.. multiply.rst: ######## Multiply ######## .. code-block:: cpp Multiply // Elementwise multiply operation Description =========== Produces tensor of the same element type and shape as the two inputs, where the value at each coordinate of ``output`` is the product of the values at the corresponding input coordinates. Inputs ------ +-----------------+-------------------------+--------------------------------+ | Name | Element Type | Shape | +=================+=========================+================================+ | ``arg0`` | any | any | +-----------------+-------------------------+--------------------------------+ | ``arg1`` | same as ``arg0`` | same as ``arg0`` | +-----------------+-------------------------+--------------------------------+ Outputs ------- +-----------------+-------------------------+--------------------------------+ | Name | Element Type | Shape | +=================+=========================+================================+ | ``output`` | same as ``arg0`` | same as ``arg0`` | +-----------------+-------------------------+--------------------------------+ Mathematical Definition ======================= .. math:: \mathtt{output}_{i_0, \ldots, i_{n-1}} = \mathtt{arg0}_{i_0, \ldots, i_{n-1}} \mathtt{arg1}_{i_0, \ldots, i_{n-1}} Backprop ======== .. math:: \overline{\mathtt{arg0}} &\leftarrow \Delta\ \mathtt{arg1}\\ \overline{\mathtt{arg1}} &\leftarrow \Delta\ \mathtt{arg0} C++ Interface ============= .. doxygenclass:: ngraph::op::v0::Multiply :project: ngraph :members: