论文标题
PSD锥的不良预测
Bad Projections of the PSD Cone
论文作者
论文摘要
线性映射下正半数矩阵锥的图像是凸锥。 Pataki表征了该图像未关闭的线性图集。这套集合的Zariski封闭是硕士的一个高表面。它的成分是对称确定性品种的共截相性超曲面。我们开发了这种不良预测的凸代数几何形状，重点是显式计算。
The image of the cone of positive semidefinite matrices under a linear map is a convex cone. Pataki characterized the set of linear maps for which that image is not closed. The Zariski closure of this set is a hypersurface in the Grassmannian. Its components are the coisotropic hypersurfaces of symmetric determinantal varieties. We develop the convex algebraic geometry of such bad projections, with focus on explicit computations.
