{"id":"https://openalex.org/W2077513953","doi":"https://doi.org/10.1007/s11075-013-9708-9","title":"Convergence analysis for a family of improved super-Halley methods under general convergence condition","display_name":"Convergence analysis for a family of improved super-Halley methods under general convergence condition","publication_year":2013,"publication_date":"2013-04-05","ids":{"openalex":"https://openalex.org/W2077513953","doi":"https://doi.org/10.1007/s11075-013-9708-9","mag":"2077513953"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9708-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9708-9","pdf_url":null,"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":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"]},{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuhua Wang","raw_affiliation_strings":["Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China","School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432100, Hubei, China","School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, China","Department of Mathematics, Zhengzhou University, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432100, Hubei, China","institution_ids":["https://openalex.org/I4210154338"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, China","institution_ids":["https://openalex.org/I4210154338"]},{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou, China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019184470","display_name":"Dongyang Shi","orcid":"https://orcid.org/0000-0003-3945-6796"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyang Shi","raw_affiliation_strings":["Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China","Department of Mathematics, Zhengzhou University, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou, China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"last","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":true,"raw_author_name":"Jisheng Kou","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432100, Hubei, China","School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432100, Hubei, China","institution_ids":["https://openalex.org/I4210154338"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, China","institution_ids":["https://openalex.org/I4210154338"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045760110"],"corresponding_institution_ids":["https://openalex.org/I4210154338"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4716,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65620571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"65","issue":"2","first_page":"339","last_page":"354"},"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":0.986299991607666,"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":0.9789999723434448,"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":0.8740633726119995},{"id":"https://openalex.org/keywords/fr\u00e9chet-derivative","display_name":"Fr\u00e9chet derivative","score":0.7316751480102539},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7088664174079895},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5909502506256104},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5709760189056396},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.5024003982543945},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.49687460064888},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.4818102717399597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4813057482242584},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47465354204177856},{"id":"https://openalex.org/keywords/unconditional-convergence","display_name":"Unconditional convergence","score":0.4647262692451477},{"id":"https://openalex.org/keywords/h\u00f6lder-condition","display_name":"H\u00f6lder condition","score":0.45768988132476807},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43281078338623047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42533713579177856},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.42529380321502686},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4129520058631897},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3463717997074127},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.2690272927284241},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.24781441688537598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12991315126419067},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.06476959586143494}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8740633726119995},{"id":"https://openalex.org/C118335899","wikidata":"https://www.wikidata.org/wiki/Q1305350","display_name":"Fr\u00e9chet derivative","level":3,"score":0.7316751480102539},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7088664174079895},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5909502506256104},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5709760189056396},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5024003982543945},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.49687460064888},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.4818102717399597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4813057482242584},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47465354204177856},{"id":"https://openalex.org/C89397928","wikidata":"https://www.wikidata.org/wiki/Q1630320","display_name":"Unconditional convergence","level":5,"score":0.4647262692451477},{"id":"https://openalex.org/C553313952","wikidata":"https://www.wikidata.org/wiki/Q1537963","display_name":"H\u00f6lder condition","level":2,"score":0.45768988132476807},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43281078338623047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42533713579177856},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.42529380321502686},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4129520058631897},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3463717997074127},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.2690272927284241},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.24781441688537598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12991315126419067},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.06476959586143494},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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":1,"locations":[{"id":"doi:10.1007/s11075-013-9708-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9708-9","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.44999998807907104,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1553798826","https://openalex.org/W1558432760","https://openalex.org/W1969633480","https://openalex.org/W1970633800","https://openalex.org/W1982301815","https://openalex.org/W1985361422","https://openalex.org/W1988725199","https://openalex.org/W2002149056","https://openalex.org/W2002922765","https://openalex.org/W2033272950","https://openalex.org/W2036522182","https://openalex.org/W2038307995","https://openalex.org/W2079386352","https://openalex.org/W2092282145","https://openalex.org/W2104390620","https://openalex.org/W2112492715","https://openalex.org/W2129840316","https://openalex.org/W2137958908"],"related_works":["https://openalex.org/W2552035637","https://openalex.org/W3215876884","https://openalex.org/W2560173887","https://openalex.org/W2150348495","https://openalex.org/W1849433608","https://openalex.org/W2564862838","https://openalex.org/W2776443837","https://openalex.org/W2997905542","https://openalex.org/W3190885741","https://openalex.org/W3012911941"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
