Stability of Parallel Algorithms for Polynomial Evaluation
نویسنده
چکیده
In this paper, we analyse the stability of parallel algorithms for the evaluation of polynomials written es a finite series of orthogonal polynomials. The basic part of the computation is the solution of a triangular tridiagonal linear system. This fact allows us to present a more detailed analysis. The theoretical results show that the parallel algorithms are almost as stable as their sequential counterparts for practical applications. Extensive numerical experiments confirm the theoretical conclusions. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Numerical stability, Polynomial evaluation, Parallel algorithm.
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تاریخ انتشار 2003