We study competitive economy equilibrium computation. We show that, for the first time, the equilibrium sets of the following two markets: 1. A mixed Fisher and Arrow-Debreu market with homogeneous ...

Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...

This repository contains two projects exploring numerical optimization techniques applied to different problems. The first project focuses on Newton’s method for solving equilibrium conditions, while ...

Abstract: In this article, we provide a novel and broadly applicable contraction-theoretic approach to continuous-time time-varying convex optimization. For any ...

Abstract: The control capability of boost-glide vehicle models controlled by the angle of attack and the sideslip angle is weak. Such vehicles' ascent trajectory optimization exhibits characteristics ...