Let $A$ be a non-negative symmetric $n\times n$ matrix, and let $\mathbb{R}_n^+$ be the set of non-negative $n$-columns. Is the set $\{x \in \mathbb{R}_n^+: x\cdot x^T-A\succeq0\}$ convex? Here $\succeq0$ means "positive semidefinite".
2026-04-03 04:21:04.1775190064
Is the set of Perron vectors of rank-1 matrix majorizers convex?
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