Interval Newton operators for function strips (Q1090073)

A mapping \(G: D\subset {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) with \(G(x)=[\underline g(x),\bar g(x)]\) is called a function strip. The set \(x^*=\{x\in D|\) \b{g}(x)\(\leq 0\leq \bar g(x)\}\) is called the zero set of G. Using the interval Newton operator inclusions for the zero set and a convergence theorem for interval iterations are proved.