scipy.optimize.check_grad(func, grad, x0, *args)[source]

Check the correctness of a gradient function by comparing it against a (forward) finite-difference approximation of the gradient.

Parameters :

func : callable func(x0,*args)

Function whose derivative is to be checked.

grad : callable grad(x0, *args)

Gradient of func.

x0 : ndarray

Points to check grad against forward difference approximation of grad using func.

args : *args, optional

Extra arguments passed to func and grad.

Returns :

err : float

The square root of the sum of squares (i.e. the 2-norm) of the difference between grad(x0, *args) and the finite difference approximation of grad using func at the points x0.

See also



The step size used for the finite difference approximation is sqrt(numpy.finfo(float).eps), which is approximately 1.49e-08.


>>> def func(x): return x[0]**2 - 0.5 * x[1]**3
>>> def grad(x): return [2 * x[0], -1.5 * x[1]**2]
>>> check_grad(func, grad, [1.5, -1.5])