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 ...

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 ...

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 ...

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 ...