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We study the absorbing invariant set of a dynamical system defined by a map derived from Error Diffusion, a greedy online approximation algorithm that minimizes the (Euclidean) norm of the cumulated error. This algorithm assigns a sequence of outputs, each a vertex of some polytope, to any sequence of inputs in that polytope. Here, the polytope is assumed to be a simplex that is acute, meaning that...
In view of the results of Theorems III.1 and Theorem III.2, all the minimal bilinear algorithms for computing the coefficients of R(u)S(u) mod Q(u)l have multiplications of the form R(αj)S(αj) hence the algorithm requires large coefficients (as in l=1). Therefore using the identity R(u)S(u)=R(u)S(u) mod P(u) where degP(u)=2n − 1 with distinct irreducible,...
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