{"id":"https:\/\/openalex.org\/W2195661191","doi":"https:\/\/doi.org\/10.1016\/j.aml.2015.12.003","title":"On a result by Dennis and Schnabel for Newton\u2019s method: Further improvements","display_name":"On a result by Dennis and Schnabel for Newton\u2019s method: Further improvements","publication_year":2015,"publication_date":"2015-12-12","ids":{"openalex":"https:\/\/openalex.org\/W2195661191","doi":"https:\/\/doi.org\/10.1016\/j.aml.2015.12.003","mag":"2195661191"},"language":"en","primary_location":{"id":"doi:10.1016\/j.aml.2015.12.003","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.1016\/j.aml.2015.12.003","pdf_url":"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965915003444\/pdf","source":{"id":"https:\/\/openalex.org\/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https:\/\/openalex.org\/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965915003444\/pdf","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":["Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA","institution_ids":["https:\/\/openalex.org\/I113618177"]}]},{"author_position":"last","author":{"id":"https:\/\/openalex.org\/A5086323665","display_name":"Santhosh George","orcid":"https:\/\/orcid.org\/0000-0002-3530-5539"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Santhosh George","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, NIT Karnataka, 575 025, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, NIT Karnataka, 575 025, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https:\/\/openalex.org\/A5086323665"],"corresponding_institution_ids":[],"apc_list":{"value":3800,"currency":"USD","value_usd":3800},"apc_paid":null,"fwci":0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10302074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"55","issue":null,"first_page":"49","last_page":"53"},"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,"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,"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":0.9979000091552734,"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\/T11697","display_name":"Numerical Methods and Algorithms","score":0.9968000054359436,"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":0.8352230787277222},{"id":"https:\/\/openalex.org\/keywords\/iterated-function","display_name":"Iterated function","score":0.8015002608299255},{"id":"https:\/\/openalex.org\/keywords\/convergence","display_name":"Convergence (economics)","score":0.7008180618286133},{"id":"https:\/\/openalex.org\/keywords\/newtons-method","display_name":"Newton's method","score":0.5279772877693176},{"id":"https:\/\/openalex.org\/keywords\/domain","display_name":"Domain (mathematical analysis)","score":0.5084928274154663},{"id":"https:\/\/openalex.org\/keywords\/applied-mathematics","display_name":"Applied mathematics","score":0.4977443516254425},{"id":"https:\/\/openalex.org\/keywords\/mathematical-analysis","display_name":"Mathematical analysis","score":0.39789408445358276},{"id":"https:\/\/openalex.org\/keywords\/nonlinear-system","display_name":"Nonlinear system","score":0.10965102910995483}],"concepts":[{"id":"https:\/\/openalex.org\/C33923547","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q395","display_name":"Mathematics","level":0,"score":0.8352230787277222},{"id":"https:\/\/openalex.org\/C140479938","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q5254619","display_name":"Iterated function","level":2,"score":0.8015002608299255},{"id":"https:\/\/openalex.org\/C2777303404","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7008180618286133},{"id":"https:\/\/openalex.org\/C85189116","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q374195","display_name":"Newton's method","level":3,"score":0.5279772877693176},{"id":"https:\/\/openalex.org\/C36503486","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5084928274154663},{"id":"https:\/\/openalex.org\/C28826006","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q33521","display_name":"Applied mathematics","level":1,"score":0.4977443516254425},{"id":"https:\/\/openalex.org\/C134306372","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39789408445358276},{"id":"https:\/\/openalex.org\/C158622935","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q660848","display_name":"Nonlinear system","level":2,"score":0.10965102910995483},{"id":"https:\/\/openalex.org\/C50522688","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q189833","display_name":"Economic growth","level":1,"score":0},{"id":"https:\/\/openalex.org\/C62520636","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q944","display_name":"Quantum mechanics","level":1,"score":0},{"id":"https:\/\/openalex.org\/C162324750","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q8134","display_name":"Economics","level":0,"score":0},{"id":"https:\/\/openalex.org\/C121332964","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q413","display_name":"Physics","level":0,"score":0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016\/j.aml.2015.12.003","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.1016\/j.aml.2015.12.003","pdf_url":"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965915003444\/pdf","source":{"id":"https:\/\/openalex.org\/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https:\/\/openalex.org\/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016\/j.aml.2015.12.003","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.1016\/j.aml.2015.12.003","pdf_url":"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965915003444\/pdf","source":{"id":"https:\/\/openalex.org\/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https:\/\/openalex.org\/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https:\/\/content.openalex.org\/works\/W2195661191.pdf","grobid_xml":"https:\/\/content.openalex.org\/works\/W2195661191.grobid-xml"},"referenced_works_count":10,"referenced_works":["https:\/\/openalex.org\/W1525424936","https:\/\/openalex.org\/W1555232731","https:\/\/openalex.org\/W1968876338","https:\/\/openalex.org\/W2002120595","https:\/\/openalex.org\/W2017317106","https:\/\/openalex.org\/W2068484625","https:\/\/openalex.org\/W2081647667","https:\/\/openalex.org\/W2090697352","https:\/\/openalex.org\/W2143608864","https:\/\/openalex.org\/W6681543547"],"related_works":["https:\/\/openalex.org\/W3103325625","https:\/\/openalex.org\/W2129553160","https:\/\/openalex.org\/W1910332697","https:\/\/openalex.org\/W2084415399","https:\/\/openalex.org\/W3126147679","https:\/\/openalex.org\/W4232443521","https:\/\/openalex.org\/W3144947927","https:\/\/openalex.org\/W1971157394","https:\/\/openalex.org\/W2603093335","https:\/\/openalex.org\/W213655078"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}