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Data-space preconditioning

This is equivalent to pre-multiplying the matrix L and the data vector ${\bf d}$ by a diagonal matrix ${\bf R^{-1}}$and solving the system:
\begin{displaymath}
\bold R^{-1} \bold d = \bold R^{-1} \bold L \bold m
\EQNLABEL{dat-prec}\end{displaymath} (55)
where the sums of the elements from each row of L are along the diagonal of ${\bf R}$.

Since each row corresponds to a summation surface (impulse response of $\bold L^T$), then ${\bf R^{-1}}$ is normalization by the coverage before AMO.


next up previous print clean
Next: Model-space preconditioning Up: Practical implementation of ICO Previous: Diagonal weighting preconditioning
Stanford Exploration Project
1/18/2001