{"id":"https://openalex.org/W2072697302","doi":"https://doi.org/10.1007/s10957-012-0216-1","title":"Frozen Iterative Methods Using Divided Differences \u201c\u00e0 la Schmidt\u2013Schwetlick\u201d","display_name":"Frozen Iterative Methods Using Divided Differences \u201c\u00e0 la Schmidt\u2013Schwetlick\u201d","publication_year":2012,"publication_date":"2012-11-08","ids":{"openalex":"https://openalex.org/W2072697302","doi":"https://doi.org/10.1007/s10957-012-0216-1","mag":"2072697302"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0216-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0216-1","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://investigacion.unirioja.es/documentos/5bbc68adb750603269e80d73","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103455043","display_name":"Miquel 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":false,"raw_author_name":"Miquel Grau-S\u00e1nchez","raw_affiliation_strings":["Dept. of Applied Mathematics II, Technical University of Catalonia, Jordi Girona 1-3, 08034, Barcelona, Spain","Technical University of Catalonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics II, Technical University of Catalonia, Jordi Girona 1-3, 08034, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Technical University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","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":false,"raw_author_name":"Miquel Noguera","raw_affiliation_strings":["Dept. of Applied Mathematics II, Technical University of Catalonia, Jordi Girona 1-3, 08034, Barcelona, Spain","Technical University of Catalonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics II, Technical University of Catalonia, Jordi Girona 1-3, 08034, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Technical University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089932651","display_name":"J.M. Guti\u00e9rrez","orcid":"https://orcid.org/0000-0002-0434-7250"},"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":"Jos\u00e9 M. Guti\u00e9rrez","raw_affiliation_strings":["Dept. of Mathematics and Computing, University of La Rioja, Luis de Ulloa s/n, 26004, Logro\u00f1o, Spain","University of La Rioja"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Computing, University of La Rioja, Luis de Ulloa s/n, 26004, Logro\u00f1o, Spain","institution_ids":["https://openalex.org/I168974976"]},{"raw_affiliation_string":"University of La Rioja","institution_ids":["https://openalex.org/I168974976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089932651"],"corresponding_institution_ids":["https://openalex.org/I168974976"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.15198238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"160","issue":"3","first_page":"931","last_page":"948"},"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":0.9966999888420105,"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":0.9902999997138977,"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":0.8131017684936523},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7774853706359863},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.774995744228363},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.612354040145874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.576899528503418},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.529246985912323},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.506322979927063},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.48913314938545227},{"id":"https://openalex.org/keywords/secant-method","display_name":"Secant method","score":0.4367876648902893},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3792012333869934},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.3409830629825592},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33608439564704895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2231612205505371},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.053829848766326904}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8131017684936523},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7774853706359863},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.774995744228363},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.612354040145874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.576899528503418},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.529246985912323},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.506322979927063},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.48913314938545227},{"id":"https://openalex.org/C93926214","wikidata":"https://www.wikidata.org/wiki/Q14915286","display_name":"Secant method","level":4,"score":0.4367876648902893},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3792012333869934},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.3409830629825592},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33608439564704895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2231612205505371},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.053829848766326904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-012-0216-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0216-1","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:160:y:2014:i:3:d:10.1007_s10957-012-0216-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0216-1","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"},{"id":"pmh:oai:portal.dialnet.es:doc/5bbc68adb750603269e80d73","is_oa":true,"landing_page_url":"https://investigacion.unirioja.es/documentos/5bbc68adb750603269e80d73","pdf_url":null,"source":{"id":"https://openalex.org/S4306402551","display_name":"RIUR (Universidad de La Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3032752892","host_organization_name":"Universidad Internacional de La Rioja","host_organization_lineage":["https://openalex.org/I3032752892"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:portal.dialnet.es:doc/5bbc68adb750603269e80d73","is_oa":true,"landing_page_url":"https://investigacion.unirioja.es/documentos/5bbc68adb750603269e80d73","pdf_url":null,"source":{"id":"https://openalex.org/S4306402551","display_name":"RIUR (Universidad de La Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3032752892","host_organization_name":"Universidad Internacional de La Rioja","host_organization_lineage":["https://openalex.org/I3032752892"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W203682837","https://openalex.org/W561852536","https://openalex.org/W1555232731","https://openalex.org/W1965459507","https://openalex.org/W1969213662","https://openalex.org/W1975620936","https://openalex.org/W2005732137","https://openalex.org/W2005887536","https://openalex.org/W2027823200","https://openalex.org/W2029072028","https://openalex.org/W2054711601","https://openalex.org/W2062250587","https://openalex.org/W2069232576","https://openalex.org/W2152326396","https://openalex.org/W2157560340"],"related_works":["https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W2740653611","https://openalex.org/W2762113365","https://openalex.org/W2350788688","https://openalex.org/W2379238906","https://openalex.org/W3180920337","https://openalex.org/W2031390949","https://openalex.org/W2084894190"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
