{"id":"https://openalex.org/W3004539982","doi":"https://doi.org/10.1007/s10898-020-00885-0","title":"Damped Newton\u2019s method on Riemannian manifolds","display_name":"Damped Newton\u2019s method on Riemannian manifolds","publication_year":2020,"publication_date":"2020-02-06","ids":{"openalex":"https://openalex.org/W3004539982","doi":"https://doi.org/10.1007/s10898-020-00885-0","mag":"3004539982"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-020-00885-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-020-00885-0","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5042701588","display_name":"M\u00e1rcio Ant\u00f4nio de Andrade Bortoloti","orcid":"https://orcid.org/0000-0001-6239-607X"},"institutions":[{"id":"https://openalex.org/I345918524","display_name":"Southwest Bahia State University","ror":"https://ror.org/02rg6ka44","country_code":"BR","type":"education","lineage":["https://openalex.org/I345918524"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcio Ant\u00f4nio de A. Bortoloti","raw_affiliation_strings":["DCET, Universidade Estadual do Sudoeste da Bahia, Vit\u00f3ria da Conquista, BA, 45083-900, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCET, Universidade Estadual do Sudoeste da Bahia, Vit\u00f3ria da Conquista, BA, 45083-900, Brazil","institution_ids":["https://openalex.org/I345918524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077850227","display_name":"Teles A. Fernandes","orcid":"https://orcid.org/0000-0002-1755-8532"},"institutions":[{"id":"https://openalex.org/I345918524","display_name":"Southwest Bahia State University","ror":"https://ror.org/02rg6ka44","country_code":"BR","type":"education","lineage":["https://openalex.org/I345918524"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Teles A. Fernandes","raw_affiliation_strings":["DCET, Universidade Estadual do Sudoeste da Bahia, Vit\u00f3ria da Conquista, BA, 45083-900, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-1755-8532","affiliations":[{"raw_affiliation_string":"DCET, Universidade Estadual do Sudoeste da Bahia, Vit\u00f3ria da Conquista, BA, 45083-900, Brazil","institution_ids":["https://openalex.org/I345918524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026963153","display_name":"O. P. Ferreira","orcid":"https://orcid.org/0000-0002-5758-0320"},"institutions":[{"id":"https://openalex.org/I68106152","display_name":"Universidade Federal de Goi\u00e1s","ror":"https://ror.org/0039d5757","country_code":"BR","type":"education","lineage":["https://openalex.org/I68106152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Orizon P. Ferreira","raw_affiliation_strings":["IME, Universidade Federal de Goi\u00e1s, Goi\u00e2nia, GO, 74001-970, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IME, Universidade Federal de Goi\u00e1s, Goi\u00e2nia, GO, 74001-970, Brazil","institution_ids":["https://openalex.org/I68106152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045321191","display_name":"Jinyun Yuan","orcid":"https://orcid.org/0000-0003-0358-2862"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinyun Yuan","raw_affiliation_strings":["School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China","institution_ids":["https://openalex.org/I2799850029"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077850227"],"corresponding_institution_ids":["https://openalex.org/I345918524"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":3.8308,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93875949,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"77","issue":"3","first_page":"643","last_page":"660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9995999932289124,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9919000267982483,"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":0.9627000093460083,"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":0.8462800979614258},{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.6198870539665222},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.605947732925415},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.596444845199585},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5918400287628174},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.586147665977478},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5449920296669006},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4936283826828003},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.4695133864879608},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44160059094429016},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4212428033351898},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1580546498298645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09715652465820312},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0916714072227478},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05495327711105347}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8462800979614258},{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.6198870539665222},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.605947732925415},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.596444845199585},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5918400287628174},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.586147665977478},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5449920296669006},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4936283826828003},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.4695133864879608},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44160059094429016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4212428033351898},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1580546498298645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09715652465820312},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0916714072227478},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05495327711105347},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-020-00885-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-020-00885-0","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:77:y:2020:i:3:d:10.1007_s10898-020-00885-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-020-00885-0","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":[],"awards":[{"id":"https://openalex.org/G1000133552","display_name":null,"funder_award_id":"408151/2016-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7960843537","display_name":null,"funder_award_id":"305158/2014-7","funder_id":"https://openalex.org/F4320323204","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Goi\u00e1s"}],"funders":[{"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/F4320323204","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Goi\u00e1s","ror":"https://ror.org/00w8cq239"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W67237221","https://openalex.org/W388179047","https://openalex.org/W578918596","https://openalex.org/W1540112946","https://openalex.org/W1601957988","https://openalex.org/W1628278711","https://openalex.org/W1669104078","https://openalex.org/W1786620475","https://openalex.org/W1804110266","https://openalex.org/W1923779967","https://openalex.org/W1980574663","https://openalex.org/W1984617485","https://openalex.org/W1989651752","https://openalex.org/W1990134508","https://openalex.org/W1996889705","https://openalex.org/W2013010587","https://openalex.org/W2026724886","https://openalex.org/W2028324955","https://openalex.org/W2045512849","https://openalex.org/W2066214692","https://openalex.org/W2068484625","https://openalex.org/W2068625163","https://openalex.org/W2075790524","https://openalex.org/W2078248112","https://openalex.org/W2078942172","https://openalex.org/W2079354271","https://openalex.org/W2087136707","https://openalex.org/W2090963365","https://openalex.org/W2110662303","https://openalex.org/W2118806049","https://openalex.org/W2120142394","https://openalex.org/W2142041462","https://openalex.org/W2152422059","https://openalex.org/W2167623372","https://openalex.org/W2177964621","https://openalex.org/W2266965707","https://openalex.org/W2398068802","https://openalex.org/W2465585463","https://openalex.org/W2556039008","https://openalex.org/W2587057446","https://openalex.org/W2620258316","https://openalex.org/W3038420293","https://openalex.org/W3103454330","https://openalex.org/W3105160656","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4235476591"],"related_works":["https://openalex.org/W2016852760","https://openalex.org/W1972403393","https://openalex.org/W2960088919","https://openalex.org/W4221162014","https://openalex.org/W4303578487","https://openalex.org/W2365681980","https://openalex.org/W2964248513","https://openalex.org/W2963003090","https://openalex.org/W4285316332","https://openalex.org/W2562964647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
