Operator ( .* )

static member ( .* ): Tensor<'T> * Tensor<'T> -> Tensor<'T>

Computes the (batched) matrix product, (batched) matrix-vector product or scalar product.

Declaration
static member ( .* ): a:Tensor<'T> * b:Tensor<'T> -> Tensor<'T>
Parameters
Type Name Description
Tensor<'T> a

The tensor on the left side of this binary operation.
Tensor<'T> b

The tensor on the right side of this binary operation.
Returns
Type Description
Tensor<'T>

A new tensor containing the result of this operation.
Remarks

If a and b are vectors of the same length, then the scalar product is computed. The result is a scalar.

If a is a matrix and b is a vector of compatible shape, then the matrix-vector product is computed. The result is a vector.

If both a and b are matrices of compatibles shapes, then the matrix product is computed. The result is a matrix.

If a is a tensor of shape [b_1; ...; b_n; i; j] and b is a tensor of shape [b_1; ...; b_n; j], then the batched matrix-vector product is computed resulting in a tensor of shape [b_1; ...; b_n; i]. Broadcasting rules apply for the batch dimensions.

If a is a tensor of shape [b_1; ...; b_n; i; j] and b is a tensor of shape [b_1; ...; b_n; j; k], then the batched matrix product is computed resulting in a tensor of shape [b_1; ...; b_n; i; k]. Broadcasting rules apply for the batch dimensions.

Examples
 // Scalar product
 let a = HostTensor.ofList [5.0; 6.0; 7.0]
 let b = HostTensor.ofList [2.0; 3.0; 4.0]
 let c = a .* b // c = [56.0]

 // Matrix-vector product
 let a = HostTensor.ofList2D [[5.0; 6.0; 7.0]
                              [8.0; 9.0; 0.0]]
 let b = HostTensor.ofList [2.0; 3.0; 4.0]
 let c = a .* b // c = [56.0; 43.0]

 // Matrix product
 let a = HostTensor.ofList2D [[5.0; 6.0; 7.0]
                              [8.0; 9.0; 0.0]]
 let b = HostTensor.ofList2D [[2.0; 1.0] 
                              [3.0; 1.0]
                              [4.0; 1.0]]
 let c = a .* b // c = [[56.0; 18.0] 
                //      [43.0; 17.0]]
See Also