{"id":"https://openalex.org/W2036522182","doi":"https://doi.org/10.1007/s10957-012-9985-9","title":"Semilocal Convergence of a Class of Modified Super-Halley Methods in Banach Spaces","display_name":"Semilocal Convergence of a Class of Modified Super-Halley Methods in Banach Spaces","publication_year":2012,"publication_date":"2012-01-17","ids":{"openalex":"https://openalex.org/W2036522182","doi":"https://doi.org/10.1007/s10957-012-9985-9","mag":"2036522182"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-9985-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-9985-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5025602974","display_name":"Xiuhua Wang","orcid":"https://orcid.org/0000-0003-1166-0226"},"institutions":[{"id":"https://openalex.org/I4210154338","display_name":"Hubei Engineering University","ror":"https://ror.org/05amnwk22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154338"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiuhua Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Xiaogan University, Xiaogan, 432100, Hubei, China","Xiaogan University"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xiaogan University, Xiaogan, 432100, Hubei, China","institution_ids":["https://openalex.org/I4210154338"]},{"raw_affiliation_string":"Xiaogan University","institution_ids":["https://openalex.org/I4210154338"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045760110","display_name":"Jisheng Kou","orcid":"https://orcid.org/0000-0003-0986-5900"},"institutions":[{"id":"https://openalex.org/I4210154338","display_name":"Hubei Engineering University","ror":"https://ror.org/05amnwk22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154338"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jisheng Kou","raw_affiliation_strings":["School of Mathematics and Statistics, Xiaogan University, Xiaogan, 432100, Hubei, China","Xiaogan University"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xiaogan University, Xiaogan, 432100, Hubei, China","institution_ids":["https://openalex.org/I4210154338"]},{"raw_affiliation_string":"Xiaogan University","institution_ids":["https://openalex.org/I4210154338"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100763287","display_name":"Chuanqing Gu","orcid":"https://orcid.org/0000-0002-1648-6768"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanqing Gu","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai, 200444, China","Shanghai University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, 200444, China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Shanghai University","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025602974"],"corresponding_institution_ids":["https://openalex.org/I4210154338"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2716,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86783474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"153","issue":"3","first_page":"779","last_page":"793"},"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":0.9941999912261963,"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":0.9926000237464905,"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/mathematics","display_name":"Mathematics","score":0.8775599598884583},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6881920099258423},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6314305067062378},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6274840831756592},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.610998272895813},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.5940631031990051},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.569729208946228},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47699907422065735},{"id":"https://openalex.org/keywords/eberlein\u2013\u0161mulian-theorem","display_name":"Eberlein\u2013\u0160mulian theorem","score":0.43791598081588745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42908334732055664},{"id":"https://openalex.org/keywords/normal-convergence","display_name":"Normal convergence","score":0.42676761746406555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4197903275489807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3480052351951599},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.2904220223426819},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.1585507094860077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09375080466270447},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.06549027562141418},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06367570161819458}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8775599598884583},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6881920099258423},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6314305067062378},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6274840831756592},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.610998272895813},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.5940631031990051},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.569729208946228},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47699907422065735},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.43791598081588745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42908334732055664},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.42676761746406555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4197903275489807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3480052351951599},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2904220223426819},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.1585507094860077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09375080466270447},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.06549027562141418},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06367570161819458},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-012-9985-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-9985-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:153:y:2012:i:3:d:10.1007_s10957-012-9985-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-9985-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1553798826","https://openalex.org/W1558432760","https://openalex.org/W1570434129","https://openalex.org/W1969633480","https://openalex.org/W1982301815","https://openalex.org/W1988725199","https://openalex.org/W1992976460","https://openalex.org/W2002922765","https://openalex.org/W2006869483","https://openalex.org/W2025863703","https://openalex.org/W2038307995","https://openalex.org/W2054069699","https://openalex.org/W2069762761","https://openalex.org/W2071146872","https://openalex.org/W2082947791"],"related_works":["https://openalex.org/W2034145661","https://openalex.org/W2001788870","https://openalex.org/W576291453","https://openalex.org/W2028595206","https://openalex.org/W2995787120","https://openalex.org/W2099365622","https://openalex.org/W2482464444","https://openalex.org/W2951265198","https://openalex.org/W2060809327","https://openalex.org/W2347555707"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}