{"id":"https://openalex.org/W2025109687","doi":"https://doi.org/10.1090/s0025-5718-09-02193-0","title":"An improvement of the region of accessibility of Chebyshev\u2019s method from Newton\u2019s method","display_name":"An improvement of the region of accessibility of Chebyshev\u2019s method from Newton\u2019s method","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W2025109687","doi":"https://doi.org/10.1090/s0025-5718-09-02193-0","mag":"2025109687"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02193-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02193-0/S0025-5718-09-02193-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02193-0/S0025-5718-09-02193-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046706885","display_name":"J.A. Ezquerro","orcid":"https://orcid.org/0000-0001-8120-167X"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. A. Ezquerro","raw_affiliation_strings":["University of La Rioja. Department of Mathematics and Computation, C/ Luis de Ulloa s/n. 26004 Logro\u00f1o. Spain"],"affiliations":[{"raw_affiliation_string":"University of La Rioja. Department of Mathematics and Computation, C/ Luis de Ulloa s/n. 26004 Logro\u00f1o. Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033198772","display_name":"M.A. Hern\u00e1ndez","orcid":"https://orcid.org/0000-0001-5478-2958"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. Hern\u00e1ndez","raw_affiliation_strings":["University of La Rioja. Department of Mathematics and Computation, C/ Luis de Ulloa s/n. 26004 Logro\u00f1o. Spain"],"affiliations":[{"raw_affiliation_string":"University of La Rioja. Department of Mathematics and Computation, C/ Luis de Ulloa s/n. 26004 Logro\u00f1o. Spain","institution_ids":["https://openalex.org/I168974976"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.313,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":27,"citation_normalized_percentile":{"value":0.799348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"78","issue":"267","first_page":"1613","last_page":"1627"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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":1.0,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9786,"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/chebyshev-iteration","display_name":"Chebyshev iteration","score":0.65097964},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.4739052}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.808293},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.7840552},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6997672},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.66336656},{"id":"https://openalex.org/C196512905","wikidata":"https://www.wikidata.org/wiki/Q2457511","display_name":"Chebyshev iteration","level":3,"score":0.65097964},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5851752},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47757652},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.4739052},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43485853},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.43248305},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32908088},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.06712407},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.064068794},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05912435},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.047438085},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02193-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02193-0/S0025-5718-09-02193-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02193-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02193-0/S0025-5718-09-02193-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":13,"referenced_works":["https://openalex.org/W1529605592","https://openalex.org/W1553798826","https://openalex.org/W1555232731","https://openalex.org/W1970633800","https://openalex.org/W1971140202","https://openalex.org/W1984215307","https://openalex.org/W20141860","https://openalex.org/W2067520338","https://openalex.org/W2068381736","https://openalex.org/W2795780118","https://openalex.org/W3010782316","https://openalex.org/W3038830718","https://openalex.org/W4205246695"],"related_works":["https://openalex.org/W2179563627","https://openalex.org/W2136992695","https://openalex.org/W2112919228","https://openalex.org/W2106962382","https://openalex.org/W2074316639","https://openalex.org/W2054912819","https://openalex.org/W2039550572","https://openalex.org/W2025308149","https://openalex.org/W2021099221","https://openalex.org/W1974138590"],"abstract_inverted_index":{"A":[0],"simple":[1],"modification":[2],"of":[3,12,19],"Chebyshev's":[4],"method":[5],"is":[6,14],"presented,":[7],"so":[8],"that":[9],"the":[10,17],"region":[11],"accessibility":[13],"extended":[15],"to":[16],"one":[18],"Newton's":[20],"method.":[21]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2025109687","counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":8}],"updated_date":"2024-12-30T04:01:14.575953","created_date":"2016-06-24"}