4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
A Numerical Algorithm for Ambrosetti-Prodi Type Operators
J. Cal Neto, C. Tomei
We consider the numerical solution of the equation - Δu - f(u) = g, for the unknown u satisfying Dirichlet conditions in a bounded domain. The nonlinearity f has bounded, continuou…
Spectral Transformation Algorithms for Computing Unstable Modes of Large Scale Power Systems
L. H. Bezerra, C. Tomei
In this paper we describe spectral transformation algorithms for the computation of eigenvalues with positive real part of sparse nonsymmetric matrix pencils , where is…