Vector Norms |
Hereinafter the following convention is used:
– small Greek letters are used to denote scalars;
– small Latin letters are used to denote vectors;
– capital Latin letters are used to denote matrices.
This topic contains the following sections:
MethodsThis section describes methods applied to compute vector norm.
Operation | Description | Performance |
|---|---|---|
L1 norm (Taxicab norm, Manhattan norm) | Computes the L1 norm of the vector.  | |
L2 norm (Euclidean norm) | Computes the L2 norm of the vector.  | |
p-norm | Computes the p-norm of the vector.  | |
infinity norm | Computes the infinity norm of the vector.  |
Besides there is a common method Norm that allows to specify the desirable vector norm as a parameter. It compute any of the L1, L2 or infinity norm of the vector.
See Also