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 ...

Abstract: This letter presents an effective optimization synthesis approach for orbital angular momentum (OAM) beams with low sidelobe and high mode purity through antenna array complex excitation ...

The assignment contains mathematical problems of the following types: 1.Optimization Theory Convergence analysis of gradient descent methods (Lipschitz continuous gradient) Properties of convex ...

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

This is a preview. Log in through your library . Abstract The numerical success of the alternating direction method of multipliers (ADMM) inspires much attention in analyzing its theoretical ...

In this note, we extend the algorithms Extra [13] and subgradient-push [10] to a new algorithm ExtraPush for consensus optimization with convex differentiable objective functions over a directed ...