3 papers
math.OC2026
Global optimization of quadratic root-difference minimization under elliptic annulus constraints
Meijia Yang, Yong Xia
This paper studies the nonconvex quadratic root-difference minimization under elliptic annulus constraints {\rm (QR)}. We first establish the Annulus Brickman theorem and equivalen…
math.OC2024
A polynomially solvable case of unconstrained (-1,1)-quadratic fractional optimization
Meijia Yang, Yong Xia
In this paper, we consider an unconstrained (-1,1)-quadratic fractional optimization in the following form: , where and , given…
math.OC2024
Closing the duality gap of the generalized trace ratio problem
Meijia Yang, Yong Xia
The generalized trace ratio problem {\rm (GTRP)} is to maximize a quadratic fractional objective function in trace formulation over the Stiefel manifold. In this paper, based on a…