MultiplyOperator.adjoint

property MultiplyOperator.adjoint

Adjoint of this operator.

Returns:

adjointInnerProductOperator or MultiplyOperator

If the domain of this operator is the scalar field of a LinearSpace the adjoint is the inner product with y, else it is the multiplication with y.

Examples

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

Multiply by a space element:

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

Multiply scalars with a fixed vector:

>>> op2 = MultiplyOperator(x, domain=r3.field)
>>> op2.adjoint(x)
14.0

Multiply vectors with a fixed scalar:

>>> op2 = MultiplyOperator(3.0, domain=r3, range=r3)
>>> op2.adjoint(x)
rn(3).element([ 3.,  6.,  9.])

Multiplication operator with complex space:

>>> c3 = odl.cn(3)
>>> x_complex = c3.element([1, 1j, 1-1j])
>>> op3 = MultiplyOperator(x_complex)
>>> op3.adjoint.multiplicand
cn(3).element([ 1.-0.j,  0.-1.j,  1.+1.j])