On the Parallel Evaluation of Multivariate Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 1978 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Computing, volume 8, pages 120-123 (issn: 0097-5397, eissn: 1095-7111,

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Authors: Laurent Hyafil;

doi: 10.1137/0208010 , 10.1145/800133.804347

On the Parallel Evaluation of Multivariate Polynomials

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Abstract

We prove that any multivariate polynomial P of degree d that can be computed with $C(P)$ multiplications-divisions can be computed in $O(\log d \cdot \log C(P))$ parallel steps and $O(\log d)$ parallel multiplicative steps.

Keywords

Evaluation of Multivariate Polynomials, Analysis of algorithms and problem complexity, Arithmetic Complexity, Parallel Computation

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