论文标题
完全阳性张量的非原子化
Dehomogenization for Completely Positive Tensors
论文作者
论文摘要
如果它是非负矢量的对称张量幂之和，则真实的对称张量是完全正（CP）。我们提出了一种用于研究CP张量的非原子化方法。这为CP张量提供了新的Momks Sos放松。可以通过非原子化方法来更有效地求解CP张量和用CP张量锥的线性圆锥优化的检测。
A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors. Detection for CP tensors and the linear conic optimization with CP tensor cones can be solved more efficiently by the dehomogenization approach.
