Vector Norm

The length of a vector.




If p = 2, Euclidean Norm,

else if p = ∞, Max Norm.



Matrix Norm

The operator norms ||·||p defined from the p-vector norms are of special interest.

We define

.


The p-norms are consistent matrix norms which are subordinate to the p-vector norm.






Frobenius norm




Example



References