… roundoff errors we have shown affine arithmetic to provide (… a tighter range, since affine
arithmetic has to compute a linear … the dependency tracking of affine arithmetic can recover some …

… Affine arithmetic is used to model the excess offsets in order to curtail the word-length (WL)
expansion problem. Tighter probabilistically justified WL bounds are determined to enable …

… Zonotopes are the geometric objects that arise when computing with affine arithmetic (AA)
[5]. They improve over interval arithmetic by their ability to track linear dependencies and have …

… Since there is no publicly available affine arithmetic toolbox for Matlab, we developed our
own package AALab (Affine Arithmetic Laboratory). AALab provides a class for AA quantities …

… arithmetic by affine arithmetic. Voiculescu … affine arithmetic [13] improves the result and the
performance of the subdivision algorithm. The algorithms based on interval or affine arithmetic …

… overestimation keeping efficiency is introducing a unified analytical framework for the two
most popular self-validated numerical methods, ie, interval arithmetic (IA) and affine-arithmetic (…

… The affine arithmetic model (AA) is a derivation of lA, in which the quantities of interest are
represented as linear combinations (affine forms) of certain primitive variables standing for …

… for the approach presented in this paper on combining results from algorithmic convergence
studies, together with automatic exploration of reachable states based on affine arithmetic …

… As one of interval algorithms, affine arithmetic (AA) optimization has high-precision results[10]. …
Villacci, "An affine arithmetic-based methodology for reliable power flow analysis in the …

… To obtain more accurate intervals for the state variables, the affine arithmeticbased power
flow calculation is used to solve the interval power flow equation instead of crude computation …