Quasi-linear inversion in matrix notations

Note that, in the case of a scalar electrical reflectivity coefficient A, we can rewrite equation (10.62) according to (9.229) and (9.230), in matrix notation  

Hu this section we use a hat sign above the matrix to distinguish between the column vectors and matrices. 

Equation (10.66) can be treated as a modification of Ohm s law, because it comes directly from the differential Ohm s law for the quasi-linear approximation of the anomalous field  

the discrete forward modeling problem for the electromagnetic field based on the QL approximation can be expressed by the following matrix operations  

the solution of the inverse problem is reduced to inversion of the linear system (10.65) with respect to m and then to solving (10.71) with respect to A  

---