t3_add

t3toolbox.backend.t3_linalg.t3_add(x, y)

def t3_add(
        x: typ.Tuple[typ.Sequence[NDArray], typ.Sequence[NDArray]], # (tucker_cores_x, tt_cores_x)
        y: typ.Tuple[typ.Sequence[NDArray], typ.Sequence[NDArray]], # (tucker_cores_y, tt_cores_y)
) -> typ.Tuple[
    typ.Tuple[NDArray, ...],  # x_plus_y tucker_cores
    typ.Tuple[NDArray, ...],  # x_plus_y tt_cores
]:

Add Tucker tensor trains x and y, yielding a Tucker tensor train with summed ranks.

Parameters:

• x (t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray]])

• y (t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray]])

Return type:

t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis], t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis]]