{"id":"https://openalex.org/W1981997287","doi":"https://doi.org/10.1109/iccis.2012.284","title":"Some Accurate Methods for Finding Simple Roots of Polynomials in Floating Point Arithmetic","display_name":"Some Accurate Methods for Finding Simple Roots of Polynomials in Floating Point Arithmetic","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W1981997287","doi":"https://doi.org/10.1109/iccis.2012.284","mag":"1981997287"},"language":"en","primary_location":{"id":"doi:10.1109/iccis.2012.284","doi":"https://doi.org/10.1109/iccis.2012.284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccis.2012.284","pdf_url":null,"source":{"id":"https://openalex.org/S4306419210","display_name":"International Conference on Computational and Information Sciences","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Fourth International Conference on Computational and Information Sciences","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5067084515","display_name":"Peibing Du","orcid":"https://orcid.org/0000-0002-7971-7842","observed_orcids":["https://orcid.org/0000-0002-7971-7842"]},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peibing Du","raw_affiliation_strings":["Science School, National University of Defense Technology, Changsha, China","Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science School, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102893559","display_name":"Lizhi Cheng","orcid":"https://orcid.org/0000-0002-8371-066X","observed_orcids":["https://orcid.org/0000-0002-8371-066X"]},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lizhi Cheng","raw_affiliation_strings":["Science School, National University of Defense Technology, Changsha, China","Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science School, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100712103","display_name":"Hao Jiang","orcid":"https://orcid.org/0000-0001-7334-5657","observed_orcids":["https://orcid.org/0000-0001-7334-5657"]},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Jiang","raw_affiliation_strings":["Science School, National University of Defense Technology, Changsha, China","Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science School, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103069699","display_name":"Feicheng Wang","orcid":"https://orcid.org/0000-0002-9268-554X","observed_orcids":["https://orcid.org/0000-0002-9268-554X"]},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feicheng Wang","raw_affiliation_strings":["Science School, National University of Defense Technology, Changsha, China","Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science School, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Sci. Sch., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"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":"31","issue":null,"first_page":"639","last_page":"642"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.986299991607666,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.986299991607666,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.006099999882280827,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.0031999999191612005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-root-finding","display_name":"polynomial root finding","score":0.7950000166893005},{"id":"https://openalex.org/keywords/simple-roots","display_name":"simple roots","score":0.9900000095367432},{"id":"https://openalex.org/keywords/floating-point-arithmetic","display_name":"floating-point arithmetic","score":0.8880000114440918},{"id":"https://openalex.org/keywords/ill-conditioned-problems","display_name":"ill-conditioned problems","score":0.7739999890327454},{"id":"https://openalex.org/keywords/residual-computation","display_name":"residual computation","score":0.7329999804496765},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.47699999809265137}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7736266851425171},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.6431156992912292},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.591545820236206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5707075595855713},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5292158722877502},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5171391367912292},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4656314253807068},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44292521476745605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41757088899612427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36650604009628296},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05407264828681946},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccis.2012.284","doi":"https://doi.org/10.1109/iccis.2012.284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccis.2012.284","pdf_url":null,"source":{"id":"https://openalex.org/S4306419210","display_name":"International Conference on Computational and Information Sciences","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Fourth International Conference on Computational and Information Sciences","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1968165559","https://openalex.org/W1975602595","https://openalex.org/W2002064155","https://openalex.org/W2012407419","https://openalex.org/W2020804487","https://openalex.org/W2021676708","https://openalex.org/W2100663782","https://openalex.org/W2112011769","https://openalex.org/W2144917506","https://openalex.org/W2157670241","https://openalex.org/W2204310803","https://openalex.org/W2988007216","https://openalex.org/W4240596267"],"related_works":["https://openalex.org/W2979312378","https://openalex.org/W2112011769","https://openalex.org/W3207518756","https://openalex.org/W7095183942","https://openalex.org/W2912952310","https://openalex.org/W4362515264","https://openalex.org/W2015867405","https://openalex.org/W2055757595","https://openalex.org/W7039737041","https://openalex.org/W2023482463"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"three":[3],"accurate":[4],"methods":[5],"for":[6],"finding":[7],"simple":[8],"roots":[9],"of":[10],"polynomials":[11],"in":[12],"floating":[13],"point":[14],"arithmetic.":[15],"We":[16],"present":[17],"them":[18],"by":[19],"using":[20],"the":[21,28,37,49],"Compensated":[22],"Horner":[23],"algorithm":[24],"to":[25,47],"accurately":[26],"compute":[27],"residual":[29],"which":[30],"can":[31],"yield":[32],"a":[33],"full":[34],"precision":[35],"when":[36],"problem":[38],"is":[39],"ill-conditioned":[40],"enough.":[41],"Some":[42],"numerical":[43],"experiments":[44],"are":[45],"conducted":[46],"justify":[48],"proposed":[50],"approaches.":[51]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}