tf.matrix_diag(diagonal, name=None)

tf.matrix_diag(diagonal, name=None)

See the guide: Math > Matrix Math Functions

Returns a batched diagonal tensor with a given batched diagonal values.

Given a diagonal, this operation returns a tensor with the diagonal and everything else padded with zeros. The diagonal is computed as follows:

Assume diagonal has k dimensions [I, J, K, ..., N], then the output is a tensor of rank k+1 with dimensions [I, J, K, ..., N, N]` where:

output[i, j, k, ..., m, n] = 1{m=n} * diagonal[i, j, k, ..., n].

For example:

# 'diagonal' is [[1, 2, 3, 4], [5, 6, 7, 8]]

and diagonal.shape = (2, 4)

tf.matrix_diag(diagonal) ==> [[[1, 0, 0, 0]
                                     [0, 2, 0, 0]
                                     [0, 0, 3, 0]
                                     [0, 0, 0, 4]],
                                    [[5, 0, 0, 0]
                                     [0, 6, 0, 0]
                                     [0, 0, 7, 0]
                                     [0, 0, 0, 8]]]

which has shape (2, 4, 4)

Args:

  • diagonal: A Tensor. Rank k, where k >= 1.
  • name: A name for the operation (optional).

Returns:

A Tensor. Has the same type as diagonal. Rank k+1, with output.shape = diagonal.shape + [diagonal.shape[-1]].

Defined in tensorflow/python/ops/gen_array_ops.py.