论文标题
磁盘矩阵和数值半径的近端映射
Disk matrices and the proximal mapping for the numerical radius
论文作者
论文摘要
涉及基质数值半径的问题的最佳矩阵通常具有磁盘值字段，这是与部分平滑度相关的现象。这样的矩阵是高度结构化的：我们特别在半径的近端映射中进行了实验，该矩阵通常将N-B随机矩阵输入映射到具有真实的consimimension 2n的特定磁盘矩阵中。通过半决赛编程计算的输出也满足了最优性的异常排名属性。
Optimal matrices for problems involving the matrix numerical radius often have fields of values that are disks, a phenomenon associated with partial smoothness. Such matrices are highly structured: we experiment in particular with the proximal mapping for the radius, which often maps n-by-n random matrix inputs into a particular manifold of disk matrices that has real codimension 2n. The outputs, computed via semidefinite programming, also satisfy an unusual rank property at optimality.
