Path Following by SVD

Abstract

In this paper, we propose a path-following method for computing a curve of equilibria of a dynamical system, based upon the smooth Singular Value Decomposition (SVD) of the Jacobian matrix. Our method is capable of detecting fold points, and continuing past folds. It is also able to detect branch points and to switch branches at such points. Algorithmic details and examples are given.

DOI: 10.1007/11758549_92

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@inproceedings{Dieci2006PathFB, title={Path Following by SVD}, author={Luca Dieci and Maria Grazia Gasparo and Alessandra Papini}, booktitle={International Conference on Computational Science}, year={2006} }