numpy.linalg.matrix_norm#
- linalg.matrix_norm(x, /, *, keepdims=False, ord='fro')[source]#
Computes the matrix norm of a matrix (or a stack of matrices)
x
.This function is Array API compatible.
- Parameters:
- xarray_like
Input array having shape (…, M, N) and whose two innermost dimensions form
MxN
matrices.- keepdimsbool, optional
If this is set to True, the axes which are normed over are left in the result as dimensions with size one. Default: False.
- ord{1, -1, 2, -2, inf, -inf, ‘fro’, ‘nuc’}, optional
The order of the norm. For details see the table under
Notes
innumpy.linalg.norm
.
See also
numpy.linalg.norm
Generic norm function
Examples
>>> from numpy import linalg as LA >>> a = np.arange(9) - 4 >>> a array([-4, -3, -2, ..., 2, 3, 4]) >>> b = a.reshape((3, 3)) >>> b array([[-4, -3, -2], [-1, 0, 1], [ 2, 3, 4]])
>>> LA.matrix_norm(b) 7.745966692414834 >>> LA.matrix_norm(b, ord='fro') 7.745966692414834 >>> LA.matrix_norm(b, ord=np.inf) 9.0 >>> LA.matrix_norm(b, ord=-np.inf) 2.0
>>> LA.matrix_norm(b, ord=1) 7.0 >>> LA.matrix_norm(b, ord=-1) 6.0 >>> LA.matrix_norm(b, ord=2) 7.3484692283495345 >>> LA.matrix_norm(b, ord=-2) 1.8570331885190563e-016 # may vary