2 papers
math.AP2025
Computing multiple solutions from knowledge of the critical set
Otavio Kaminski, Diego S. Monteiro, Carlos Tomei
{We explore a simple {\it geometric model} for functions between spaces of the same dimension (in infinite dimensions, we require that Jacobians be Fredholm operators of index zero…
math.NA2023
Using the critical set to induce bifurcations
O. Kaminski, D. S. Monteiro, C. Tomei
For a function between real Banach spaces, we show how continuation methods to solve may improve from basic understanding of the critical set of . Th…