{"id":"https://openalex.org/W2008808290","doi":"https://doi.org/10.1007/s11075-013-9699-6","title":"On improved three-step schemes with high efficiency index and their dynamics","display_name":"On improved three-step schemes with high efficiency index and their dynamics","publication_year":2013,"publication_date":"2013-03-01","ids":{"openalex":"https://openalex.org/W2008808290","doi":"https://doi.org/10.1007/s11075-013-9699-6","mag":"2008808290"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9699-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-013-9699-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-013-9699-6.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-013-9699-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050596646","display_name":"D.K.R. Babajee","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100087","display_name":"Mauritius Research Council","ror":"https://ror.org/012ak5d18","country_code":"MU","type":"facility","lineage":["https://openalex.org/I4210100087"]},{"id":"https://openalex.org/I4210118643","display_name":"Mauritius Institute of Education","ror":"https://ror.org/02fgfjw51","country_code":"MU","type":"education","lineage":["https://openalex.org/I4210118643"]}],"countries":["MU"],"is_corresponding":true,"raw_author_name":"Diyashvir K. R. Babajee","raw_affiliation_strings":["IEEE Subsection, Mauritius, Mauritius","Scientific & Academic Research Council, African Network for Policy Research & Advocacy for Sustainability, Mauritius, Mauritius"],"affiliations":[{"raw_affiliation_string":"IEEE Subsection, Mauritius, Mauritius","institution_ids":["https://openalex.org/I4210118643"]},{"raw_affiliation_string":"Scientific & Academic Research Council, African Network for Policy Research & Advocacy for Sustainability, Mauritius, Mauritius","institution_ids":["https://openalex.org/I4210100087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085887256","display_name":"Alicia Cordero","orcid":"https://orcid.org/0000-0002-7462-9173"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alicia Cordero","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042799498","display_name":"Fazlollah Soleymani","orcid":"https://orcid.org/0000-0002-6905-8951"},"institutions":[{"id":"https://openalex.org/I4210103813","display_name":"Islamic Azad University, Zahedan Branch","ror":"https://ror.org/01am3pw68","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210103813"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fazlollah Soleymani","raw_affiliation_strings":["Department of Mathematics, Islamic Azad University, Zahedan Branch, PO Box 987-98138, Zahedan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamic Azad University, Zahedan Branch, PO Box 987-98138, Zahedan, Iran","institution_ids":["https://openalex.org/I4210103813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049721976","display_name":"Juan R. Torregrosa","orcid":"https://orcid.org/0000-0002-9893-0761"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan R. Torregrosa","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050596646"],"corresponding_institution_ids":["https://openalex.org/I4210100087","https://openalex.org/I4210118643"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.4871,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.98035642,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"1","first_page":"153","last_page":"169"},"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":0.9968000054359436,"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":0.9937999844551086,"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/theory-of-computation","display_name":"Theory of computation","score":0.8177096843719482},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7916721701622009},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.781295895576477},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6544130444526672},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5680683255195618},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.562949538230896},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5257464647293091},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48437294363975525},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.47929897904396057},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3848613500595093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2537192702293396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2123328149318695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20038831233978271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18771815299987793},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06262469291687012}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8177096843719482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7916721701622009},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.781295895576477},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6544130444526672},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5680683255195618},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.562949538230896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5257464647293091},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48437294363975525},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.47929897904396057},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3848613500595093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2537192702293396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2123328149318695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20038831233978271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18771815299987793},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06262469291687012},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-013-9699-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-013-9699-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-013-9699-6.pdf","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"},{"id":"pmh:oai:riunet.upv.es:10251/56199","is_oa":true,"landing_page_url":"http://hdl.handle.net/10251/56199","pdf_url":null,"source":{"id":"https://openalex.org/S4306401500","display_name":"RiuNet (Politechnical University of Valencia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60053951","host_organization_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","host_organization_lineage":["https://openalex.org/I60053951"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11075-013-9699-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-013-9699-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-013-9699-6.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2798730836","display_name":null,"funder_award_id":"MTM2011-28636-C02-02","funder_id":"https://openalex.org/F4320323737","funder_display_name":"Ministerio de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320323737","display_name":"Ministerio de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334044","display_name":"Fondo Nacional de Innovaci\u00f3n y Desarrollo Cient\u00edfico\u2013Tecnol\u00f3gico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2008808290.pdf","grobid_xml":"https://content.openalex.org/works/W2008808290.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1499223973","https://openalex.org/W1589403579","https://openalex.org/W1972417972","https://openalex.org/W1985699137","https://openalex.org/W1987290518","https://openalex.org/W1988627280","https://openalex.org/W2001934194","https://openalex.org/W2023736708","https://openalex.org/W2025159184","https://openalex.org/W2032105013","https://openalex.org/W2044010607","https://openalex.org/W2044149156","https://openalex.org/W2044645814","https://openalex.org/W2047475327","https://openalex.org/W2048632019","https://openalex.org/W2073772813","https://openalex.org/W2077134541","https://openalex.org/W2082589006","https://openalex.org/W2091611891","https://openalex.org/W2094884079","https://openalex.org/W2136410100","https://openalex.org/W2154639108","https://openalex.org/W2163234660","https://openalex.org/W2165754740"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2028790718","https://openalex.org/W1635150914"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}