{"id":"https://openalex.org/W4405927935","doi":"https://doi.org/10.3390/sym17010056","title":"Convergence Order of a Class of Jarratt-like Methods: A New Approach","display_name":"Convergence Order of a Class of Jarratt-like Methods: A New Approach","publication_year":2024,"publication_date":"2024-12-31","ids":{"openalex":"https://openalex.org/W4405927935","doi":"https://doi.org/10.3390/sym17010056"},"language":"en","primary_location":{"id":"doi:10.3390/sym17010056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010056","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17010056","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053733107","display_name":"Ajil Kunnarath","orcid":"https://orcid.org/0000-0003-3619-8971"},"institutions":[{"id":"https://openalex.org/I11880225","display_name":"National Institute of Technology Karnataka","ror":"https://ror.org/01hz4v948","country_code":"IN","type":"education","lineage":["https://openalex.org/I11880225"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ajil Kunnarath","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India"],"raw_orcid":"https://orcid.org/0000-0003-3619-8971","affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India","institution_ids":["https://openalex.org/I11880225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086323665","display_name":"Santhosh George","orcid":"https://orcid.org/0000-0002-3530-5539"},"institutions":[{"id":"https://openalex.org/I11880225","display_name":"National Institute of Technology Karnataka","ror":"https://ror.org/01hz4v948","country_code":"IN","type":"education","lineage":["https://openalex.org/I11880225"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Santhosh George","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India"],"raw_orcid":"https://orcid.org/0000-0002-3530-5539","affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India","institution_ids":["https://openalex.org/I11880225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jidesh Padikkal","orcid":"https://orcid.org/0000-0001-9448-1906"},"institutions":[{"id":"https://openalex.org/I11880225","display_name":"National Institute of Technology Karnataka","ror":"https://ror.org/01hz4v948","country_code":"IN","type":"education","lineage":["https://openalex.org/I11880225"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jidesh Padikkal","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India"],"raw_orcid":"https://orcid.org/0000-0001-9448-1906","affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Karnataka 575025, India","institution_ids":["https://openalex.org/I11880225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087674067","display_name":"Ioannis K. Argyros","orcid":"https://orcid.org/0000-0002-9189-9298"},"institutions":[{"id":"https://openalex.org/I113618177","display_name":"Cameron University","ror":"https://ror.org/00rgv0036","country_code":"US","type":"education","lineage":["https://openalex.org/I113618177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA"],"raw_orcid":"https://orcid.org/0000-0002-9189-9298","affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA","institution_ids":["https://openalex.org/I113618177"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087674067"],"corresponding_institution_ids":["https://openalex.org/I113618177"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36901763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"56","last_page":"56"},"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":0.9904999732971191,"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":0.9821000099182129,"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/convergence","display_name":"Convergence (economics)","score":0.6634745597839355},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.6415618658065796},{"id":"https://openalex.org/keywords/normal-convergence","display_name":"Normal convergence","score":0.6036593914031982},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5933467149734497},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5751954317092896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.571044921875},{"id":"https://openalex.org/keywords/convergence-tests","display_name":"Convergence tests","score":0.5699912309646606},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5525050163269043},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5414026975631714},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.5187330842018127},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5121829509735107},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.48544198274612427},{"id":"https://openalex.org/keywords/unconditional-convergence","display_name":"Unconditional convergence","score":0.4657279849052429},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.45644527673721313},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.45033106207847595},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4334371089935303},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4263591468334198},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41365596652030945},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.39680978655815125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3071710765361786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2878354787826538},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24385708570480347},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.23606914281845093},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16311994194984436},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07653167843818665},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06629198789596558}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6634745597839355},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.6415618658065796},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.6036593914031982},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5933467149734497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5751954317092896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.571044921875},{"id":"https://openalex.org/C538505008","wikidata":"https://www.wikidata.org/wiki/Q3979448","display_name":"Convergence tests","level":4,"score":0.5699912309646606},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5525050163269043},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5414026975631714},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.5187330842018127},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5121829509735107},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.48544198274612427},{"id":"https://openalex.org/C89397928","wikidata":"https://www.wikidata.org/wiki/Q1630320","display_name":"Unconditional convergence","level":5,"score":0.4657279849052429},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.45644527673721313},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.45033106207847595},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4334371089935303},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4263591468334198},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41365596652030945},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.39680978655815125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3071710765361786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2878354787826538},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24385708570480347},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.23606914281845093},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16311994194984436},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07653167843818665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06629198789596558},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.0},{"id":"https://openalex.org/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym17010056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010056","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fd62e7231ec04aaca4ade34d332ca1aa","is_oa":false,"landing_page_url":"https://doaj.org/article/fd62e7231ec04aaca4ade34d332ca1aa","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 17, Iss 1, p 56 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym17010056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010056","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1499223973","https://openalex.org/W1982246852","https://openalex.org/W1988151191","https://openalex.org/W1994625348","https://openalex.org/W1994767054","https://openalex.org/W2001804618","https://openalex.org/W2011023522","https://openalex.org/W2027823200","https://openalex.org/W2038079975","https://openalex.org/W2052199958","https://openalex.org/W2056333052","https://openalex.org/W2068720794","https://openalex.org/W2076916216","https://openalex.org/W2090963365","https://openalex.org/W2099981000","https://openalex.org/W2220300957","https://openalex.org/W2803622222","https://openalex.org/W3026531385","https://openalex.org/W4205246695","https://openalex.org/W4286500904","https://openalex.org/W4309935824","https://openalex.org/W4399110148","https://openalex.org/W4402647529","https://openalex.org/W4404145683","https://openalex.org/W4404248563","https://openalex.org/W6629822898","https://openalex.org/W6645806630","https://openalex.org/W6648691755","https://openalex.org/W6667569269","https://openalex.org/W6669923607","https://openalex.org/W6689270412","https://openalex.org/W6751879640"],"related_works":["https://openalex.org/W2034145661","https://openalex.org/W576291453","https://openalex.org/W2246194234","https://openalex.org/W2358747775","https://openalex.org/W2552035637","https://openalex.org/W3133985041","https://openalex.org/W2060982220","https://openalex.org/W4251721472","https://openalex.org/W53647575","https://openalex.org/W1560596621"],"abstract_inverted_index":{"Symmetry":[0],"and":[1,127],"anti-symmetry":[2],"appear":[3],"naturally":[4],"in":[5,25,29,57,64],"the":[6,43,62,65,74,77,86,89,100,106,113,121,130],"study":[7,61,129],"of":[8,10,19,88,105],"systems":[9],"nonlinear":[11],"equations":[12,21],"resulting":[13],"from":[14],"numerous":[15],"fields.":[16],"The":[17,79],"solutions":[18],"such":[20],"can":[22],"be":[23],"obtained":[24],"analytical":[26],"form":[27],"only":[28],"some":[30],"special":[31],"situations.":[32],"Therefore,":[33],"algorithms":[34],"or":[35],"iterative":[36],"schemes":[37],"are":[38,103],"mostly":[39],"studied,":[40],"which":[41],"approximate":[42],"solution.":[44,78],"In":[45],"particular,":[46],"Jarratt-like":[47],"methods":[48,63,122,126],"were":[49],"introduced":[50],"with":[51,92,124],"convergence":[52,69,81,101,117],"order":[53,102],"at":[54],"least":[55],"six":[56],"Euclidean":[58],"spaces.":[59],"We":[60,119],"Banach-space":[66],"setting.":[67],"Semilocal":[68],"is":[70,83],"studied":[71],"to":[72],"obtain":[73],"ball":[75],"containing":[76],"local":[80,116],"analysis":[82],"performed":[84],"without":[85],"help":[87],"Taylor":[90],"series":[91],"relaxed":[93],"differentiability":[94],"assumptions.":[95],"Our":[96],"assumptions":[97,111],"for":[98,115],"obtaining":[99],"independent":[104],"solution;":[107],"earlier":[108],"studies":[109],"used":[110],"involving":[112],"solution":[114],"analysis.":[118],"compare":[120],"numerically":[123],"similar-order":[125],"also":[128],"dynamics.":[131]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
