Matrix Norm

In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).

Frobenius Norm / Hibert-Schmidt Norm

The Frobenius Norm is given by $\Vert A{\Vert }_F=\sqrt{{\sum }_i^n{\sum }_j^n|a_{ij}{|}^2}$

Max Norm

The max norm is the element-wise norm in the limit as $p=q$ goes to infinity: $\Vert A{\Vert }_{max}={\max }_{ij}|a_{ij}|$