tf.trace

Aliases:

• tf.linalg.trace
• tf.trace

tf.trace(
    x,
    name=None
)

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

See the guide: Math > Matrix Math Functions

Compute the trace of a tensor x.

trace(x) returns the sum along the main diagonal of each inner-most matrix in x. If x is of rank k with shape [I, J, K, ..., L, M, N], then output is a tensor of rank k-2 with dimensions [I, J, K, ..., L] where

output[i, j, k, ..., l] = trace(x[i, j, i, ..., l, :, :])

For example:

x = tf.constant([[1, 2], [3, 4]])
tf.trace(x)  # 5

x = tf.constant([[1, 2, 3],
                 [4, 5, 6],
                 [7, 8, 9]])
tf.trace(x)  # 15

x = tf.constant([[[1, 2, 3],
                  [4, 5, 6],
                  [7, 8, 9]],
                 [[-1, -2, -3],
                  [-4, -5, -6],
                  [-7, -8, -9]]])
tf.trace(x)  # [15, -15]

Args:

• x: tensor.
• name: A name for the operation (optional).

Returns:

The trace of input tensor.