On fast evaluation of bivariate polynomials at equispaced arguments

Roy, S. C. D. and Minocha, Shailey (1992). On fast evaluation of bivariate polynomials at equispaced arguments. IEEE Transactions on Signal Processing, 40(7) pp. 1813–1816.

DOI: https://doi.org/10.1109/78.143452

Abstract

The initial value problem arising in the recursive evaluation of a 2D polynomial at equispaced points is treated in detail; the results facilitate efficient implementation of Bose's recursive algorithm. The computational complexity is compared with that involved in a direct computation, and some general observations are made for an alternative scheme proposed by X. Nie and R. Unbehauen (1989).

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