string":"Dept. of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain 26004#TAB#","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108465303","display_name":"M. Grau-S\u00e1nchez","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. Grau-S\u00e1nchez","raw_affiliation_strings":["Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain","Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain 08034#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain 08034#TAB#","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","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, Logro\u00f1o, Spain","Dept. of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain 26004#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain","institution_ids":["https://openalex.org/I168974976"]},{"raw_affiliation_string":"Dept. of Mathematics and Computation, University of La Rioja, Logro\u00f1o, Spain 26004#TAB#","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048997055","display_name":"Miquel Noguera","orcid":"https://orcid.org/0000-0003-4629-6874"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. Noguera","raw_affiliation_strings":["Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain","Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain 08034#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Department of Applied Mathematics II, Technical University of Catalonia, Barcelona, Spain 08034#TAB#","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033198772","https://openalex.org/A5046706885","https://openalex.org/A5048997055","https://openalex.org/A5108465303"],"corresponding_institution_ids":["https://openalex.org/I168974976","https://openalex.org/I9617848"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9479,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90658899,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"3","first_page":"571","last_page":"589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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":1.0,"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":0.9944000244140625,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.982699990272522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8501491546630859},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8464183807373047},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6083450317382812},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6047755479812622},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5916849970817566},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5801833868026733},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5371471047401428},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5029472708702087},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4877191483974457},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46259182691574097},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.45175492763519287},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3346177041530609},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29822707176208496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2584943473339081},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2434999644756317},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1111840009689331}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8501491546630859},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8464183807373047},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6083450317382812},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6047755479812622},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5916849970817566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5801833868026733},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5371471047401428},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5029472708702087},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4877191483974457},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46259182691574097},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.45175492763519287},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3346177041530609},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29822707176208496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2584943473339081},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2434999644756317},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1111840009689331},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-015-9962-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9962-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:dnet:upcommonspor::69f961f6cc5202a31373c14ef74c9afe","is_oa":false,"landing_page_url":"http://hdl.handle.net/2117/80873","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/submittedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/80873","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/80873","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W418840","https://openalex.org/W203682837","https://openalex.org/W1516955418","https://openalex.org/W1555232731","https://openalex.org/W1828825926","https://openalex.org/W1969213662","https://openalex.org/W1972417972","https://openalex.org/W1978037138","https://openalex.org/W1978294589","https://openalex.org/W1982232744","https://openalex.org/W1995408288","https://openalex.org/W2005448961","https://openalex.org/W2007310030","https://openalex.org/W2011347541","https://openalex.org/W2054711601","https://openalex.org/W2057350717","https://openalex.org/W2062250587","https://openalex.org/W2075659701","https://openalex.org/W2077299910","https://openalex.org/W2079309582","https://openalex.org/W2123213107","https://openalex.org/W2166523047","https://openalex.org/W4211201126","https://openalex.org/W4312278753"],"related_works":["https://openalex.org/W2276545079","https://openalex.org/W2955846225","https://openalex.org/W2375682646","https://openalex.org/W2808820944","https://openalex.org/W4310291161","https://openalex.org/W2085261743","https://openalex.org/W2008631855","https://openalex.org/W2891008028","https://openalex.org/W2907692489","https://openalex.org/W2005999511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}