### tf.self_adjoint_eig(tensor, name=None)

See the guide: Math > Matrix Math Functions

Computes the eigen decomposition of a batch of self-adjoint matrices.

Computes the eigenvalues and eigenvectors of the innermost N-by-N matrices in tensor such that tensor[...,:,:] * v[..., :,i] = e[..., i] * v[...,:,i], for i=0...N-1.

#### Args:

• tensor: Tensor of shape [..., N, N]. Only the lower triangular part of each inner inner matrix is referenced.
• name: string, optional name of the operation.

#### Returns:

• e: Eigenvalues. Shape is [..., N].
• v: Eigenvectors. Shape is [..., N, N]. The columns of the inner most matrices contain eigenvectors of the corresponding matrices in tensor