{"id":"https://openalex.org/W2104739244","doi":"https://doi.org/10.1007/s10589-014-9704-6","title":"Improved local convergence analysis of the Gauss\u2013Newton method under a majorant condition","display_name":"Improved local convergence analysis of the Gauss\u2013Newton method under a majorant condition","publication_year":2014,"publication_date":"2014-10-06","ids":{"openalex":"https://openalex.org/W2104739244","doi":"https://doi.org/10.1007/s10589-014-9704-6","mag":"2104739244"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-014-9704-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9704-6","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/A5087674067","display_name":"Ioannis K. Argyros","orcid":"https://orcid.org/0000-0002-9189-9298"},"institutions":[{"id":"https://openalex.org/I113618177","display_name":"Cameron University","ror":"https://ror.org/00rgv0036","country_code":"US","type":"education","lineage":["https://openalex.org/I113618177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA","Department of Mathematical Sciences, Cameron University, Lawton, USA 73505#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA","institution_ids":["https://openalex.org/I113618177"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Cameron University, Lawton, USA 73505#TAB#","institution_ids":["https://openalex.org/I113618177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067260006","display_name":"\u00c1. Alberto Magre\u00f1\u00e1n","orcid":"https://orcid.org/0000-0002-6991-5706"},"institutions":[{"id":"https://openalex.org/I4210116615","display_name":"Universidad Internacional De La Rioja","ror":"https://ror.org/029gnnp81","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210116615"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1. Alberto Magre\u00f1\u00e1n","raw_affiliation_strings":["Departamento de TFG/TFM, Universidad Internacional de La Rioja (UNIR), 26002, Logro\u00f1o, La Rioja, Spain","Departamento de TFG/TFM, Universidad Internacional de La Rioja (UNIR), Logro\u00f1o, Spain 26002#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de TFG/TFM, Universidad Internacional de La Rioja (UNIR), 26002, Logro\u00f1o, La Rioja, Spain","institution_ids":["https://openalex.org/I4210116615"]},{"raw_affiliation_string":"Departamento de TFG/TFM, Universidad Internacional de La Rioja (UNIR), Logro\u00f1o, Spain 26002#TAB#","institution_ids":["https://openalex.org/I4210116615"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.17890772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"60","issue":"2","first_page":"423","last_page":"439"},"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":0.9962000250816345,"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":0.9958000183105469,"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":0.8288248777389526},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6120238900184631},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.5876348614692688},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.578075110912323},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5351579785346985},{"id":"https://openalex.org/keywords/radius-of-convergence","display_name":"Radius of convergence","score":0.5077248811721802},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.42372068762779236},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37634462118148804},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3444126546382904},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3423001170158386},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3039095401763916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06853017210960388}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8288248777389526},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6120238900184631},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.5876348614692688},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.578075110912323},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5351579785346985},{"id":"https://openalex.org/C155568369","wikidata":"https://www.wikidata.org/wiki/Q1428097","display_name":"Radius of convergence","level":3,"score":0.5077248811721802},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.42372068762779236},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37634462118148804},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3444126546382904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3423001170158386},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3039095401763916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06853017210960388},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-014-9704-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9704-6","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:RePEc:spr:coopap:v:60:y:2015:i:2:p:423-439","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-014-9704-6","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:reunir.unir.net:123456789/5651","is_oa":false,"landing_page_url":"https://reunir.unir.net/handle/123456789/5651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400329","display_name":"Re-Unir (International University of La Rioja)","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":"Articulo Revista Indexada"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W232674853","https://openalex.org/W1525424936","https://openalex.org/W1571614612","https://openalex.org/W1644730196","https://openalex.org/W1786620475","https://openalex.org/W1968701102","https://openalex.org/W1968908233","https://openalex.org/W1985582035","https://openalex.org/W1989081312","https://openalex.org/W2028588309","https://openalex.org/W2034829072","https://openalex.org/W2055856324","https://openalex.org/W2060223264","https://openalex.org/W2062748967","https://openalex.org/W2067266509","https://openalex.org/W2068484625","https://openalex.org/W2082311467","https://openalex.org/W2082322703","https://openalex.org/W2093743237","https://openalex.org/W2094760120","https://openalex.org/W2154787631","https://openalex.org/W2157684112","https://openalex.org/W2343404102","https://openalex.org/W2494491604","https://openalex.org/W3038830718"],"related_works":["https://openalex.org/W2370310922","https://openalex.org/W2386975637","https://openalex.org/W2891436901","https://openalex.org/W2087355708","https://openalex.org/W2388837937","https://openalex.org/W2385339070","https://openalex.org/W2390434941","https://openalex.org/W2527460344","https://openalex.org/W3143080231","https://openalex.org/W2029462152"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}