SimPEG.regularization.PGIsmallness.deriv2#
- PGIsmallness.deriv2(m, v=None)[source]#
Second derivative
- Parameters
m (numpy.ndarray) – geophysical model
v (numpy.ndarray) – vector to multiply
- Return type
- Returns
WtW, or if v is supplied WtW*v (numpy.ndarray)
The regularization is:
\[R(m) = \frac{1}{2}\mathbf{(m-m_\text{ref})^\top W^\top W(m-m_\text{ref})}\]So the second derivative is straight forward:
\[R(m) = \mathbf{W^\top W}\]