tensorly.tenalg.multi_mode_dot

multi_mode_dot(tensor, matrix_or_vec_list, modes=None, skip=None, transpose=False)[source]

n-mode product of a tensor and several matrices or vectors over several modes

Parameters:

tensorndarray

matrix_or_vec_listlist of matrices or vectors of length tensor.ndim

skipNone or int, optional, default is None

If not None, index of a matrix to skip. Note that in any case, modes, if provided, should have a length of tensor.ndim

modesNone or int list, optional, default is None

transposebool, optional, default is False

If True, the matrices or vectors in in the list are transposed. For complex tensors, the conjugate transpose is used.

Returns:

ndarray

tensor times each matrix or vector in the list at mode mode

See also

mode_dot

Notes

If no modes are specified, just assumes there is one matrix or vector per mode and returns:

\(\text{tensor }\times_0 \text{ matrix or vec list[0] }\times_1 \cdots \times_n \text{ matrix or vec list[n] }\)