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.:

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

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(nP) numpy.ndarray

A vector representing a set of model parameters

v(nP) numpy.ndarray

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