Stability of parallel algorithms for polynomial evaluation

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Abstract

In this paper, we analyse the stability of parallel algorithms for the evaluation of polynomials written as 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.

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APA

Barrio, R., & Yalamov, P. (2003). Stability of parallel algorithms for polynomial evaluation. Computers and Mathematics with Applications, 46(5–6), 769–781. https://doi.org/10.1016/S0898-1221(03)90140-4

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