In this paper, we study the problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of the optimization variable. This mathematical ...

Supports both constrained optimization. Automatically checks LICQ (Linear Independence Constraint Qualification). Includes examples for solving optimization problems, such as the Rosenbrock function ...

The alternating direction method of multipliers (ADMM) is applied to constrained quadratic optimization of intensity-modulated radiation therapy (IMRT) planning. The proximal operator for the ADMM ...

In this paper, we establish hardness and approximation results for various Lp-ball constrained homogeneous polynomial optimization problems, where p ∈ [2, ∞]. Specifically, we prove that for any given ...

The standard quadratic optimization problem (StQP) refers to the problem of minimizing a quadratic form over the standard simplex. Such a problem arises from numerous applications and is known to be ...

Overview This repository contains the implementation of Ergodic-Risk Constrained Policy Optimization for Linear Quadratic Regulation (LQR). The approach introduces an ergodic-risk criterion to capture ...

Everyone is welcome to attend the next N&O seminar with Alex L Wang with the title 'First-order methods for nonconvex quadratically constrained quadratic programs'. Abstract: Quadratically constrained ...