Strong Duality Thresholds and Minimum Curvature for the Nearest Rectangular Symplectic Matrix Problem

Yulin Xie, Aiqing Zhu, Yifa Tang

We study the nearest rectangular symplectic matrix problem in the squared Frobenius norm for arbitrary targets $T\in {\mathbb{R}}^{2n\times 2k}$, with $n\ge k$. We prove that its semide…