"Entrywise" Norms
These vector norms treat an matrix as a vector of size, and use one of the familiar vector norms.
For example, using the p-norm for vectors, we get:
This is a different norm from the induced p-norm (see above) and the Schatten p-norm (see below), but the notation is the same.
The special case p = 2 is the Frobenius norm, and p = ∞ yields the maximum norm.
Read more about this topic: Matrix Norm
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