Year: 2017
Type: article
Abstract: We explore how to build a vector field from the various functions involved in a given mathematical programme, and show that equilibria of the corresponding dynamical system are precisely the solutions of the underlying optimality conditions for the original optimization problem. The general situation in which explicit inequality constraints are present is especially interesting as the vector field has to be discontinuous, and so one is led to consider discontinuous dynamical systems and their equilibria.
Source: Dynamical Systems
Author: Pablo Pedregal
Institution: University of Castilla-La Mancha
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Awards: G3516626338, G7691494083
OpenAlex ID: W1538713251