{"id":"https://openalex.org/W2095476212","doi":"https://doi.org/10.1007/s11075-012-9540-7","title":"Secant-type methods and nondiscrete induction","display_name":"Secant-type methods and nondiscrete induction","publication_year":2012,"publication_date":"2012-01-27","ids":{"openalex":"https://openalex.org/W2095476212","doi":"https://doi.org/10.1007/s11075-012-9540-7","mag":"2095476212"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9540-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9540-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/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":true,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["Department of Mathematics Sciences, Cameron University, Lawton, OK, 73505, USA","Department of Mathematics Sciences, Cameron University, Lawton, USA 73505#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Sciences, Cameron University, Lawton, OK, 73505, USA","institution_ids":["https://openalex.org/I113618177"]},{"raw_affiliation_string":"Department of Mathematics Sciences, Cameron University, Lawton, USA 73505#TAB#","institution_ids":["https://openalex.org/I113618177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113482457","display_name":"Sa\u00efd Hilout","orcid":null},"institutions":[{"id":"https://openalex.org/I4387154170","display_name":"Laboratoire de Math\u00e9matiques et Applications","ror":"https://ror.org/02p2rk609","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4387154170"]},{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sa\u00efd Hilout","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Applications, Poitiers University, Bd. Pierre et Marie Curie, T\u00e9l\u00e9port 2, B.P. 30179, 86962, Futuroscope Chasseneuil Cedex, France","Laboratoire de Math\u00e9matiques et Applications, Poitiers University, Futuroscope Chasseneuil Cedex, France 86962#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications, Poitiers University, Bd. Pierre et Marie Curie, T\u00e9l\u00e9port 2, B.P. 30179, 86962, Futuroscope Chasseneuil Cedex, France","institution_ids":["https://openalex.org/I32881790","https://openalex.org/I4210155549","https://openalex.org/I4387154170"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications, Poitiers University, Futuroscope Chasseneuil Cedex, France 86962#TAB#","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4387154170"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087674067"],"corresponding_institution_ids":["https://openalex.org/I113618177"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16536628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"61","issue":"3","first_page":"397","last_page":"412"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944000244140625,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9887999892234802,"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":0.8568942546844482},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7326716184616089},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7000408172607422},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6590460538864136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5311965346336365},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44912034273147583},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.42412522435188293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.334402859210968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2399902641773224},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12839040160179138}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8568942546844482},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7326716184616089},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7000408172607422},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6590460538864136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5311965346336365},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44912034273147583},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.42412522435188293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.334402859210968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2399902641773224},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12839040160179138},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":1,"locations":[{"id":"doi:10.1007/s11075-012-9540-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9540-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W36911785","https://openalex.org/W67237221","https://openalex.org/W232674853","https://openalex.org/W639834748","https://openalex.org/W1550563201","https://openalex.org/W1555232731","https://openalex.org/W1592141884","https://openalex.org/W1972034149","https://openalex.org/W1973842873","https://openalex.org/W1986460536","https://openalex.org/W1997585049","https://openalex.org/W2005732137","https://openalex.org/W2008384830","https://openalex.org/W2008512731","https://openalex.org/W2022034444","https://openalex.org/W2022703159","https://openalex.org/W2031026647","https://openalex.org/W2033118611","https://openalex.org/W2037774840","https://openalex.org/W2043775053","https://openalex.org/W2048632019","https://openalex.org/W2067266509","https://openalex.org/W2069734325","https://openalex.org/W2076445343","https://openalex.org/W2081979063","https://openalex.org/W2090963365","https://openalex.org/W2091490399","https://openalex.org/W2314981175","https://openalex.org/W2479571287","https://openalex.org/W3038830718","https://openalex.org/W3150586458","https://openalex.org/W4253532698","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W3025073085","https://openalex.org/W2361319716","https://openalex.org/W4210515050","https://openalex.org/W3006735673","https://openalex.org/W2368579900","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2028790718","https://openalex.org/W1635150914","https://openalex.org/W2083644882"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
