… in affine arithmetic, and explain how to compute with them. In section 4 we discuss examples
of how affine arithmetic … interval arithmetic and affine arithmetic is given in section 5. …

… There is a vast literature on affine arithmetic, see [3] and … In this paper we discuss some
improvements of affine arithmetic … In our affine arithmetic the result can never be worse than …

… , affine arithmetic has been proposed as an enhancement of interval arithmetic [2]. Affine
arithmetic offers … Next, the advantages of affine arithmetic are illustrated with three case studies …

… one particular such model, affine arithmetic [5], which has … Affine arithmetic (AA) is one of
several SVC models that were … for each ideal quantity, affine arithmetic also keeps track of …

… Some new efficient inclusion functions based on affine arithmetic are presented in this
paper. In order to prove that the dependency problem and the clustering problem are strongly …

… To address this problem, this paper proposes a new solution methodology based on the
use of affine arithmetic, which is an enhanced model for self-validated numerical analysis in …

… In this work, we use a static analysis technique via affine arithmetic [6] to optimize both … error
models for fixed-point designs using affine arithmetic (Section 3). • Range optimization using …

… 2.2 Affine Arithmetic The modeling tool in this paper is affine arithmetic, which is an efficient
… its predecessor, interval arithmetic, and then emphasize the advantage of affine arithmetic. …

… We first give a brief overview of affine arithmetic in general … In this paper we use affine
arithmetic to obtain conservative … than the bounds produced by affine arithmetic. Figure 6 shows …

… In contrast, affine arithmetic also describes the dependence of … In the above simple example,
both Hansen’s and affine arithmetic lead … In affine arithmetic, we represent the error of each …