{"id":"https://openalex.org/W2063989830","doi":"https://doi.org/10.1137/0917018","title":"A Simple Parallel Algorithm for Polynomial Evaluation","display_name":"A Simple Parallel Algorithm for Polynomial Evaluation","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2063989830","doi":"https://doi.org/10.1137/0917018","mag":"2063989830"},"language":"en","primary_location":{"id":"doi:10.1137/0917018","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0917018","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5065422134","display_name":"Lei Li","orcid":"https://orcid.org/0000-0003-1857-8233"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lei Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040560297","display_name":"Jie Hu","orcid":"https://orcid.org/0000-0002-5157-0172"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jie Hu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012610908","display_name":"Tadao Nakamura","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tadao Nakamura","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065422134"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5176,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82996297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"1","first_page":"260","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9954000115394592,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mimd","display_name":"MIMD","score":0.9345588684082031},{"id":"https://openalex.org/keywords/simd","display_name":"SIMD","score":0.722890317440033},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6668000221252441},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6328837275505066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5540765523910522},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5002002716064453},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4602019488811493},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.45505979657173157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39571213722229004},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.37569618225097656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3643719553947449}],"concepts":[{"id":"https://openalex.org/C21032095","wikidata":"https://www.wikidata.org/wiki/Q1149237","display_name":"MIMD","level":2,"score":0.9345588684082031},{"id":"https://openalex.org/C150552126","wikidata":"https://www.wikidata.org/wiki/Q339387","display_name":"SIMD","level":2,"score":0.722890317440033},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6668000221252441},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6328837275505066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5540765523910522},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5002002716064453},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4602019488811493},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.45505979657173157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39571213722229004},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.37569618225097656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3643719553947449},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0917018","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0917018","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1995782589","https://openalex.org/W2031417156","https://openalex.org/W2221264131"],"related_works":["https://openalex.org/W1980986440","https://openalex.org/W3158884034","https://openalex.org/W4388314704","https://openalex.org/W2014030893","https://openalex.org/W1971361763","https://openalex.org/W2399578218","https://openalex.org/W2167983067","https://openalex.org/W2125719717","https://openalex.org/W156928674","https://openalex.org/W1598922803"],"abstract_inverted_index":{"In":[0],"this":[1,13],"paper,":[2],"we":[3,15],"show":[4],"a":[5,38,53,85],"simple":[6,132],"parallel":[7],"algorithm":[8,130],"for":[9],"polynomial":[10,39],"evaluation.":[11],"By":[12],"method,":[14],"only":[16],"need":[17],"${{2N}":[18],"/":[19,33,91],"p}":[20],"+":[21],"\\log":[22],"_2":[23,57,89],"p$":[24,58],"steps":[25,59,94],"on":[26,43,101],"p":[27],"processors":[28],"(where":[29],"$p":[30],"\\leqslant":[31],"O(N^{{1":[32],"2}}":[34,92],")$)":[35],"to":[36,137],"evaluate":[37],"of":[40,55,76,87],"degree":[41],"N":[42],"an":[44,48,102],"SIMD":[45],"computer":[46,104],"or":[47],"MIMD":[49,103],"computer,":[50],"which":[51],"is":[52,131],"decrease":[54,86],"$\\log":[56],"as":[60,95],"compared":[61,96],"with":[62,97],"the":[63],"p-order":[64],"Homer":[65],"method":[66],"[S.":[67],"Lakshmivarahan":[68],"and":[69,74,83,108,135],"S.":[70],"K.":[71,119],"Dhall,":[72],"Analysis":[73],"Design":[75],"Parallel":[77],"Algorithms,":[78],"McGraw-Hill,":[79],"New":[80],"York,":[81],"1990],":[82],"also":[84],"$(2\\log":[88],"p)^{{1":[90],"$":[93],"some":[98],"other":[99],"algorithms":[100],"[J.":[105],"I.":[106],"Munro":[107],"M.":[109],"Paterson,":[110],"J.":[111],"Comput.":[112],"System":[113],"Sci.,":[114],"7":[115],"(1973),":[116,125],"pp.":[117,126],"189\u2013198,":[118],"Maruyama,":[120],"IEEE":[121],"Trans.":[122],"Comput.,":[123],"C-22":[124],"2\u20135].":[127],"The":[128],"new":[129],"in":[133],"structure":[134],"easy":[136],"implement.":[138]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}