Estimating the radius of an attraction ball

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

local convergence

assuming a solution exists, one gives conditions such that iterates chosen sufficiently close to that solution converge to that solution.

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