In range analysis (RA), suitable integer bit-widths are assigned to the variables so that no
overflow occurs. Although the accuracy in RA rather than error analysis has more impact on …

… Another advantage of affine arithmetic is the inclusion of an approximation error term
which can be readily converted into upper and lower estimates of the conservatism within the …

… The usage of affine arithmetic might reduce this problem [3]. … comments and for pointing
out the relation to affine arithmetic. … Affine arithmetic: Concepts and applications. Numerical …

… To overcome the pessimistic bounds given by IA, Affine Arithmetic (AA)takes into account
the first order dependencies between variables [5]. Nevertheless, these techniques do not give …

… As part of future work, we intend to extend this work to support Monte-Carlo sampling-based
methods and integrate Affine Arithmetic models. Our framework is available for download …

… Overcoming this limitation, Affine Arithmetic was introduced (AA) which keeps first order
correlations between variables, [2]. This has been further improved by considering Arithmetic …

The computation of envelopes enclosing the possible states and/or outputs of a class of
uncertain linear dynamical systems is the subject of this paper. The resulting algorithm can be …

… Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing. …
Extensions of Affine Arithmetic: Application to Unconstrained Global Optimization. Journal of …

In this paper we propose an extension to interval arithmetic to include arithmetic with bivariate
sets, which allows for an initial dependency to be propagated, as well as the tracking of …

… Reference [2 6] introduces affine arithmetic theory to shorten the gap between the upper
and lower boundaries, based on interval algorithm. But multiplication and division operation of …