An upper and a lower bound for the distance of a manifold to a nearby point
The author uses a generalization of the Newton-Kantorovich theorem for underdetermined systems in Hilbert spaces to give upper and lower bounds for the distance of a point, say 0, to a nearby manifold \(S=\{x\in X\mid f(x)=0\}\). An example is shown.
scientific article; zbMATH DE number 4164041