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University of Southern Denmark IMADA - Department of Mathematics and Computer Science


Fast Multipoint Evaluation of Bivariate Polynomials

Martin Ziegler
Heinz Nixdorff Institut
Universitšt Paderborn

Tuesday, May 11, 2004, at 14:15
Seminar Room


We generalize univariate multipoint evaluation of polynomials of degree n at sublinear amortized cost per point. More precisely, it is shown how to evaluate a bivariate polynomial p of maximum degree less than n, specified by its n2 coefficients, simultaneously at n2 given points using a total of O(n2.667) arithmetic operations. In terms of the input size N, being quadratic in n, this amounts to an amortized cost of O(N0.334) per point.

Host: Klaus Meer

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