Stability of parallel algorithms to evaluate Chebyshev series

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چکیده

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A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment

A simple parallel algorithm for the evaluation of polynomials written in the Chebyshev form is introduced. By this method only 2 ⌈log2(p−2)⌉+ ⌈log2 p⌉+4 ⌈N/p⌉−7 steps on p processors are needed to evaluate a Chebyshev series of degree N . Theoretical analysis of the efficiency is performed and some numerical examples on a CRAY T3D are shown.

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2001

ISSN: 0898-1221

DOI: 10.1016/s0898-1221(01)00102-x