{"id":"https://openalex.org/W2028208654","doi":"https://doi.org/10.1080/00207160701223102","title":"On a cubically convergent derivative-free root finding method","display_name":"On a cubically convergent derivative-free root finding method","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2028208654","doi":"https://doi.org/10.1080/00207160701223102","mag":"2028208654"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701223102","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701223102","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/A5101857910","display_name":"Miodrag S. Petkovi\u0107","orcid":"https://orcid.org/0000-0002-6799-7912"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Miodrag S. Petkovi\u0107","raw_affiliation_strings":["\n Faculty of Electronic Engineering, University of Ni\u0161, P. O. Box 73, 18000, Ni\u0161, Serbia","Faculty of Electronic Engineering; University of Ni\u0161; Ni\u0161 Serbia"],"affiliations":[{"raw_affiliation_string":"\n Faculty of Electronic Engineering, University of Ni\u0161, P. O. Box 73, 18000, Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Electronic Engineering; University of Ni\u0161; Ni\u0161 Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108201933","display_name":"Ljiljana D. Petkovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Ljiljana D. Petkovi\u0107","raw_affiliation_strings":["\n Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Serbia","Faculty of Mechanical Engineering , University of Nis , Nis , Serbia"],"affiliations":[{"raw_affiliation_string":"\n Faculty of Mechanical Engineering, University of Ni\u0161, 18000, Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering , University of Nis , Nis , Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101857910"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":null,"apc_paid":null,"fwci":0.5003,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65636973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"84","issue":"4","first_page":"505","last_page":"513"},"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":0.9822999835014343,"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":0.9782999753952026,"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":0.7464401721954346},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6022758483886719},{"id":"https://openalex.org/keywords/root-finding-algorithm","display_name":"Root-finding algorithm","score":0.5702939033508301},{"id":"https://openalex.org/keywords/serbian","display_name":"Serbian","score":0.5590112209320068},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5489956140518188},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5329697132110596},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5089054107666016},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.46382394433021545},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.42720043659210205},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42714840173721313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34694480895996094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3457869291305542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1768096685409546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7464401721954346},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6022758483886719},{"id":"https://openalex.org/C194777461","wikidata":"https://www.wikidata.org/wiki/Q1085860","display_name":"Root-finding algorithm","level":3,"score":0.5702939033508301},{"id":"https://openalex.org/C2778408831","wikidata":"https://www.wikidata.org/wiki/Q9299","display_name":"Serbian","level":2,"score":0.5590112209320068},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5489956140518188},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5329697132110596},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5089054107666016},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.46382394433021545},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.42720043659210205},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42714840173721313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34694480895996094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3457869291305542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1768096685409546},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701223102","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701223102","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":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W600052223","https://openalex.org/W633035909","https://openalex.org/W1530287661","https://openalex.org/W1622663103","https://openalex.org/W1965368169","https://openalex.org/W1976487400","https://openalex.org/W1989977202","https://openalex.org/W2015867405","https://openalex.org/W2024830592","https://openalex.org/W2025026078","https://openalex.org/W2025984567","https://openalex.org/W2031629670","https://openalex.org/W2042901342","https://openalex.org/W2043556891","https://openalex.org/W2046133214","https://openalex.org/W2048632019","https://openalex.org/W2057063935","https://openalex.org/W2057165004","https://openalex.org/W2068776263","https://openalex.org/W2090960299","https://openalex.org/W2095210218","https://openalex.org/W2144493917","https://openalex.org/W2173902554","https://openalex.org/W4205364252","https://openalex.org/W4242314457"],"related_works":["https://openalex.org/W1563175402","https://openalex.org/W3169616122","https://openalex.org/W4287325063","https://openalex.org/W3198881649","https://openalex.org/W1988566873","https://openalex.org/W2069686407","https://openalex.org/W3215882190","https://openalex.org/W2377857862","https://openalex.org/W2041939310","https://openalex.org/W2011848867"],"abstract_inverted_index":{"Abstract":[0],"Using":[1,35],"a":[2,10],"method":[3,13,27,41],"for":[4,16],"accelerating":[5],"convergence":[6],"and":[7,46,65],"Weierstrass\u2019":[8],"correction,":[9],"cubically":[11],"convergent":[12],"without":[14],"derivatives":[15],"the":[17,30,36,39,62,68,75],"simultaneous":[18],"determination":[19],"of":[20,32,67,78],"polynomial":[21],"zeros":[22],"is":[23,42],"derived.":[24],"The":[25,58],"proposed":[26],"possesses":[28],"approximately":[29],"structure":[31],"Halley's":[33],"method.":[34],"Gauss\u2013Seidel":[37],"approach,":[38],"single-step":[40],"outlined.":[43],"Convergence":[44],"analysis":[45],"computational":[47],"aspects":[48],"are":[49],"reported.":[50],"Keywords:":[51],"Zero-finding":[52],"methodsSimultaneous":[53],"methodsPolynomial":[54],"zerosConvergence":[55],"rate":[56],"Acknowledgements":[57],"authors":[59],"greatly":[60],"appreciate":[61],"valuable":[63],"comments":[64],"suggestions":[66],"referees.":[69],"This":[70],"work":[71],"was":[72],"supported":[73],"by":[74],"Serbian":[76],"Ministry":[77],"Science":[79],"under":[80],"grant":[81],"144024.":[82]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
