{"id":"https://openalex.org/W4394683792","doi":"https://doi.org/10.3390/a17040154","title":"Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations","display_name":"Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations","publication_year":2024,"publication_date":"2024-04-10","ids":{"openalex":"https://openalex.org/W4394683792","doi":"https://doi.org/10.3390/a17040154"},"language":"en","primary_location":{"id":"doi:10.3390/a17040154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040154","pdf_url":"https://www.mdpi.com/1999-4893/17/4/154/pdf?version=1712741861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/4/154/pdf?version=1712741861","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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"]}]},{"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 & Computational Science, National Institute of Technology Karnataka, Surathkal 575025, India"],"raw_orcid":"https://orcid.org/0000-0002-3530-5539","affiliations":[{"raw_affiliation_string":"Department of Mathematical & Computational Science, National Institute of Technology Karnataka, Surathkal 575025, India","institution_ids":["https://openalex.org/I11880225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068409818","display_name":"Samundra Regmi","orcid":"https://orcid.org/0000-0003-0035-1022"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samundra Regmi","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, TX 77205, USA"],"raw_orcid":"https://orcid.org/0000-0003-0035-1022","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX 77205, USA","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059808785","display_name":"Christopher I. Argyros","orcid":"https://orcid.org/0000-0002-7647-3571"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher I. Argyros","raw_affiliation_strings":["School of Computational Science and Engineering, Georgia Institute of Technology, North Avenue Atlanta, Atlanta, GA 30332, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computational Science and Engineering, Georgia Institute of Technology, North Avenue Atlanta, Atlanta, GA 30332, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"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":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.3008,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7495288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"4","first_page":"154","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.634046196937561},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5967016816139221},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.530129611492157},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.49505582451820374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4913736879825592},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47415560483932495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41889816522598267},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4166816771030426},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0982961356639862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0671045184135437}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.634046196937561},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5967016816139221},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.530129611492157},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.49505582451820374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4913736879825592},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47415560483932495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41889816522598267},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4166816771030426},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0982961356639862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0671045184135437},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17040154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040154","pdf_url":"https://www.mdpi.com/1999-4893/17/4/154/pdf?version=1712741861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fd2b09d417114f5a97d7e449ce931aba","is_oa":false,"landing_page_url":"https://doaj.org/article/fd2b09d417114f5a97d7e449ce931aba","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":"Algorithms, Vol 17, Iss 4, p 154 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17040154","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040154","pdf_url":"https://www.mdpi.com/1999-4893/17/4/154/pdf?version=1712741861","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394683792.pdf","grobid_xml":"https://content.openalex.org/works/W4394683792.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W2022703159","https://openalex.org/W2069499139","https://openalex.org/W2069734325","https://openalex.org/W2100514507","https://openalex.org/W2115499189","https://openalex.org/W2116210979","https://openalex.org/W2619381903","https://openalex.org/W2807020171","https://openalex.org/W2963743617","https://openalex.org/W2966534858","https://openalex.org/W3007299075","https://openalex.org/W3023032096","https://openalex.org/W3104141139","https://openalex.org/W3120161765","https://openalex.org/W3123615724","https://openalex.org/W3133725437","https://openalex.org/W3150586458","https://openalex.org/W3193821146","https://openalex.org/W4205246695","https://openalex.org/W4315776934","https://openalex.org/W4382519659","https://openalex.org/W4382519803","https://openalex.org/W4383335342","https://openalex.org/W4388906371","https://openalex.org/W4390790686","https://openalex.org/W6775987336","https://openalex.org/W6777074103"],"related_works":["https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W1989922445","https://openalex.org/W4317939968","https://openalex.org/W2382250648","https://openalex.org/W2097957716","https://openalex.org/W4390144857","https://openalex.org/W2367363545","https://openalex.org/W2586383879","https://openalex.org/W213655078"],"abstract_inverted_index":{"Iterative":[0],"algorithms":[1,23,113,142],"requiring":[2],"the":[3,18,40,63,66,72,75,100,103,111,124,149],"computationally":[4],"expensive":[5,120],"in":[6,28],"general":[7],"inversion":[8],"of":[9,39,49,55,71,102,145],"linear":[10,41,51,146],"operators":[11,147],"are":[12,26,43,58,114],"difficult":[13],"to":[14,31,98,121,136],"implement.":[15,122],"This":[16],"is":[17,77,96,127],"reason":[19],"why":[20],"hybrid":[21],"Newton-like":[22,130],"without":[24],"inverses":[25,38,144],"developed":[27],"this":[29],"paper":[30],"solve":[32],"Banach":[33],"space-valued":[34],"nonlinear":[35],"equations.":[36],"The":[37,68,83,91,106],"operator":[42,73],"exchanged":[44],"by":[45,79],"a":[46,80],"finite":[47],"sum":[48],"fixed":[50],"operators.":[52],"Two":[53],"types":[54],"convergence":[56,101],"analysis":[57,85],"presented":[59],"for":[60,129],"these":[61],"algorithms:":[62],"semilocal":[64],"and":[65],"local.":[67],"Fr\u00e9chet":[69],"derivative":[70],"on":[74,88],"equation":[76],"controlled":[78],"majorant":[81],"function.":[82],"semi-local":[84],"also":[86],"relies":[87],"majorizing":[89],"sequences.":[90],"celebrated":[92],"contraction":[93],"mapping":[94],"principle":[95],"utilized":[97],"study":[99],"Krasnoselskij-like":[104],"algorithm.":[105],"numerical":[107],"experimentation":[108],"demonstrates":[109],"that":[110],"new":[112,125],"essentially":[115],"as":[116],"effective":[117],"but":[118],"less":[119],"Although":[123],"approach":[126],"demonstrated":[128],"algorithms,":[131],"it":[132],"can":[133],"be":[134],"applied":[135],"other":[137],"single-step,":[138],"multistep,":[139],"or":[140],"multipoint":[141],"using":[143],"along":[148],"same":[150],"lines.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
