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The general iterative formula for the square root that we derived can
be extended to the factorization of the auto-correlation
functions. The Wilson-Burg algorithm is a special
case of our more general formula. Using such a general formula
provides flexibility in choosing between fast convergence and
stability. We can achieve fast convergence
when factorizing auto-spectra that have a very similar form.
This improvement in convergence rate can have a useful
application, for instance, in nonstationary preconditioning.

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Stanford Exploration Project

4/20/1999