SimPEG.maps.ParametricPolyMap.deriv#
- ParametricPolyMap.deriv(m, v=None)[source]#
Derivative of the mapping with respect to the model.
For a model \(\mathbf{m} = [\sigma_1, \sigma_2, \mathbf{c}]\), the derivative of the mapping with respect to the model parameters is a
numpy.ndarrayof shape (mesh.nC, nP) of the form:\[\frac{\partial \mathbf{u}}{\partial \mathbf{m}} = \Bigg [ \frac{\partial \mathbf{u}}{\partial \sigma_0} \;\; \Bigg [ \frac{\partial \mathbf{u}}{\partial \sigma_1} \;\; \Bigg [ \frac{\partial \mathbf{u}}{\partial c_0} \;\; \Bigg [ \frac{\partial \mathbf{u}}{\partial c_1} \;\; \cdots \;\; \Bigg [ \frac{\partial \mathbf{u}}{\partial c_N} \Bigg ]\]- 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.