On an implicit function theorem
Tadini, Wilson Mauricio;
On an implicit function theorem
Summary: J. C. Tougeron proved an implicit function theorem for germs of \(C^{\infty}\) functions \(f: R^ n\times R^ n\), \(0\to R,0\). We give conditions that generalize such theorem when \(f: R^ n\times R^ n\), \(0\to R^ q,0\) \((q\geq 1)\).
generalized implicit function theorem, Differentiable maps on manifolds, implicit function theorem, Theory of singularities and catastrophe theory, Implicit function theorems; global Newton methods on manifolds
generalized implicit function theorem, Differentiable maps on manifolds, implicit function theorem, Theory of singularities and catastrophe theory, Implicit function theorems; global Newton methods on manifolds