Entrywise maximum norm (source code)

= Entrywise maximum norm
{title2=$\|A\|_{\max}=\max_{j,k}|A_{jk}|$}

The entrywise maximum norm is the largest absolute value of a matrix entry. For compatible vectors $x$ and $y$,
$$
|x^TAy|\leq\|A\|_{\max}\|x\|_1\|y\|_1.
$$