Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations | Zendy

Alex Toth | Zendy; J. Austin Ellis | Zendy; T. M. Evans | Zendy; Steven Hamilton | Zendy; C. T. Kelley | Zendy; Roger P. Pawlowski | Zendy; Stuart Slattery | Zendy

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Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations

Author(s) -

Alex Toth,

J. Austin Ellis,

T. M. Evans,

Steven Hamilton,

C. T. Kelley,

Roger P. Pawlowski,

Stuart Slattery

Publication year - 2017

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/16m1080677

Subject(s) - acceleration , mathematics , convergence (economics) , bounded function , function (biology) , point (geometry) , fixed point , mathematical optimization , mathematical analysis , geometry , physics , classical mechanics , evolutionary biology , economics , biology , economic growth

We analyze the convergence of Anderson acceleration when the fixed point map is corrupted with errors. We consider uniformly bounded errors and stochastic errors with infinite 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.

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