{"id":"https://openalex.org/W2102741602","doi":"https://doi.org/10.1109/tassp.1987.1165062","title":"Efficient evaluation of multivariate polynomials over multidimensional grids","display_name":"Efficient evaluation of multivariate polynomials over multidimensional grids","publication_year":1987,"publication_date":"1987-11-01","ids":{"openalex":"https://openalex.org/W2102741602","doi":"https://doi.org/10.1109/tassp.1987.1165062","mag":"2102741602"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165062","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Acoustics, Speech, and Signal Processing","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/A5016759566","display_name":"N.K. Bose","orcid":"https://orcid.org/0009-0000-9472-0444"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. Bose","raw_affiliation_strings":["Department of Electrical Engineering, Pennsylvania State University, University Park, PA, USA","PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016759566"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":1.5471,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82896099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"11","first_page":"1630","last_page":"1631"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9965000152587891,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9965000152587891,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9606000185012817,"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/computer-science","display_name":"Computer science","score":0.29948538541793823}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29948538541793823}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165062","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1488668339","https://openalex.org/W1965480083","https://openalex.org/W2093599004","https://openalex.org/W2154118038","https://openalex.org/W4392750738"],"related_works":["https://openalex.org/W1965480083","https://openalex.org/W2061232927","https://openalex.org/W2362208410","https://openalex.org/W1999786454","https://openalex.org/W2135432047","https://openalex.org/W2017910006","https://openalex.org/W1755940714","https://openalex.org/W2189394917","https://openalex.org/W2137395416","https://openalex.org/W3100328676","https://openalex.org/W2860472342","https://openalex.org/W1630856138","https://openalex.org/W2023337833","https://openalex.org/W2284607627","https://openalex.org/W2093796002","https://openalex.org/W1967909295","https://openalex.org/W1543905733","https://openalex.org/W2090905570","https://openalex.org/W2903915923","https://openalex.org/W1554653360"],"abstract_inverted_index":{"Let":[0],"P(x":[1,44,85],"<inf":[2,7,14,26,31,38,45,50,57,65,70,86,91,98,107,112,117,121,126,147,152,159],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[3,8,15,27,32,39,46,51,58,66,71,87,92,99,108,113,118,122,127,148,153,160],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</inf>":[4,28,47,88,149],",":[5,10,12,29,34,36,48,53,55,73,79,89,94,96,140],"x":[6,13,25,30,37,49,56,69,90,97,106,111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[9,33,52,93,154],"...":[11,35,54,78,95,133,139,156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</inf>":[16,40,59,100,161],")":[17,60,101,162],"be":[18,103],"a":[19],"multivariate":[20],"polynomial":[21],"in":[22,68,175],"n":[23,116,125,141,177],"variables,":[24],"and":[41,134],"suppose":[42],"that":[43],"is":[61,82,173],"of":[62,167],"degree":[63],"m":[64,151,158],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</inf>":[67,72,109,119,123,128],"i":[74,135],"=":[75,110,129,136,178],"1,":[76,131,137],"2,":[77,132,138],"n.":[80],"It":[81],"shown":[83],"how":[84],"may":[102],"evaluated":[104],"at":[105],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0i</inf>":[114],"+":[115,150,155,157],"\u0394":[120],"for":[124],"0,":[130],"using":[142],"not":[143],"more":[144],"than":[145],"(m":[146],"additions":[163],"per":[164],"point.":[165],"Feasibility":[166],"reduction":[168],"from":[169],"this":[170],"upper":[171],"bound":[172],"demonstrated":[174],"the":[176],"2":[179],"case.":[180]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}