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Relation between Frobenius norm, infinity norm and sum of maxima

$$\sum_{i=1}^n\max_{1\leq j\leq n} |A_{ij}|^2\gtrsim n$$ I cannot find a relation between matrix norms that can show this. …
horxio's user avatar
  • 105
7 votes
1 answer
6k views

Relation between Frobenius, spectral norm and sum of maxima

I cannot find a relation between matrix norms that can show this. The idea behind this question is that there are many singular values of $A$ that are $\Theta(1)$. Thanks! …
horxio's user avatar
  • 105