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arXiv · 2609.06088

Dynamical Systems and Nonconvex Quadratic Programs

Nguyen Nang Thieu
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Abstract

This paper studies a dynamical system approach for solving indefinite quadratic programming problems subject to linear constraints. We investigate the convergence of the trajectory generated by the system to a Karush-Kuhn-Tucker point of the quadratic programs. In addition, we derive an estimate for the distance between the trajectory and a solution of the problem. We further prove that the objective value is decreasing along the trajectory. An illustrative example and a numerical test are presented to demonstrate the behavior and performance of the proposed method.

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Nguyen Nang Thieu. 2026-09-05. Dynamical Systems and Nonconvex Quadratic Programs. https://arxiv.org/abs/2609.06088

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