Performs a batch matrix-matrix product of matrices stored
in batch1
and batch2
,
with a reduced add step (all matrix multiplications get accumulated
along the first dimension).
input
is added to the final result.
batch1
and batch2
must be 3-D tensors each containing the
same number of matrices.
If batch1
is a \((b \times n \times m)\) tensor, batch2
is a
\((b \times m \times p)\) tensor, input
must be
broadcastable with a \((n \times p)\) tensor
and out
will be a \((n \times p)\) tensor.
$$
out = \beta\ \mbox{input} + \alpha\ (\sum_{i=0}^{b-1} \mbox{batch1}_i \mathbin{@} \mbox{batch2}_i)
$$
For inputs of type FloatTensor
or DoubleTensor
, arguments beta
and alpha
must be real numbers, otherwise they should be integers.