MultiplyOperator

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

Bases: Operator

Operator multiplying by a fixed space or field element.

Implements:

MultiplyOperator(y)(x) == x * y

Here, y is a LinearSpaceElement or Field element and x is a LinearSpaceElement. Hence, this operator can be defined either on a LinearSpace or on a Field. In the first case it is the pointwise multiplication, in the second the scalar multiplication.

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.

multiplicand

Value to multiply by.

range

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

Methods

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

__init__(multiplicand, domain=None, range=None)

Initialize a new instance.

Parameters:

multiplicandLinearSpaceElement or scalar

Value to multiply by.

domainLinearSpace or Field, optional

Set to which the operator can be applied. Default: multiplicand.space.

rangeLinearSpace or Field, optional

Set to which the operator maps. Default: multiplicand.space.

Examples

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

Multiply by vector:

>>> op = MultiplyOperator(x)
>>> op(x)
rn(3).element([ 1.,  4.,  9.])
>>> out = r3.element()
>>> op(x, out)
rn(3).element([ 1.,  4.,  9.])

Multiply by scalar:

>>> op2 = MultiplyOperator(x, domain=r3.field)
>>> op2(3)
rn(3).element([ 3.,  6.,  9.])
>>> out = r3.element()
>>> op2(3, out)
rn(3).element([ 3.,  6.,  9.])