62 citations · 104 across the 27 of their papers we have counts for
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Strong Duality for Generalized Trust Region Subproblem: S-Lemma with Interval Bounds
Shu Wang, Yong Xia
With the help of the newly developed S-lemma with interval bounds, we show that strong duality holds for the interval bounded generalized trust region subproblem under some mild as…
On Local Convexity of Quadratic Transformations
Yong Xia
In this paper, we improve Polyak's local convexity result for quadratic transformations. Extension and open problems are also presented.
S-Lemma with Equality and Its Applications
Yong Xia, Shu Wang, Ruey-Lin Sheu
Let and be two quadratic functions having symmetric matrices and . The S-lemma with equality asks when the unsolvability of the sys…
An SDP Approach For Solving Quadratic Fractional Programming Problems
Van-Bong Nguyen, Ruey-Lin Sheu, Yong Xia
This paper considers a fractional programming problem (P) which minimizes a ratio of quadratic functions subject to a two-sided quadratic constraint. As is well-known, the fraction…
A Mixed-Binary Convex Quadratic Reformulation for Box-Constrained Nonconvex Quadratic Integer Program
Yong Xia, Ying-Wei Han
In this paper, we propose a mixed-binary convex quadratic programming reformulation for the box-constrained nonconvex quadratic integer program and then implement IBM ILOG CPLEX 12…