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(
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
- m(