{"id":"https://openalex.org/W7185409","doi":"https://doi.org/10.1007/bf02239012","title":"Optimal absolute error starting values for Newton-Raphson calculation of square root","display_name":"Optimal absolute error starting values for Newton-Raphson calculation of square root","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W7185409","doi":"https://doi.org/10.1007/bf02239012","mag":"7185409"},"language":"en","primary_location":{"id":"doi:10.1007/bf02239012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02239012","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5083219829","display_name":"Paolo Montuschi","orcid":"https://orcid.org/0000-0003-2563-2250"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"P. Montuschi","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy","Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino,Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino,Italy#TAB#","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062524455","display_name":"Marco Mezzalama","orcid":null},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Mezzalama","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy","Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino,Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino,Italy#TAB#","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083219829"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5131,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.57032633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"46","issue":"1","first_page":"67","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9955000281333923,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/approximation-error","display_name":"Approximation error","score":0.7149682641029358},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.6960955262184143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6207740306854248},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5827224850654602},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5641153454780579},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5141473412513733},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4443097710609436},{"id":"https://openalex.org/keywords/mean-absolute-error","display_name":"Mean absolute error","score":0.4251460134983063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36148935556411743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35096579790115356},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23652604222297668},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23127716779708862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10807180404663086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05610913038253784}],"concepts":[{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.7149682641029358},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.6960955262184143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6207740306854248},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5827224850654602},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5641153454780579},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5141473412513733},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4443097710609436},{"id":"https://openalex.org/C188154048","wikidata":"https://www.wikidata.org/wiki/Q6803609","display_name":"Mean absolute error","level":3,"score":0.4251460134983063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36148935556411743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35096579790115356},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23652604222297668},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23127716779708862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10807180404663086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05610913038253784},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02239012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02239012","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:porto.polito.it:1402792","is_oa":false,"landing_page_url":"http://porto.polito.it/1402792/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0010-485X","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":22,"referenced_works":["https://openalex.org/W1995015114","https://openalex.org/W1997348838","https://openalex.org/W2000316213","https://openalex.org/W2020187420","https://openalex.org/W2027274540","https://openalex.org/W2029003631","https://openalex.org/W2029932273","https://openalex.org/W2031653365","https://openalex.org/W2032336035","https://openalex.org/W2034827470","https://openalex.org/W2046701387","https://openalex.org/W2051589096","https://openalex.org/W2068484625","https://openalex.org/W2068574120","https://openalex.org/W2074838321","https://openalex.org/W2075733205","https://openalex.org/W2082791224","https://openalex.org/W2115452265","https://openalex.org/W2129357801","https://openalex.org/W2143419013","https://openalex.org/W2613286145","https://openalex.org/W6601630192"],"related_works":["https://openalex.org/W2384131399","https://openalex.org/W2789155380","https://openalex.org/W2146659278","https://openalex.org/W4293508727","https://openalex.org/W2087911819","https://openalex.org/W2264263601","https://openalex.org/W3105559563","https://openalex.org/W2136152605","https://openalex.org/W3149853164","https://openalex.org/W2971924187"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
