Local improvement results for anderson acceleration with inaccurate function evaluations
by Alex Toth, J. Austin Ellis, Thomas M. Evans, Steven P. Hamilton, C. T. Kelley, Roger Pawlowski, Stuart R. Slattery
We analyze the convergence of Anderson acceleration when the xed point map is corrupted with errors. We consider uniformly bounded errors and stochastic errors with in nite tails. We prove local improvement results which describe the performance of the iteration up to the point where the accuracy of the function evaluation causes the iteration to stagnate. We illustrate the results with examples from neutronics.