NumpyTensorSpace._norm

NumpyTensorSpace._norm(x)

Return the norm of x.

This function is part of the subclassing API. Do not call it directly.

Parameters:

xNumpyTensor

Element whose norm is calculated.

Returns:

normfloat

Norm of the element.

Examples

Different exponents result in difference norms:

>>> space_2 = odl.rn(3, exponent=2)
>>> x = space_2.element([3, 0, 4])
>>> space_2.norm(x)
5.0
>>> space_1 = odl.rn(3, exponent=1)
>>> x = space_1.element([3, 0, 4])
>>> space_1.norm(x)
7.0

Weighting is supported, too:

>>> space_1_w = odl.rn(3, exponent=1, weighting=[2, 1, 1])
>>> x = space_1_w.element([3, 0, 4])
>>> space_1_w.norm(x)
10.0