{"id":"https://openalex.org/W2030356588","doi":"https://doi.org/10.1007/s11075-012-9618-2","title":"Modifications of Newton\u2019s method for even-grade palindromic polynomials and other twined polynomials","display_name":"Modifications of Newton\u2019s method for even-grade palindromic polynomials and other twined polynomials","publication_year":2012,"publication_date":"2012-07-31","ids":{"openalex":"https://openalex.org/W2030356588","doi":"https://doi.org/10.1007/s11075-012-9618-2","mag":"2030356588"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9618-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9618-2","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/A5085341608","display_name":"Luca Gemignani","orcid":"https://orcid.org/0000-0001-8000-4906"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luca Gemignani","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy","Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064797994","display_name":"Vanni Noferini","orcid":"https://orcid.org/0000-0002-1775-041X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vanni Noferini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy","Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085341608"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8148,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83203294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"61","issue":"2","first_page":"315","last_page":"329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9997000098228455,"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"}},"topics":[{"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":0.9965999722480774,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8380755186080933},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.5609087944030762},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.48993247747421265},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.472461462020874},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.4705396294593811},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.41631779074668884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40382054448127747},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.34291526675224304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33771976828575134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33304592967033386},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14531990885734558}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8380755186080933},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.5609087944030762},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.48993247747421265},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.472461462020874},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.4705396294593811},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.41631779074668884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40382054448127747},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.34291526675224304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33771976828575134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33304592967033386},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14531990885734558}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-012-9618-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9618-2","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"},{"id":"pmh:oai:arpi.unipi.it:11568/237754","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/237754","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W101224644","https://openalex.org/W1481920855","https://openalex.org/W1832583097","https://openalex.org/W1969726946","https://openalex.org/W1988018576","https://openalex.org/W1996276667","https://openalex.org/W2061555898","https://openalex.org/W2107005172","https://openalex.org/W2117870622","https://openalex.org/W2123520000","https://openalex.org/W2144962567","https://openalex.org/W2319640187","https://openalex.org/W2962802737","https://openalex.org/W4255034889"],"related_works":["https://openalex.org/W2072647369","https://openalex.org/W2168893271","https://openalex.org/W2070537393","https://openalex.org/W2012860697","https://openalex.org/W3048283427","https://openalex.org/W2132314122","https://openalex.org/W2504939013","https://openalex.org/W2954649588","https://openalex.org/W2493096353","https://openalex.org/W1570370571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
