ABSTRACT
Suppose we are given a homogeneous EIAVk =TVk−1, k≥1, and that the contractive operator T is to be approximated. Suppose next that there exists an indexed family of approximate operators Tτ , where τ is some natural approximation parameter, such as grid size or sample size. In this case any AIA is defined by a sequence τk by defining a sequence of approximate operators Tˆk =Tτk . If operator tolerance can be expressed in terms of τ , then the convergence properties of the AIA may be determined by the theory of Chaper 10.
