{"id":"https://openalex.org/W2470868123","doi":"https://doi.org/10.1007/s11075-016-0163-2","title":"An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications","display_name":"An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications","publication_year":2016,"publication_date":"2016-06-26","ids":{"openalex":"https://openalex.org/W2470868123","doi":"https://doi.org/10.1007/s11075-016-0163-2","mag":"2470868123"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-016-0163-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-016-0163-2","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/A5030557024","display_name":"Kalyanasundaram Madhu","orcid":"https://orcid.org/0000-0002-9328-2996"},"institutions":[{"id":"https://openalex.org/I175691731","display_name":"Pondicherry University","ror":"https://ror.org/01a3mef16","country_code":"IN","type":"education","lineage":["https://openalex.org/I175691731"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kalyanasundaram Madhu","raw_affiliation_strings":["Department of Mathematics, Pondicherry Engineering College, Pondicherry, 605014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pondicherry Engineering College, Pondicherry, 605014, India","institution_ids":["https://openalex.org/I175691731"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050596646","display_name":"D.K.R. Babajee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. K. R. Babajee","raw_affiliation_strings":["Independent Scholar, 65, Captain Pontre Street, Sainte Croix, Port Louis, 11708, Mauritius"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Scholar, 65, Captain Pontre Street, Sainte Croix, Port Louis, 11708, Mauritius","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029787545","display_name":"Jayakumar Jayaraman","orcid":"https://orcid.org/0000-0001-8814-3249"},"institutions":[{"id":"https://openalex.org/I175691731","display_name":"Pondicherry University","ror":"https://ror.org/01a3mef16","country_code":"IN","type":"education","lineage":["https://openalex.org/I175691731"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jayakumar Jayaraman","raw_affiliation_strings":["Department of Mathematics, Pondicherry Engineering College, Pondicherry, 605014, India"],"raw_orcid":"https://orcid.org/0000-0001-8814-3249","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pondicherry Engineering College, Pondicherry, 605014, India","institution_ids":["https://openalex.org/I175691731"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029787545"],"corresponding_institution_ids":["https://openalex.org/I175691731"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.7186,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8306259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"74","issue":"2","first_page":"593","last_page":"607"},"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":0.9948999881744385,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/chandrasekhar-limit","display_name":"Chandrasekhar limit","score":0.7954632639884949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7350594401359558},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6254367232322693},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6004810333251953},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5916877388954163},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5714247226715088},{"id":"https://openalex.org/keywords/two-step","display_name":"Two step","score":0.5621459484100342},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5596839785575867},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47897791862487793},{"id":"https://openalex.org/keywords/step-function","display_name":"Step function","score":0.4435945451259613},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4388883113861084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4019901752471924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3523084223270416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2252366840839386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21354049444198608}],"concepts":[{"id":"https://openalex.org/C67576285","wikidata":"https://www.wikidata.org/wiki/Q51366","display_name":"Chandrasekhar limit","level":4,"score":0.7954632639884949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7350594401359558},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6254367232322693},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6004810333251953},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5916877388954163},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5714247226715088},{"id":"https://openalex.org/C3019136120","wikidata":"https://www.wikidata.org/wiki/Q2462428","display_name":"Two step","level":2,"score":0.5621459484100342},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5596839785575867},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47897791862487793},{"id":"https://openalex.org/C98458673","wikidata":"https://www.wikidata.org/wiki/Q917657","display_name":"Step function","level":2,"score":0.4435945451259613},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4388883113861084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4019901752471924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3523084223270416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2252366840839386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21354049444198608},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C197445014","wikidata":"https://www.wikidata.org/wiki/Q5871","display_name":"White dwarf","level":3,"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/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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-016-0163-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-016-0163-2","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W14497298","https://openalex.org/W1721177227","https://openalex.org/W1966502208","https://openalex.org/W1973334043","https://openalex.org/W1973854024","https://openalex.org/W1976363119","https://openalex.org/W2011023522","https://openalex.org/W2038481357","https://openalex.org/W2040119000","https://openalex.org/W2048632019","https://openalex.org/W2073765564","https://openalex.org/W2090963365","https://openalex.org/W2128390422","https://openalex.org/W2129426017","https://openalex.org/W3135227555","https://openalex.org/W3149450593","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W3166995832","https://openalex.org/W4297776626","https://openalex.org/W1533190854","https://openalex.org/W2015773362","https://openalex.org/W3098908243","https://openalex.org/W3171769645","https://openalex.org/W2117087398","https://openalex.org/W4385562116","https://openalex.org/W2364528919","https://openalex.org/W2387897845"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}