{"id":"https://openalex.org/W2088581617","doi":"https://doi.org/10.1080/00207160903365875","title":"Second-derivative free methods of third and fourth order for solving nonlinear equations","display_name":"Second-derivative free methods of third and fourth order for solving nonlinear equations","publication_year":2010,"publication_date":"2010-11-06","ids":{"openalex":"https://openalex.org/W2088581617","doi":"https://doi.org/10.1080/00207160903365875","mag":"2088581617"},"language":"en","primary_location":{"id":"doi:10.1080/00207160903365875","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903365875","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/A5029076054","display_name":"Janak Raj Sharma","orcid":"https://orcid.org/0000-0002-4627-2795"},"institutions":[{"id":"https://openalex.org/I63568130","display_name":"Sant Longowal Institute of Engineering and Technology","ror":"https://ror.org/01n15vy71","country_code":"IN","type":"education","lineage":["https://openalex.org/I63568130"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"J. R. Sharma","raw_affiliation_strings":["\n Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Sangrur, India","Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, India#TAB#"],"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Sangrur, India","institution_ids":["https://openalex.org/I63568130"]},{"raw_affiliation_string":"Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, India#TAB#","institution_ids":["https://openalex.org/I63568130"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026501326","display_name":"R.K. Guha","orcid":"https://orcid.org/0000-0003-3224-0060"},"institutions":[{"id":"https://openalex.org/I63568130","display_name":"Sant Longowal Institute of Engineering and Technology","ror":"https://ror.org/01n15vy71","country_code":"IN","type":"education","lineage":["https://openalex.org/I63568130"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. K. Guha","raw_affiliation_strings":["\n Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Sangrur, India","Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, India#TAB#"],"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Sangrur, India","institution_ids":["https://openalex.org/I63568130"]},{"raw_affiliation_string":"Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, India#TAB#","institution_ids":["https://openalex.org/I63568130"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029076054"],"corresponding_institution_ids":["https://openalex.org/I63568130"],"apc_list":null,"apc_paid":null,"fwci":1.9658,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85750695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"88","issue":"1","first_page":"163","last_page":"170"},"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":0.9884999990463257,"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":0.9836999773979187,"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":0.7318477630615234},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6759732961654663},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6286752820014954},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.604211688041687},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5489972233772278},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5387301445007324},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5142021179199219},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5013997554779053},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4800485372543335},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4526878595352173},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32752397656440735},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32565227150917053}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7318477630615234},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6759732961654663},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6286752820014954},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.604211688041687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5489972233772278},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5387301445007324},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5142021179199219},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5013997554779053},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4800485372543335},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4526878595352173},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32752397656440735},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32565227150917053},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160903365875","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903365875","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1555232731","https://openalex.org/W1603910097","https://openalex.org/W1998140106","https://openalex.org/W2006869483","https://openalex.org/W2017299431","https://openalex.org/W2030004192","https://openalex.org/W2048632019","https://openalex.org/W2053908661","https://openalex.org/W2054711601","https://openalex.org/W2062748967","https://openalex.org/W2069319879","https://openalex.org/W2073218959","https://openalex.org/W2091741032","https://openalex.org/W2362191434","https://openalex.org/W7019992027"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W2115091349"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"here":[3],"a":[4],"one-parameter":[5],"family":[6,19],"of":[7,17,39,45,84,105],"iterative":[8],"methods":[9,16,35,68],"for":[10],"solving":[11],"nonlinear":[12,102],"equations.":[13],"All":[14],"the":[15,18,24,28,40,46,50,57,67,87,94],"have":[20],"third-order":[21,58],"convergence,":[22],"except":[23],"one":[25,43],"which":[26],"has":[27],"fourth-order":[29,51,88],"convergence.":[30],"Per":[31],"iteration,":[32],"all":[33],"these":[34],"require":[36],"two":[37],"evaluations":[38],"function":[41],"and":[42],"evaluation":[44],"first":[47],"derivative.":[48],"Therefore,":[49],"method":[52,89],"is":[53,80,90],"more":[54],"economic":[55],"than":[56],"methods.":[59,77],"Numerical":[60],"examples":[61],"are":[62,71],"given":[63],"to":[64],"support":[65],"that":[66,86],"thus":[69],"obtained":[70],"competitive":[72],"with":[73],"other":[74],"similar":[75],"robust":[76],"Moreover,":[78],"it":[79],"shown":[81],"by":[82],"way":[83],"illustration":[85],"very":[91],"useful":[92],"in":[93,99],"applications":[95],"requiring":[96],"high":[97],"precision":[98],"computations.":[100],"Keywords:":[101],"equationsNewton's":[103],"methodroot-findingorder":[104],"convergenceefficiency":[106],"C.R.":[107],"Category":[108],":":[109,115],"G1.5":[110],"2000":[111],"AMS":[112],"Subject":[113],"Classifications":[114],"65H0565D99":[116]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}