34 citations · 63 across the 16 of their papers we have counts for
4 papers · 1 filter
Root Finding With Interval Arithmetic
Walter F. Mascarenhas
We consider the solution of nonlinear equations in one real variable, the problem usually called by root finding. Although this is an old problem, we believe that some aspects of i…
Solving systems of inequalities in two variables with floating point arithmetic
Walter F. Mascarenhas
From a theoretical point of view, finding the solution set of a system of inequalities in only two variables is easy. However, if we want to get rigorous bounds on this set with fl…
Computing the exact sign of sums of products with floating point arithmetic
Walter F. Mascarenhas
IIn computational geometry, the construction of essential primitives like convex hulls, Voronoi diagrams and Delaunay triangulations require the evaluation of the signs of determin…
On the differentiability of interval functions
Walter F. Mascarenhas
Two articles published by Information Science discuss the derivatives of interval functions, in the sense of Svetoslav Markov. The authors of these articles tried to characterize f…