SimPEG.maps.SurjectFull.deriv#

SurjectFull.deriv(m, v=None)[source]#

Derivative of the mapping with respect to the input parameters.

Let $$m$$ be the single parameter that the mapping acts on. The SurjectFull class constructs a mapping that can be defined as a projection matrix $$\mathbf{P}$$; i.e.:

$\mathbf{u} = \mathbf{P m},$

the deriv method returns the derivative of $$\mathbf{u}$$ with respect to the model parameters; i.e.:

$\frac{\partial \mathbf{u}}{\partial \mathbf{m}} = \mathbf{P}$

Note that in this case, deriv simply returns the original operator $$\mathbf{P}$$; a (mesh.nC , 1) numpy.ndarray of 1s.

Parameters
m

A vector representing a set of model parameters

v

If not None, the method returns the derivative times the vector v