BroadcastOperator

class odl.operator.pspace_ops.BroadcastOperator(*args, **kwargs)

Bases: Operator

Broadcast argument to set of operators.

An argument is broadcast by evaluating several operators in the same point:

BroadcastOperator(op1, op2)(x) = [op1(x), op2(x)]

See also

ProductSpaceOperator

More general case, used as backend.

ReductionOperator

Calculates sum of operator results.

DiagonalOperator

Case where each operator should have its own argument.

Attributes:

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.

operators

Tuple of sub-operators that comprise self.

prod_op

ProductSpaceOperator implementation.

range

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

size

Total number of sub-operators.

Methods

__call__(x[, out])	Return self(x[, out, **kwargs]).
derivative(x)	Derivative of the broadcast operator.
norm([estimate])	Return the operator norm of this operator.

__init__(*operators)

Initialize a new instance

Parameters:

operator1,...,operatorNOperator or int

The individual operators that should be evaluated. Can also be given as operator, n with n integer, in which case operator is repeated n times.

Examples

Initialize an operator:

>>> I = odl.IdentityOperator(odl.rn(3))
>>> op = BroadcastOperator(I, 2 * I)
>>> op.domain
rn(3)
>>> op.range
ProductSpace(rn(3), 2)

Evaluate the operator:

>>> x = [1, 2, 3]
>>> op(x)
ProductSpace(rn(3), 2).element([
    [ 1.,  2.,  3.],
    [ 2.,  4.,  6.]
])

Can also initialize by calling an operator repeatedly:

>>> I = odl.IdentityOperator(odl.rn(3))
>>> op = BroadcastOperator(I, 2)
>>> op.operators
(IdentityOperator(rn(3)), IdentityOperator(rn(3)))