LpNorm

class odl.functionals.default_functionals.LpNorm(*args, **kwargs)[source]

The functional corresponding to the Lp-norm.

Notes

If the functional is defined on an $\mathbb{R}^n$ -like space, the $\| \cdot \|_p$ -norm is defined as

$\| x \|_p = \left(\sum_{i=1}^n |x_i|^p \right)^{1/p}.$

If the functional is defined on an $L_2$ -like space, the $\| \cdot \|_p$ -norm is defined as

$\| x \|_p = \left(\int_\Omega |x(t)|^p dt. \right)^{1/p}$

__init__(space, exponent)[source]

Initialize a new instance.