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 serie...
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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 palgorithm (itsspeedup is O(p)) in the case of palgorithm can be implemented on machines with multiple processing elements or pipelined vector machines with parallel memory systems.
The arithmetic complexity of three parallel algorithms for the direct solution of tndtagonal linear systems of equations Is compared. The algorithms are suitable for computers such as ILLIAC IV and CDC STAR. For array...
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