simpeg.objective_function.ComboObjectiveFunction.W#

property ComboObjectiveFunction.W#

Full weighting matrix for the combo objective function.

Consider a composite objective function :math`phi` that is a weighted sum of objective functions ${\varphi }_i$ with multipliers $c_i$ such that

$$\varphi =\sum _{i=1}^N{c}_i{\varphi }_i=\sum _{i=1}^N\frac{c_i}{2}\Vert {\mathbf{W}}_i{f}_i(\mathbf{m}){\Vert }_2^2$$

Where each objective function ${\varphi }_i$ has a weighting matrix $W_i$, this method returns the full weighting matrix for the composite objective function:

$$\begin{array}{r}\mathbf{W}=\left[\begin{array}{c}\sqrt{c_1}{W}_i\\ ⋮\\ \sqrt{c_N}{W}_N\end{array}\right]\end{array}$$

Returns:

scipy.sparse.csr_matrix

Full weighting matrix for the combo objective function.