3 problems

Let $z\boxtimes z$ denote the complex rank-one parameterization under consideration, with $z\in\mathbb{C}^n$, and consider the corresponding objective function on the complex param…

Let $f$ be a smooth function on a manifold whose critical set has submanifold structure, and consider situations more complicated than those covered by the preceding escape theorem…

Let $A$ be the measurement matrix in the manifold optimization problem … For $r>1$, the conjectured rank-awareness property is that the null space property for this manifold optimi…