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Results tagged with matrices
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user 138033
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
7
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1
answer
6k
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Relation between Frobenius, spectral norm and sum of maxima
Let $A$ be a $n \times n$ matrix so that the Frobenius norm squared $\|A\|_F^2$ is $\Theta(n)$, the spectral norm squared $\|A\|_2^2=1$. Is it true that $\sum_{i=1}^n\max_{1\leq j\leq n} |A_{ij}|^2$ i …
- 105
3
votes
1
answer
2k
views
Relation between Frobenius norm, infinity norm and sum of maxima
Let $A$ be a sequence of $n \times n$ matrices so that the Frobenius norm squared satisfies $\|A\|_F^2 \simeq n$ and the infinity norm squared is $\|A\|_{\infty}^2 = 1$. Is the following true? …
- 105