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In geophysical mapping and imaging applications we
set up linear equations of high order.
We face subjective issues
like how to scale components of an operator
and how much damping (regularization) to use.
Here I summarize a few scaling tricks.
Please keep in mind that
we do not have matrices (data structures) but operators,
i.e., function pairs for applying an operator
and its adjoint (transpose).
In other words,
nifty methods and theories for matrices
are often not applicable.
Next: ROW NORMALIZATION, POSITIVE OPERATORS
Up: Claerbout: Preconditioning and scalingPreconditioning
Previous: Claerbout: Preconditioning and scalingPreconditioning
Stanford Exploration Project
11/11/1997