Frobenius Norm

Definition

Let $A$ be an $m\times n$ matrix, then the Frobenius norm of $A$ is defined as $||A|{|}_F={\left({\sum }_{i=1}^m{\sum }_{h=1}^n|a_{ij}{|}^2\right)}^{1/2}=\sqrt{\mathrm{tr}(A^{†}A)}$