{"id":"https://openalex.org/W2022516937","doi":"https://doi.org/10.1080/00207160701210075","title":"A family of Newton-type methods for solving nonlinear equations","display_name":"A family of Newton-type methods for solving nonlinear equations","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W2022516937","doi":"https://doi.org/10.1080/00207160701210075","mag":"2022516937"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701210075","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701210075","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5023732680","display_name":"Davod Khojasteh Salkuyeh","orcid":"https://orcid.org/0000-0003-0228-8565"},"institutions":[{"id":"https://openalex.org/I72341708","display_name":"University of Mohaghegh Ardabili","ror":"https://ror.org/045zrcm98","country_code":"IR","type":"education","lineage":["https://openalex.org/I72341708"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Davod Khojasteh Salkuyeh","raw_affiliation_strings":["Department of Mathematics , Mohaghegh Ardabili University , PO Box 56199-11367, Ardabil, Iran","Department of Mathematics, Mohaghegh Ardabili University, Ardabil, Iran#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Mohaghegh Ardabili University , PO Box 56199-11367, Ardabil, Iran","institution_ids":["https://openalex.org/I72341708"]},{"raw_affiliation_string":"Department of Mathematics, Mohaghegh Ardabili University, Ardabil, Iran#TAB#","institution_ids":["https://openalex.org/I72341708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023732680"],"corresponding_institution_ids":["https://openalex.org/I72341708"],"apc_list":null,"apc_paid":null,"fwci":1.0006,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75335249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"84","issue":"3","first_page":"411","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9850000143051147,"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/T12354","display_name":"Innovations in Educational Methods","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8069093227386475},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6890461444854736},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.6884260773658752},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6871888041496277},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5914517641067505},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5897138118743896},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5840941667556763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5568620562553406},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49106788635253906},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44181859493255615},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.42276760935783386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3982265889644623},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3140912353992462}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8069093227386475},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6890461444854736},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.6884260773658752},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6871888041496277},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5914517641067505},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5897138118743896},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5840941667556763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5568620562553406},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49106788635253906},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44181859493255615},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.42276760935783386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3982265889644623},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3140912353992462},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701210075","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701210075","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1966502208","https://openalex.org/W2000007627","https://openalex.org/W2020928912","https://openalex.org/W2030284983","https://openalex.org/W2048632019","https://openalex.org/W2054711601","https://openalex.org/W2105737698"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W2358591430","https://openalex.org/W2026900827","https://openalex.org/W2031390949","https://openalex.org/W3094698614","https://openalex.org/W2103912232","https://openalex.org/W2360024674","https://openalex.org/W1964267519","https://openalex.org/W3140142921","https://openalex.org/W4308670056"],"abstract_inverted_index":{"A":[0],"family":[1,25,37,62,72],"of":[2,20,23,53,65],"Newton-type":[3],"methods":[4,52,76],"free":[5],"from":[6],"second":[7],"and":[8,40],"higher":[9],"order":[10,19,54],"derivatives":[11],"for":[12],"solving":[13],"nonlinear":[14],"equations":[15],"is":[16],"presented.":[17],"The":[18],"the":[21,66],"convergence":[22],"this":[24,34,36,47,61,71],"depends":[26],"on":[27,33,46],"a":[28,31],"function.":[29],"Under":[30],"condition":[32,44],"function":[35,48],"converge":[38],"cubically":[39],"by":[41],"imposing":[42],"one":[43,49],"more":[45],"can":[50],"obtain":[51],"four.":[55],"It":[56],"has":[57],"been":[58],"shown":[59],"that":[60],"covers":[63],"many":[64],"available":[67],"iterative":[68,75],"methods.":[69],"From":[70],"two":[73],"new":[74],"are":[77,81],"obtained.":[78],"Numerical":[79],"experiments":[80],"also":[82],"included.":[83]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}