Abstract:Abstract.Rounding errors may change the flow of control in numerical computing processes by leading to changes in some branching decisions of the process. In this paper some general topological and measure theoretical results associated with this effect of rounding errors are derived. The approach is based on a model of numerical computation related to program schemes. Each computing process specified by the model computes .a partial function R~ R" using rational operations and simple tests on real numbers. Th… Show more
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