{"id":"https://openalex.org/W2108275361","doi":"https://doi.org/10.1155/2012/365956","title":"Iteration and Iterative Roots of Fractional Polynomial Function","display_name":"Iteration and Iterative Roots of Fractional Polynomial Function","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2108275361","doi":"https://doi.org/10.1155/2012/365956","mag":"2108275361"},"language":"en","primary_location":{"id":"doi:10.1155/2012/365956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/365956","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/365956.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/365956.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100370791","display_name":"Xiaohua Liu","orcid":"https://orcid.org/0000-0003-0427-2452"},"institutions":[{"id":"https://openalex.org/I2802584641","display_name":"Leshan Normal University","ror":"https://ror.org/036cvz290","country_code":"CN","type":"education","lineage":["https://openalex.org/I2802584641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-hua Liu","raw_affiliation_strings":["College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, China","institution_ids":["https://openalex.org/I2802584641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100370791"],"corresponding_institution_ids":["https://openalex.org/I2802584641"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4143,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62596717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.994700014591217,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8927983641624451},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6320013999938965},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6001840233802795},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5661585927009583},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5444374084472656},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5141261219978333},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4971020519733429},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4502057135105133},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.42116978764533997},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28459852933883667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2556889057159424},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13024002313613892}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8927983641624451},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6320013999938965},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6001840233802795},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5661585927009583},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5444374084472656},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5141261219978333},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4971020519733429},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4502057135105133},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.42116978764533997},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28459852933883667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2556889057159424},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13024002313613892},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/365956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/365956","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/365956.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:365956","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/365956.xml","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"},{"id":"pmh:oai:doaj.org/article:2fc6d2a488544eb39a2ddc2203fae6a5","is_oa":true,"landing_page_url":"https://doaj.org/article/2fc6d2a488544eb39a2ddc2203fae6a5","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/365956","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/365956","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/365956.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2108275361.pdf","grobid_xml":"https://content.openalex.org/works/W2108275361.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W768601955","https://openalex.org/W1595749660","https://openalex.org/W1963997871","https://openalex.org/W2009064211","https://openalex.org/W2011632766","https://openalex.org/W2011962615","https://openalex.org/W2072435040","https://openalex.org/W2094064236","https://openalex.org/W2168992481","https://openalex.org/W2322349719","https://openalex.org/W2348817524"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4300101996","https://openalex.org/W2082446734","https://openalex.org/W3101625811","https://openalex.org/W4313560640"],"abstract_inverted_index":{"Iteration":[0],"is":[1,19],"involved":[2],"in":[3],"the":[4,44,73],"fields":[5],"of":[6,17,46,53,56,69],"dynamical":[7],"systems":[8],"and":[9,12,42],"numerical":[10],"computation":[11,16],"so":[13],"forth.":[14],"The":[15],"iteration":[18],"difficult":[20],"for":[21,25,72],"general":[22,54],"functions":[23,28],"(even":[24],"some":[26],"simple":[27],"such":[29],"as":[30],"linear":[31],"fractional":[32,39],"functions).":[33],"In":[34],"this":[35],"paper,":[36],"we":[37,64],"discuss":[38],"polynomial":[40],"function":[41,74],"use":[43],"method":[45],"conjugate":[47],"similitude":[48],"to":[49],"obtain":[50],"its":[51],"expression":[52],"iterate":[55],"order":[57,70],"n":[58,71],"under":[59,75],"two":[60,76],"different":[61,77],"conditions.":[62,78],"Furthermore,":[63],"also":[65],"give":[66],"iterative":[67],"roots":[68]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
