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K-Dimensional Optimal Parallel Algorithm for the Solution of a General Class of Recurrence Equations
作者姓名:高庆狮  刘志勇
作者单位:Gao Qingshi (The Institute of Intelligence,Language and Computer Science,Beijing University of Science and Technology,Beijing 100083)Liu Zhiyong (Institute of Computing Technology,The Chinese Academy of Sciences,Beijing 100080)
摘    要:1IntroductionAlgorithmshavebeenproposedtosolvelinearrecurrencesinparallell1-13].Someofthemsupposeunlimitednumberofprocessorsbeingusedwhileothersuselimitednumberofprocessors.P-M.KoggeandH.S.Stoneproposedarecursivedou-blingalgorithmforthesolutionofageneraJclassofrecuxrenceequationsl1].Itisthefastestalgorithm(thetimeisO(log,N))whenthenumberofprocessingelemelltspiseqllaltoN.Howeveritisnotoptimalintermsofefficiency:itsspeedupisO(de),whileitsefficiencyisO(wt).TherecursivedoublingapproachcanPro…

关 键 词:并行算法  优化算法  一阶线性递归方程

K-Dimensional Optimal Parallel Algorithm for the Solution of a General Class of Recurrence Equations
Gao Qingshi.K-Dimensional Optimal Parallel Algorithm for the Solution of a General Class of Recurrence Equations[J].Journal of Computer Science and Technology,1995,10(5):17-424.
Authors:Gao Qingshi
Abstract:This paper proposes a parallel algorithm, called KDOP (K-DimensionalOptimal Parallel algorithm), to solve a general class of recurrence equations efficiently. The KDOP algorithm partitions the computation into a series of sub-computations, each of which is executed in the fashion that all the processors work simultaneously with each one executing an optimal sequential algorithm to solve a subcomputation task. The algorithm solves the equations in O(N/p)steps in EREW PRAM model (Exclusive Read Exclusive Write Parallel Ran-dom Access Machine model) using p
Keywords:Parallel algorithm  optimal algorithm  first-order linear recurrence equations  recursive doubling algorithm  tridiagonal systems of linear equations
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