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For questions involving the concept of convexity

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Prove the optimal solution to maximizing nuclear norm with constraints is attained at corner...

The nuclear norm (trace norm) of a matrix $X \in \Bbb R^{m \times n}$ is defined as $$\|X\|_* := \sum_{i=1}^{\min(m,n)} \sigma_i(X)$$ where $\sigma_i(X)$ are the singular values of $X$. The optimizat …
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