{"title":"On the parallel evaluation of multivariate polynomials","authors":"L. Hyafil","doi":"10.1145/800133.804347","DOIUrl":null,"url":null,"abstract":"We prove that any multivariate polynomial P of degree d that can be computed with C(P) multiplications-divisions can be computed in O(log d.log C(P)) parallel steps and O(log d) parallel multiplicative steps.","PeriodicalId":313820,"journal":{"name":"Proceedings of the tenth annual ACM symposium on Theory of computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1978-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"65","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the tenth annual ACM symposium on Theory of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800133.804347","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 65
Abstract
We prove that any multivariate polynomial P of degree d that can be computed with C(P) multiplications-divisions can be computed in O(log d.log C(P)) parallel steps and O(log d) parallel multiplicative steps.