Mengmeng Song

most citedOn Local Minimizers of Quadratically Constrained Nonconvex Homogeneous Quadratic Optimization with at Most Two Constraints

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.OC2021

Local Optimality Conditions for a Class of Hidden Convex Optimization

Mengmeng Song, Yong Xia, Hongying Liu

Hidden convex optimization is such a class of nonconvex optimization problems that can be globally solved in polynomial time via equivalent convex programming reformulations. In th…

math.OC2021★ 1 cited

On Local Minimizers of Quadratically Constrained Nonconvex Homogeneous Quadratic Optimization with at Most Two Constraints

Mengmeng Song, Hongying Liu, Yong Xia

We study nonconvex homogeneous quadratically constrained quadratic optimization with one or two constraints, denoted by (QQ1) and (QQ2), respectively. (QQ2) contains (QQ1), trust r…

math.OC2019

A unified approach for projections onto the intersection of $ℓ_{1}$ and $ℓ_{2}$ balls or spheres

Hongying Liu, Hao Wang, Mengmeng Song

This paper focuses on designing a unified approach for computing the projection onto the intersection of an $ℓ_{1}$ ball/sphere and an $ℓ_{2}$ ball/sphere. We show that the major…

Local Optimality Conditions for a Class of Hidden Convex Optimization

On Local Minimizers of Quadratically Constrained Nonconvex Homogeneous Quadratic Optimization with at Most Two Constraints

A unified approach for projections onto the intersection of ℓ1​ and ℓ2​ balls or spheres

A unified approach for projections onto the intersection of $ℓ_{1}$ and $ℓ_{2}$ balls or spheres