jax.numpy.linalg.tensorsolve

jax.numpy.linalg.tensorsolve(a, b, axes=None)

Solve the tensor equation a x = b for x.

LAX-backend implementation of numpy.linalg.tensorsolve().

Original docstring below.

It is assumed that all indices of x are summed over in the product, together with the rightmost indices of a, as is done in, for example, tensordot(a, x, axes=x.ndim).

Parameters:

• a (array_like) – Coefficient tensor, of shape b.shape + Q. Q, a tuple, equals the shape of that sub-tensor of a consisting of the appropriate number of its rightmost indices, and must be such that prod(Q) == prod(b.shape) (in which sense a is said to be ‘square’).

• b (array_like) – Right-hand tensor, which can be of any shape.

• axes (tuple of ints, optional) – Axes in a to reorder to the right, before inversion. If None (default), no reordering is done.

Returns:

x

Return type:

ndarray, shape Q