{"id":"https://openalex.org/W1950693819","doi":"https://doi.org/10.1007/s10589-016-9837-x","title":"On the global convergence of the inexact semi-smooth Newton method for absolute value equation","display_name":"On the global convergence of the inexact semi-smooth Newton method for absolute value equation","publication_year":2016,"publication_date":"2016-03-02","ids":{"openalex":"https://openalex.org/W1950693819","doi":"https://doi.org/10.1007/s10589-016-9837-x","mag":"1950693819"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-016-9837-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9837-x","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/A5015159689","display_name":"Yunier Bello-Cruz","orcid":"https://orcid.org/0000-0002-7877-5688"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. Y. Bello Cruz","raw_affiliation_strings":["IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026963153","display_name":"O. P. Ferreira","orcid":"https://orcid.org/0000-0002-5758-0320"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. P. Ferreira","raw_affiliation_strings":["IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064624706","display_name":"L. F. Prudente","orcid":"https://orcid.org/0000-0003-1098-4317"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. F. Prudente","raw_affiliation_strings":["IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#"],"affiliations":[{"raw_affiliation_string":"IME/UFG, Avenida Esperan\u00e7a, s/n Campus Samambaia, Goi\u00e2nia, GO, 74690-900, Brazil","institution_ids":[]},{"raw_affiliation_string":"IME/UFG, Goi\u00e2nia, Brazil 74690-900#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015159689"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.9084,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.96927094,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"1","first_page":"93","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9994000196456909,"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":0.9961000084877014,"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":0.848625659942627},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7779290676116943},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6260018348693848},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5699552893638611},{"id":"https://openalex.org/keywords/absolute","display_name":"Absolute (philosophy)","score":0.5265087485313416},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.49205273389816284},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4413941204547882},{"id":"https://openalex.org/keywords/absolute-convergence","display_name":"Absolute convergence","score":0.41945913434028625},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4159776568412781},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35267800092697144},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34921300411224365},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.26064759492874146},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.24704620242118835},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05290955305099487}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.848625659942627},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7779290676116943},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6260018348693848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5699552893638611},{"id":"https://openalex.org/C2777487392","wikidata":"https://www.wikidata.org/wiki/Q481201","display_name":"Absolute (philosophy)","level":2,"score":0.5265087485313416},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.49205273389816284},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4413941204547882},{"id":"https://openalex.org/C84122041","wikidata":"https://www.wikidata.org/wiki/Q332465","display_name":"Absolute convergence","level":3,"score":0.41945913434028625},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4159776568412781},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35267800092697144},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34921300411224365},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26064759492874146},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.24704620242118835},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05290955305099487},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-016-9837-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9837-x","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:65:y:2016:i:1:d:10.1007_s10589-016-9837-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-016-9837-x","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","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2271236411","display_name":null,"funder_award_id":"4471815/2012-8, 305158/2014-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2634233158","display_name":null,"funder_award_id":"303492/2013-9, 474160/2013-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1520511539","https://openalex.org/W1551360398","https://openalex.org/W1973411603","https://openalex.org/W1992688650","https://openalex.org/W2006402206","https://openalex.org/W2013760236","https://openalex.org/W2023548950","https://openalex.org/W2032990526","https://openalex.org/W2041204694","https://openalex.org/W2046904496","https://openalex.org/W2053227127","https://openalex.org/W2063115667","https://openalex.org/W2079646975","https://openalex.org/W2091151663","https://openalex.org/W2097897435","https://openalex.org/W2107501462","https://openalex.org/W2121918798","https://openalex.org/W2128087213","https://openalex.org/W2134508021","https://openalex.org/W2149454052","https://openalex.org/W2610857016","https://openalex.org/W4248241950"],"related_works":["https://openalex.org/W2082812946","https://openalex.org/W2808820944","https://openalex.org/W2387047214","https://openalex.org/W2044725063","https://openalex.org/W4310291161","https://openalex.org/W2907692489","https://openalex.org/W4225141671","https://openalex.org/W3151926926","https://openalex.org/W2346366147","https://openalex.org/W2358373416"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}