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Blum-Shub-Smale machines are a classical model of computability over the real line. In , Koepke and Seyfferth generalised Blum… Expand This article describes recent advances in the computation of the homology groups of semialgebraic sets. It summarizes a series of… Expand We study the emergent dynamics for the hydrodynamic Cucker--Smale system arising in the modeling of flocking dynamics in… Expand We introduce a generalization of Blum-Shub-Smale machines on the standard real numbers ℝ that is allowed to run for a transfinite… Expand AbstractIsolated multiple zeros or clusters of zeros of analytic maps with several variables are known to be difficult to locate… Expand We establish a new connection between the two most common traditions in the theory of real computation, the Blum-Shub-Smale model… Expand Abstract.Given , the linear complementarity problem (LCP) is to find such that (x, s)≥ 0,s=Mx+q,xTs=0. By using the Chen-Harker… Expand Abstract In this paper we compare recursively enumerable subsets of Rq in two computing models over real numbers: the Blum-Shub… Expand Continuing the paper , in which the Blum-Shub-Smale approach to computability over the reals has been generalized to arbitrary… Expand We estimate the probability that a given number of projective Newton steps applied to a linear homotopy of a system of n… Expand