FunctionalSum

class odl.solvers.functional.functional.FunctionalSum(*args, **kwargs)

Bases: odl.solvers.functional.functional.Functional, odl.operator.operator.OperatorSum

Expression type for the sum of functionals.

FunctionalSum(func1, func2) == (x --> func1(x) + func2(x)).

Attributes

adjoint

Adjoint of this operator.

convex_conj

Convex conjugate functional of the functional.

domain

Set of objects on which this operator can be evaluated.

grad_lipschitz

Lipschitz constant for the gradient of the functional.

gradient

Gradient operator of functional sum.

inverse

Return the operator inverse.

is_functional

True if this operator’s range is a Field.

is_linear

True if this operator is linear.

left

The left/first part of this sum.

proximal

Proximal factory of the functional.

range

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

right

The left/second part of this sum.

Methods

_call(self, x[, out])	Implement self(x[, out]).
bregman(self, point, subgrad)	Return the Bregman distance functional.
derivative(self, point)	Return the derivative operator in the given point.
norm(self[, estimate])	Return the operator norm of this operator.
translated(self, shift)	Return a translation of the functional.

__init__(self, left, right)

Initialize a new instance.

Parameters

left, rightFunctional

The summands of the functional sum. Their Functional.domain and Functional.range must coincide.