 
 
 
5.44.1  Norms of a vector : maxnorm l1norm l2norm
norm
The instructions to compute the different norm of a vector are :
- 
maxnorm returns the l∞ norm of a
vector, 
defined as the maximum of the absolute values of its 
coordinates.
 Input :maxnorm([3,-4,2]) Output :4 Indeed : x=3, y=-4, z=2 and 4=max(|x|,|y|,|z|).
- l1norm returns the l1 norm of a 
vector defined as the sum of the absolute values of its 
coordinates.
 Input :l1norm([3,-4,2]) Output :9 Indeed : x=3, y=-4, z=2 and 9=|x|+|y|+|z|.
- norm or l2norm returns the 
l2 norm of a vector defined as the square root 
of the sum of the squares of its 
coordinates.
 Input :norm([3,-4,2]) Output :sqrt(29) Indeed : x=3, y=-4, z=2 and  29=|x|2+|y|2+|z|2.
 
 
