{"id":"https://openalex.org/W3088858683","doi":"https://doi.org/10.1007/s10589-020-00230-x","title":"Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations","display_name":"Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations","publication_year":2020,"publication_date":"2020-09-22","ids":{"openalex":"https://openalex.org/W3088858683","doi":"https://doi.org/10.1007/s10589-020-00230-x","mag":"3088858683"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-020-00230-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-020-00230-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/A5063581189","display_name":"Andreas Fischer","orcid":"https://orcid.org/0000-0001-7703-1655"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Fischer","raw_affiliation_strings":["Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7703-1655","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085617315","display_name":"A. F. Izmailov","orcid":"https://orcid.org/0000-0001-9851-0524"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. F. Izmailov","raw_affiliation_strings":["VMK Faculty, OR Department, Lomonosov Moscow State University, MSU, Uchebniy Korpus 2, Leninskiye Gory, Moscow, Russia, 119991"],"raw_orcid":"https://orcid.org/0000-0001-9851-0524","affiliations":[{"raw_affiliation_string":"VMK Faculty, OR Department, Lomonosov Moscow State University, MSU, Uchebniy Korpus 2, Leninskiye Gory, Moscow, Russia, 119991","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110039123","display_name":"M. V. Solodov","orcid":null},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]},{"id":"https://openalex.org/I4210128604","display_name":"Instituto de Pesquisas Jardim Bot\u00e2nico do Rio de Janeiro","ror":"https://ror.org/033xtdz52","country_code":"BR","type":"archive","lineage":["https://openalex.org/I4210128604"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. V. Solodov","raw_affiliation_strings":["IMPA \u2013 Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ 22460-320, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMPA \u2013 Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ 22460-320, Brazil","institution_ids":["https://openalex.org/I141883831","https://openalex.org/I4210128604"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085617315"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8203,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70107134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"78","issue":"1","first_page":"273","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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":0.9959999918937683,"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":0.8056350350379944},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7159498929977417},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.6803321242332458},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6303207874298096},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6176367402076721},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5827180743217468},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.5826464295387268},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5746265053749084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4946264922618866},{"id":"https://openalex.org/keywords/steffensens-method","display_name":"Steffensen's method","score":0.4742671251296997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4227699339389801},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4207227826118469},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2465294599533081},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.23567771911621094},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.16794359683990479},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.08741316199302673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08002036809921265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061297327280044556}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8056350350379944},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7159498929977417},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6803321242332458},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6303207874298096},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6176367402076721},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5827180743217468},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5826464295387268},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5746265053749084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4946264922618866},{"id":"https://openalex.org/C173443657","wikidata":"https://www.wikidata.org/wiki/Q7606635","display_name":"Steffensen's method","level":5,"score":0.4742671251296997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4227699339389801},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4207227826118469},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2465294599533081},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.23567771911621094},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.16794359683990479},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.08741316199302673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08002036809921265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061297327280044556},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-020-00230-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-020-00230-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:78:y:2021:i:1:d:10.1007_s10589-020-00230-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-020-00230-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":[{"display_name":"Climate action","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G2078120496","display_name":"Beschleunigung von NewtonTypVerfahren bei kritischen L\u00f6sungen","funder_award_id":"409756759","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3119453547","display_name":null,"funder_award_id":"19-51-12003 NNIO_a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G5154552578","display_name":null,"funder_award_id":"20-01-00106","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G8800667085","display_name":null,"funder_award_id":"303913/2019-3","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G911549011","display_name":null,"funder_award_id":"E-26/202.540/2019","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320882","display_name":"Volkswagen Foundation","ror":"https://ror.org/03bsmfz84"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W106246290","https://openalex.org/W388179047","https://openalex.org/W1490084264","https://openalex.org/W1983230696","https://openalex.org/W1983585148","https://openalex.org/W1996701679","https://openalex.org/W2017478419","https://openalex.org/W2033272253","https://openalex.org/W2056603712","https://openalex.org/W2057418187","https://openalex.org/W2079693963","https://openalex.org/W2087070363","https://openalex.org/W2088528580","https://openalex.org/W2094997497","https://openalex.org/W2149454052","https://openalex.org/W2256578114","https://openalex.org/W2471407736","https://openalex.org/W2592547154","https://openalex.org/W2798766386","https://openalex.org/W3016203065","https://openalex.org/W4242766606"],"related_works":["https://openalex.org/W2387535608","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W2625751000","https://openalex.org/W2142167470","https://openalex.org/W2350788688","https://openalex.org/W3143080231","https://openalex.org/W2340363276","https://openalex.org/W4308500253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
