{"id":"https://openalex.org/W4387642445","doi":"https://doi.org/10.1007/s40314-023-02480-x","title":"Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations","display_name":"Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations","publication_year":2023,"publication_date":"2023-10-14","ids":{"openalex":"https://openalex.org/W4387642445","doi":"https://doi.org/10.1007/s40314-023-02480-x"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02480-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02480-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5008321447","display_name":"Harmandeep Singh","orcid":"https://orcid.org/0000-0001-9783-4121"},"institutions":[{"id":"https://openalex.org/I63568130","display_name":"Sant Longowal Institute of Engineering and Technology","ror":"https://ror.org/01n15vy71","country_code":"IN","type":"education","lineage":["https://openalex.org/I63568130"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Harmandeep Singh","raw_affiliation_strings":["Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148106, Punjab, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148106, Punjab, India","institution_ids":["https://openalex.org/I63568130"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029076054","display_name":"Janak Raj Sharma","orcid":"https://orcid.org/0000-0002-4627-2795"},"institutions":[{"id":"https://openalex.org/I63568130","display_name":"Sant Longowal Institute of Engineering and Technology","ror":"https://ror.org/01n15vy71","country_code":"IN","type":"education","lineage":["https://openalex.org/I63568130"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Janak Raj Sharma","raw_affiliation_strings":["Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148106, Punjab, India"],"raw_orcid":"https://orcid.org/0000-0002-4627-2795","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148106, Punjab, India","institution_ids":["https://openalex.org/I63568130"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029076054"],"corresponding_institution_ids":["https://openalex.org/I63568130"],"apc_list":null,"apc_paid":null,"fwci":0.7965,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67810621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"42","issue":"8","first_page":null,"last_page":null},"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":0.9940000176429749,"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":0.9860000014305115,"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/iterated-function","display_name":"Iterated function","score":0.7233951687812805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7113173007965088},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6375961899757385},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6132283806800842},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.610000491142273},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6042541265487671},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5888023376464844},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5769600868225098},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5668361783027649},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.548599123954773},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5471720099449158},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4743840992450714},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42330577969551086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3331357538700104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30125585198402405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16345635056495667}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7233951687812805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7113173007965088},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6375961899757385},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6132283806800842},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.610000491142273},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6042541265487671},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5888023376464844},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5769600868225098},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5668361783027649},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.548599123954773},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5471720099449158},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4743840992450714},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42330577969551086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3331357538700104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30125585198402405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16345635056495667},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-023-02480-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02480-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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":20,"referenced_works":["https://openalex.org/W1546849145","https://openalex.org/W2033604217","https://openalex.org/W2048632019","https://openalex.org/W2284828268","https://openalex.org/W2797799273","https://openalex.org/W3013295055","https://openalex.org/W3038055344","https://openalex.org/W3112105783","https://openalex.org/W3125890687","https://openalex.org/W3205109251","https://openalex.org/W3205507631","https://openalex.org/W3205630738","https://openalex.org/W4205246695","https://openalex.org/W4213227625","https://openalex.org/W4283455122","https://openalex.org/W4294839517","https://openalex.org/W4299512035","https://openalex.org/W4312204816","https://openalex.org/W4317627836","https://openalex.org/W4383873586"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W2358591430","https://openalex.org/W2103912232","https://openalex.org/W2031390949","https://openalex.org/W2026900827","https://openalex.org/W3094698614","https://openalex.org/W1964267519","https://openalex.org/W3180920337","https://openalex.org/W2021643436","https://openalex.org/W2351377961"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-23T23:20:30.427331","created_date":"2025-10-10T00:00:00"}
