[1] Proof:  

$$\begin{eqnarray} { \enq{\end{eqnarray}$$ (1)

x M A C D E F G K L P R S T V W Int Bdy

Iterative methods of optimization with application to crosswell tomography

James G. Berryman and Sergey Fomel

berryman@sep.stanford.edu, sergey@sep.stanford.edu

ABSTRACT

We review the theory of iterative optimization, revealing the common origin of different optimization methods and reformulating the pseudoinverse, model resolution, and data resolution operators in terms of effective iterative estimates. Examples from crosswell tomography illustrate the theory and suggest efficient methods of its implementation.