InnerProductOperator

class odl.operator.default_ops.InnerProductOperator(*args, **kwargs)

Bases: odl.operator.operator.Operator

Operator taking the inner product with a fixed space element.

Implements:

InnerProductOperator(y)(x) <==> y.inner(x)

This is only applicable in inner product spaces.

See also

DistOperator

Distance to a fixed space element.

NormOperator

Vector space norm as operator.

Attributes

T

Fixed vector of this operator.

adjoint

Adjoint of this operator.

domain

Set of objects on which this operator can be evaluated.

inverse

Return the operator inverse.

is_functional

True if this operator’s range is a Field.

is_linear

True if this operator is linear.

range

Set in which the result of an evaluation of this operator lies.

vector

Element to take the inner product with.

Methods

_call(self, x)	Return the inner product with x.
derivative(self, point)	Return the operator derivative at point.
norm(self[, estimate])	Return the operator norm of this operator.

__init__(self, vector)

Initialize a new instance.

Parameters

vectorLinearSpaceElement

The element to take the inner product with.

Examples

>>> r3 = odl.rn(3)
>>> x = r3.element([1, 2, 3])
>>> op = InnerProductOperator(x)
>>> op(r3.element([1, 2, 3]))
14.0