{"id":"https://openalex.org/W1985582035","doi":"https://doi.org/10.1007/s10589-009-9249-2","title":"Local convergence analysis of inexact Newton-like methods under majorant condition","display_name":"Local convergence analysis of inexact Newton-like methods under majorant condition","publication_year":2009,"publication_date":"2009-04-21","ids":{"openalex":"https://openalex.org/W1985582035","doi":"https://doi.org/10.1007/s10589-009-9249-2","mag":"1985582035"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9249-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9249-2","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/A5026963153","display_name":"O. P. Ferreira","orcid":"https://orcid.org/0000-0002-5758-0320"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O. P. Ferreira","raw_affiliation_strings":["IME/UFG, Campus II, Caixa Postal 131, 74001-970, Goi\u00e2nia, GO, Brazil","IME/UFG, Campus II, Goi\u00e2nia, Brazil 74001-970#TAB#"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Campus II, Caixa Postal 131, 74001-970, Goi\u00e2nia, GO, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG, Campus II, Goi\u00e2nia, Brazil 74001-970#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005897658","display_name":"Max L. N. Gon\u00e7alves","orcid":"https://orcid.org/0000-0001-9563-1101"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. L. N. Gon\u00e7alves","raw_affiliation_strings":["IME/UFG, Campus II, Caixa Postal 131, 74001-970, Goi\u00e2nia, GO, Brazil","IME/UFG, Campus II, Goi\u00e2nia, Brazil 74001-970#TAB#"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Campus II, Caixa Postal 131, 74001-970, Goi\u00e2nia, GO, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG, Campus II, Goi\u00e2nia, Brazil 74001-970#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026963153"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.8106,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.9213894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"1","first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976999759674072,"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":0.9761999845504761,"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":0.8656657934188843},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8561561107635498},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6966357231140137},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.6680418252944946},{"id":"https://openalex.org/keywords/radius-of-convergence","display_name":"Radius of convergence","score":0.655301570892334},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5722781419754028},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5708320736885071},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5693424940109253},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5109707117080688},{"id":"https://openalex.org/keywords/fr\u00e9chet-derivative","display_name":"Fr\u00e9chet derivative","score":0.48144930601119995},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4351043999195099},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4212283790111542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38523417711257935},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2934543192386627},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2151142656803131}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8656657934188843},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8561561107635498},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6966357231140137},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.6680418252944946},{"id":"https://openalex.org/C155568369","wikidata":"https://www.wikidata.org/wiki/Q1428097","display_name":"Radius of convergence","level":3,"score":0.655301570892334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5722781419754028},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5708320736885071},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5693424940109253},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5109707117080688},{"id":"https://openalex.org/C118335899","wikidata":"https://www.wikidata.org/wiki/Q1305350","display_name":"Fr\u00e9chet derivative","level":3,"score":0.48144930601119995},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4351043999195099},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4212283790111542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38523417711257935},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2934543192386627},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2151142656803131},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-009-9249-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9249-2","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:CiteSeerX.psu:10.1.1.709.6232","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.709.6232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://orizon.mat.ufg.br/up/328/o/LocInxNew_2011.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:48:y:2011:i:1:p:1-21","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-009-9249-2","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":[{"display_name":"Reduced inequalities","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1550331971","https://openalex.org/W1553702074","https://openalex.org/W1571614612","https://openalex.org/W1601957988","https://openalex.org/W1632601927","https://openalex.org/W1644730196","https://openalex.org/W1786620475","https://openalex.org/W1968701102","https://openalex.org/W1974251642","https://openalex.org/W1984410138","https://openalex.org/W1985501674","https://openalex.org/W1987093539","https://openalex.org/W1989081312","https://openalex.org/W1993642316","https://openalex.org/W1994657896","https://openalex.org/W2009573092","https://openalex.org/W2019363796","https://openalex.org/W2022296788","https://openalex.org/W2022703159","https://openalex.org/W2027198980","https://openalex.org/W2028324955","https://openalex.org/W2066198525","https://openalex.org/W2068484625","https://openalex.org/W2069499139","https://openalex.org/W2081284028","https://openalex.org/W2082311467","https://openalex.org/W2082322703","https://openalex.org/W2088055586","https://openalex.org/W2092736015","https://openalex.org/W2093743237","https://openalex.org/W2094760120","https://openalex.org/W2107501462","https://openalex.org/W2122434654","https://openalex.org/W2150200785","https://openalex.org/W2154787631","https://openalex.org/W4253214256","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W3143080231","https://openalex.org/W151199910","https://openalex.org/W2029462152","https://openalex.org/W4296991225","https://openalex.org/W2999233629","https://openalex.org/W2061392429","https://openalex.org/W1987835331","https://openalex.org/W1994657896","https://openalex.org/W293010962","https://openalex.org/W2128408413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}