Abstract. In this article, we discuss a parallel implementation of e#cient algorithms for computation of Legendre polynomial transforms and other orthogonal polynomial transforms. We develop an approach to the Driscoll--Healy algorithm using polynomial arithmetic and present experimental results on the accuracy, e#ciency, and scalability of our implementation. The algorithms were implemented in ANSI C using the BSPlib communications library. We also present a new algorithm for computing the cosine transform of two vectors at the same time.
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