1 citations · 1 across the 4 of their papers we have counts for
5 papers · 1 filter
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 by…
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…
Unifying Farkas lemma and S-lemma: new theory and applications in nonquadratic nonconvex optimization
Meijia Yang, Yong Xia, Shu Wang
We unify nonlinear Farkas lemma and S-lemma to a generalized alternative theorem for nonlinear nonconvex system. It provides fruitful applications in globally solving nonconvex non…
Chebyshev Center of the Intersection of Balls: Complexity, Relaxation and Approximation
Yong Xia, Meijia Yang, Shu Wang
We study the n-dimensional problem of finding the smallest ball enclosing the intersection of p given balls, the so-called Chebyshev center problem (CCB). It is a minimax optimizat…
A fast algorithm for globally solving Tikhonov regularized total least squares problem
Yong Xia, Longfei Wang, Meijia Yang
The total least squares problem with the general Tikhonov regularization can be reformulated as a one-dimensional parametric minimization problem (PM), where each parameterized fun…