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- W2097461634 abstract "Abstract This paper introduces the parallelization on a distributed memory multicomputer of two iterative methods for finding all the roots of a given polynomial. The parallel algorithms share the computation of the roots among the processors and perform a total exchange of the data at each step. Since the amount of communications is the main drawback of this approach, we study the effect of the network topology on the performance of the algorithms. Particularly, we show that among the different classical processors networks topologies (ring, 2d-torus or n-cube), the hypercube topology minimizes the communications. For each topology is computed the optimal number of processors. Experiments on the hypercube FPS T40 illustrate the results." @default.
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- W2097461634 date "1990-09-01" @default.
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- W2097461634 title "Finding the roots of a polynomial on an MIMD multicomputer" @default.
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- W2097461634 doi "https://doi.org/10.1016/0167-8191(90)90032-5" @default.
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