Can someone clarify is this a convex optimization problem or not.
$min \| X-UV\|_{F}\quad $ s.t $ \quad U \geq ,V\geq0$ .
If not , what makes the problem non-convex?
2026-04-06 05:49:12.1775454552
is this a convex optimization problem?
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Nonconvex. Trivial way to show this is to consider the scalar case, and then simply study two points, and a point in-between. For instance, when $X=1$ two optimal solutions with objective value $0$ are $(1,1)$ and $(2,1/2)$. What is the objective value of the point in the middle of these solutions?