{"title":"Algebraic transformations in regular array design","authors":"T. P. Plaks","doi":"10.1109/CMPSAC.2001.960647","DOIUrl":null,"url":null,"abstract":"Efficient parallelizing and mapping of algorithms onto regular arrays requires algebraic transformations. The paper considers the Iso-plane method for a class of algebraic transformations on the polytope model of algorithm. This method uses the partitioning of the ranges of loop indices in order to increase the dimensionality of the problem representation and a specific reordering of computations. As a result, the higher dimensional arrays with improved time complexity are produced.","PeriodicalId":269568,"journal":{"name":"25th Annual International Computer Software and Applications Conference. COMPSAC 2001","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"25th Annual International Computer Software and Applications Conference. COMPSAC 2001","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CMPSAC.2001.960647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Efficient parallelizing and mapping of algorithms onto regular arrays requires algebraic transformations. The paper considers the Iso-plane method for a class of algebraic transformations on the polytope model of algorithm. This method uses the partitioning of the ranges of loop indices in order to increase the dimensionality of the problem representation and a specific reordering of computations. As a result, the higher dimensional arrays with improved time complexity are produced.