{"id":"https://openalex.org/W3083297350","doi":"https://doi.org/10.1007/s11075-020-00997-4","title":"New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis","display_name":"New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis","publication_year":2020,"publication_date":"2020-09-03","ids":{"openalex":"https://openalex.org/W3083297350","doi":"https://doi.org/10.1007/s11075-020-00997-4","mag":"3083297350"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-00997-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-020-00997-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-020-00997-4.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/s11075-020-00997-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035364580","display_name":"Munish Kansal","orcid":"https://orcid.org/0000-0002-7502-6091"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Munish Kansal","raw_affiliation_strings":["School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India","institution_ids":["https://openalex.org/I162030827"]}]},{"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 Universitario de Matem\u00e1tica Multidisciplinar, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022, Val\u00e8ncia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022, Val\u00e8ncia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015058549","display_name":"Sonia Bhalla","orcid":null},"institutions":[{"id":"https://openalex.org/I101407740","display_name":"Chandigarh University","ror":"https://ror.org/05t4pvx35","country_code":"IN","type":"education","lineage":["https://openalex.org/I101407740"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sonia Bhalla","raw_affiliation_strings":["Department of Mathematics, Chandigarh University, Mohali, 140413, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chandigarh University, Mohali, 140413, India","institution_ids":["https://openalex.org/I101407740"]}]},{"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":true,"raw_author_name":"Juan R. Torregrosa","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022, Val\u00e8ncia, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9893-0761","affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022, Val\u00e8ncia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049721976"],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.8648,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.94132536,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"87","issue":"3","first_page":"1017","last_page":"1060"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7439435720443726},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7200354337692261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7193455100059509},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6243035793304443},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.612017810344696},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5329046845436096},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5219923257827759},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5167876482009888},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5159938335418701},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.507731556892395},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.4521907567977905},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4020933508872986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2657299041748047},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2645813822746277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12785184383392334}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7439435720443726},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7200354337692261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7193455100059509},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6243035793304443},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.612017810344696},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5329046845436096},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5219923257827759},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5167876482009888},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5159938335418701},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.507731556892395},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.4521907567977905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4020933508872986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2657299041748047},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2645813822746277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12785184383392334},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-020-00997-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-020-00997-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-020-00997-4.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:10251/181767","is_oa":true,"landing_page_url":"http://hdl.handle.net/10251/181767","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/s11075-020-00997-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-020-00997-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-020-00997-4.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/G1855301596","display_name":null,"funder_award_id":"PGC2018-095896-B-C22","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5404829777","display_name":null,"funder_award_id":"PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE)","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8063416118","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3083297350.pdf","grobid_xml":"https://content.openalex.org/works/W3083297350.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W658864355","https://openalex.org/W1515753283","https://openalex.org/W1721177227","https://openalex.org/W1970487019","https://openalex.org/W1980208132","https://openalex.org/W1982246852","https://openalex.org/W1985316845","https://openalex.org/W1991625658","https://openalex.org/W1998140106","https://openalex.org/W2002635727","https://openalex.org/W2008674333","https://openalex.org/W2011023522","https://openalex.org/W2025487819","https://openalex.org/W2027823200","https://openalex.org/W2031937054","https://openalex.org/W2034154257","https://openalex.org/W2038079975","https://openalex.org/W2043570811","https://openalex.org/W2047475327","https://openalex.org/W2058172342","https://openalex.org/W2068720794","https://openalex.org/W2073765564","https://openalex.org/W2082938873","https://openalex.org/W2086281390","https://openalex.org/W2091326168","https://openalex.org/W2098974078","https://openalex.org/W2107546605","https://openalex.org/W2149454052","https://openalex.org/W2156565866","https://openalex.org/W2213038796","https://openalex.org/W2293874761","https://openalex.org/W2318609557","https://openalex.org/W2478091498","https://openalex.org/W2529003330","https://openalex.org/W2803622222","https://openalex.org/W2904893042","https://openalex.org/W4233832035"],"related_works":["https://openalex.org/W2378562963","https://openalex.org/W2350788688","https://openalex.org/W2028790718","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2353579944","https://openalex.org/W2089967807","https://openalex.org/W1635150914","https://openalex.org/W2031390949","https://openalex.org/W2078306205"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
