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Title: Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations

Journal Article · · SIAM Journal on Scientific Computing
DOI:· OSTI ID:1408509
 [1];  [2];  [3];  [3];  [2];  [1];  [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. North Carolina State Univ., Raleigh, NC (United States). Dept. of Mathematics
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Here, we analyze the convergence of Anderson acceleration when the fixed point map is corrupted with errors. We also 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.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
Grant/Contract Number:
Alternate ID(s):
OSTI ID: 1415201
Journal Information:
SIAM Journal on Scientific Computing, Vol. 39, Issue 5; ISSN 1064-8275
SIAMCopyright Statement
Country of Publication:
United States
Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

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Cited By (1)

Numerical methods for nonlinear equations journal May 2018