Abstract | ||
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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 |
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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 Bian | 1 | 286 | 14.65 |
Xiaojun Chen | 2 | 1298 | 107.51 |
C. T. Kelley | 3 | 99 | 18.47 |