LinCombOperator

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

Bases: odl.operator.operator.Operator

Operator mapping two space elements to a linear combination.

Implements:

LinCombOperator(a, b)([x, y]) == a * x + b * y

Attributes

adjoint

Adjoint of this operator (abstract).

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.

Methods

_call(self, x[, out])	Linearly combine x and write to out if given.
derivative(self, point)	Return the operator derivative at point.
norm(self[, estimate])	Return the operator norm of this operator.

__init__(self, space, a, b)

Initialize a new instance.

Parameters

spaceLinearSpace

Space of elements which the operator is acting on.

a, bspace.field elements

Scalars to multiply x[0] and x[1] with, respectively.

Examples

>>> r3 = odl.rn(3)
>>> r3xr3 = odl.ProductSpace(r3, r3)
>>> xy = r3xr3.element([[1, 2, 3], [1, 2, 3]])
>>> z = r3.element()
>>> op = LinCombOperator(r3, 1.0, 1.0)
>>> op(xy, out=z)  # Returns z
rn(3).element([ 2.,  4.,  6.])
>>> z
rn(3).element([ 2.,  4.,  6.])