{"id":"https://openalex.org/W2390844273","doi":null,"title":"An Accelerated Iterative Method for Simultaneously Determining All Roots of Polynomial Equation","display_name":"An Accelerated Iterative Method for Simultaneously Determining All Roots of Polynomial Equation","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2390844273","mag":"2390844273"},"language":"en","primary_location":{"id":"mag:2390844273","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZHKD200401021.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764755457","display_name":"International Journal of Mining Science and Technology","issn_l":"2095-2686","issn":["2095-2686","2589-062X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u4e2d\u56fd\u77ff\u4e1a\u5927\u5b66\u5b66\u62a5(\u82f1\u6587\u7248)","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2390844273"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5043427449","display_name":"Liu Lan-dong","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu Lan-dong","raw_affiliation_strings":["1, MENG Yang  2"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1, MENG Yang  2","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5043427449"],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9980000257492065,"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":0.9980000257492065,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.0006000000284984708,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simultaneous-root-finding","display_name":"simultaneous root finding","score":0.7990000247955322},{"id":"https://openalex.org/keywords/polynomial-equations","display_name":"polynomial equations","score":0.8169999718666077},{"id":"https://openalex.org/keywords/accelerated-iterative-methods","display_name":"accelerated iterative methods","score":0.7289999723434448},{"id":"https://openalex.org/keywords/modified-newton-method","display_name":"modified Newton method","score":0.9929999709129333},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.734000027179718},{"id":"https://openalex.org/keywords/order-of-convergence","display_name":"convergence order","score":0.9789999723434448}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.680940568447113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6581383943557739},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6375054121017456},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5785960555076599},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5783904790878296},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.569231390953064},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5464935302734375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3700242042541504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3200487792491913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22918477654457092},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06628689169883728},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06435847282409668},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2390844273","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZHKD200401021.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764755457","display_name":"International Journal of Mining Science and Technology","issn_l":"2095-2686","issn":["2095-2686","2589-062X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u4e2d\u56fd\u77ff\u4e1a\u5927\u5b66\u5b66\u62a5(\u82f1\u6587\u7248)","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2369674601","https://openalex.org/W2374028564","https://openalex.org/W2357287617","https://openalex.org/W2013000037","https://openalex.org/W2066640127","https://openalex.org/W3211900542","https://openalex.org/W2370199487","https://openalex.org/W4387234319","https://openalex.org/W2080960729","https://openalex.org/W1993940769"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3,21],"accelerated":[4],"iteration":[5],"method":[6,19],"for":[7],"simultaneously":[8],"determining":[9],"of":[10,23,36],"a":[11],"polynomial":[12],"equation\u2019s":[13],"roots":[14],"is":[15,20],"proposed.":[16],"The":[17],"new":[18],"improvement":[22],"modified":[24],"Newton":[25],"method.":[26],"At":[27,41],"the":[28,34],"same":[29],"time,":[30],"convergence":[31,37],"properties":[32],"and":[33,48],"order":[35],"rate":[38],"are":[39,46],"discussed.":[40],"last,":[42],"some":[43],"numerical":[44],"results":[45],"reported":[47],"listed.":[49]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}