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convergence checking

Somewhere in the Mathematica documentation, there is an expression like


suggested for use as a convergence criteria. I can't find it again,
and I'm hoping someone will point me to it.

Also, if you have any pointers about checking convergence (ignoring
other factors like movement along a contour line causing large changes
in the solution but no changes in function value), I would like to
hear them.

The dicussion at

(around eqn 10.1.2)

is interesting, though I am not sure I understand how to implement it
(in the context of Mathematica programming of an optimization


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