Title
ANDERSON ACCELERATION FOR A CLASS OF NONSMOOTH FIXED-POINT PROBLEMS
Abstract
We prove convergence of Anderson acceleration for a class of nonsmooth fixed-point problems for which the nonlinearities can be split into a smooth contractive part and a nonsmooth part which has a small Lipschitz constant. These problems arise from compositions of completely continuous integral operators and pointwise nonsmooth functions. We illustrate the results with two examples.
Year
DOI
Venue
2021
10.1137/20M132938X
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
DocType
Volume
Key words, nonsmooth equatioins, Anderson acceleration, integral equations, nonlinear equations, fixed-point problems
Journal
43
Issue
ISSN
Citations 
5
1064-8275
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Wei Bian128614.65
Xiaojun Chen21298107.51
C. T. Kelley39918.47