SimPEG.maps.Weighting.deriv#
- Weighting.deriv(m, v=None)[source]#
Derivative of mapping with respect to the input parameters.
For a weighting mapping \(\mathbf{u}(\mathbf{m})\) that scales the input parameters in the model \(\mathbf{m}\) by their corresponding weights \(\mathbf{w}\); i.e.:
\[\mathbf{u}(\mathbf{m}) = \mathbf{w} \dot \mathbf{m},\]the derivative of the mapping with respect to the model is a diagonal matrix of the form:
\[\frac{\partial \mathbf{u}}{\partial \mathbf{m}} = diag (\mathbf{w})\]- 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(
- Returns
scipy.sparse.csr_matrixDerivative of the mapping with respect to the model parameters. If the input argument v is not
None, the method returns the derivative times the vector v.