Author

Boshi Yang

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Preprint Aug 2026

Nonnegative Quadratics over a Quadrant with a Bilinear Constraint

We study quadratic polynomials that are nonnegative on the non-compact set \[ F:=\{(x_1,x_2)\in\mathbb R^2:\ x_1\ge 0,\ x_2\ge 0,\ x_1x_2\le 1\}. \] All extreme rays of the cone of nonnegative quadratic polynomials are characterized on this set. The characterization allows us to study parameterized valid inequalities f...

Yipeng Zhang, Yu-Yuan Ouyang, Boshi Yang · 1 citation

Preprint Aug 2026

Quadratic Convexification of a Square Truncated by a Hyperbola

We study the quadratic convexification of the compact nonconvex set ${G} := \left[1/2,2\right]^2 \cap \{(x_1,x_2)\in\mathbb R^2\mid x_1x_2\leq1\}, $ which is a square truncated by a hyperbolic arc. Although the ordinary convex hull of ${G}$ is a triangle, its lifted convex hull in the complete quadratic space retains t...

Yipeng Zhang, Yu-Yuan Ouyang, Boshi Yang · 0 citations