On the Parallel Evaluation of Polynomials
- 1 January 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers
- Vol. C-22 (1) , 2-5
- https://doi.org/10.1109/T-C.1973.223593
Abstract
If an unlimited number of processors is available, then for any given number of steps s, s≥1, polynomials of degree as large as C2n-δcan be evaluated, where C= √2 and δ ≈ √2s. This implies polynomials of degree can be evaluated in log2n+√2log2n +0(1) steps. Various techniques for the evaluation of polynomials in a "reasonable number" of "steps" are compared with the known lower bounds.Keywords
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