OperatorVectorSum¶

class odl.operator.operator.OperatorVectorSum(*args, **kwargs)[source]¶

Bases: odl.operator.operator.Operator

Operator that computes op(x) + y.

OperatorVectorSum(op, y)(x) == op(x) + 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.
operator: The operator to apply.
range: Set in which the result of an evaluation of this operator lies.
vector: The constant operator range element to add.

Methods

`_call`(self, x[, out])	Evaluate the residual at `x` and write to `out` if given.
`derivative`(self, point)	Derivative the operator vector sum.
`norm`(self[, estimate])	Return the operator norm of this operator.

__init__(self, operator, vector)[source]¶

Initialize a new instance.

Parameters

operatorOperator: Operator to be used in the sum. Its Operator.range must be a LinearSpace.
vectoroperator.range element-like: Vector to be added to the operator result.

Examples

>>> r3 = odl.rn(3)
>>> y = r3.element([1, 2, 3])
>>> ident_op = odl.IdentityOperator(r3)
>>> sum_op = odl.OperatorVectorSum(ident_op, y)
>>> x = r3.element([4, 5, 6])
>>> sum_op(x)
rn(3).element([ 5.,  7.,  9.])