"Jose E. Roman" <[email protected]> writes:
> I guess what Gideon needs to do is compute E from an initial guess of u, then 
> use SNES to update u, and iterate until a self-consistent state is reached.

Depending on the functional form of the nonlinearity, sometimes you can
prove convergence for such algorithms.  E.g.,

http://59A2.org/na/BiezunerBrownErcoleMartins-CompuingTheFirstEigenpairPLaplacianInverseIteration-2012.pdf

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