Computes the norm of vectors, matrices, and tensors.
tf.norm(
tensor, ord='euclidean', axis=None, keepdims=None, name=None
)
This function can compute several different vector norms (the 1norm, the
Euclidean or 2norm, the infnorm, and in general the pnorm for p > 0) and
matrix norms (Frobenius, 1norm, 2norm and infnorm).
Args 
tensor

Tensor of types float32 , float64 , complex64 , complex128

ord

Order of the norm. Supported values are 'fro' , 'euclidean' ,
1 , 2 , np.inf and any positive real number yielding the corresponding
pnorm. Default is 'euclidean' which is equivalent to Frobenius norm if
tensor is a matrix and equivalent to 2norm for vectors.
Some restrictions apply:
a) The Frobenius norm 'fro' is not defined for vectors,
b) If axis is a 2tuple (matrix norm), only 'euclidean' , 'fro' , 1 ,
2 , np.inf are supported.
See the description of axis on how to compute norms for a batch of
vectors or matrices stored in a tensor.

axis

If axis is None (the default), the input is considered a vector
and a single vector norm is computed over the entire set of values in the
tensor, i.e. norm(tensor, ord=ord) is equivalent to
norm(reshape(tensor, [1]), ord=ord) .
If axis is a Python integer, the input is considered a batch of vectors,
and axis determines the axis in tensor over which to compute vector
norms.
If axis is a 2tuple of Python integers it is considered a batch of
matrices and axis determines the axes in tensor over which to compute
a matrix norm.
Negative indices are supported. Example: If you are passing a tensor that
can be either a matrix or a batch of matrices at runtime, pass
axis=[2,1] instead of axis=None to make sure that matrix norms are
computed.

keepdims

If True, the axis indicated in axis are kept with size 1.
Otherwise, the dimensions in axis are removed from the output shape.

name

The name of the op.

Returns 
output

A Tensor of the same type as tensor, containing the vector or
matrix norms. If keepdims is True then the rank of output is equal to
the rank of tensor . Otherwise, if axis is none the output is a scalar,
if axis is an integer, the rank of output is one less than the rank
of tensor , if axis is a 2tuple the rank of output is two less
than the rank of tensor .

Raises 
ValueError

If ord or axis is invalid.

numpy compatibility
Mostly equivalent to numpy.linalg.norm.
Not supported: ord <= 0, 2norm for matrices, nuclear norm.
Other differences:
a) If axis is None
, treats the flattened tensor
as a vector
regardless of rank.
b) Explicitly supports 'euclidean' norm as the default, including for
higher order tensors.