# Multiply¶

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¶

$\mathtt{output}_{i_0, \ldots, i_{n-1}} = \mathtt{arg0}_{i_0, \ldots, i_{n-1}} \mathtt{arg1}_{i_0, \ldots, i_{n-1}}$

## Backprop¶

$\begin{split}\overline{\mathtt{arg0}} &\leftarrow \Delta\ \mathtt{arg1}\\ \overline{\mathtt{arg1}} &\leftarrow \Delta\ \mathtt{arg0}\end{split}$

## C++ Interface¶

class Multiply : public ngraph::op::util::BinaryElementwiseArithmetic

Elementwise multiplication operation.

Public Functions

const NodeTypeInfo &get_type_info() const

Returns the NodeTypeInfo for the node’s class. During transition to type_info, returns a dummy type_info for Node if the class has not been updated yet.

Multiply()

Constructs a multiplication operation.

Multiply(const Output<Node> &arg0, const Output<Node> &arg1, const AutoBroadcastSpec &auto_broadcast = AutoBroadcastSpec())

Constructs a multiplication operation.

Parameters
• arg0: Node that produces the first input tensor.
• arg1: Node that produces the second input tensor.
• auto_broadcast: Auto broadcast specification