3 papers
math.OC2026
A Homogeneous Tensor Framework for High-Order Trust-Region and Spherical Polynomial Optimization
Wenqi Zhu, Haibin Chen, Guanglu Zhou
High-order methods can improve worst-case evaluation complexity, but for orders their Taylor subproblems are nonconvex polynomial optimization problems and are generally d…
math.OC2026
Completely Positive Reformulations of Polynomial Optimization Problems with Linear Inequality Constraints
Haibin Chen, Hong Yan, Guanglu Zhou
Polynomial optimization encompasses a broad class of problems in which both the objective function and constraints are polynomial functions of the decision variables. In recent yea…
math.OC2025
Tensor Based Proximal Alternating Minimization Method for A Kind of Inhomogeneous Quartic Optimization Problem
Haibin Chen, Yixuan Chen, Chunyan Wang +1
In this paper, we propose an efficient numerical approach for solving a specific type of quartic inhomogeneous polynomial optimization problem inspired by practical applications. T…