Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93879
| Title: | Anderson acceleration for a class of nonsmooth fixed-point problems | Authors: | Bian, W Chen, X Kelley, CT |
Issue Date: | 2021 | Source: | SIAM journal on scientific computing, 2021, v. 43, no. 5, p. S1-S20 | 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. | Keywords: | Anderson acceleration Fixed-point problems Integral equations Nonlinear equations Nonsmooth equatioins |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on scientific computing | ISSN: | 1064-8275 | EISSN: | 1095-7197 | DOI: | 10.1137/20M132938X | Rights: | © 2021 Society for Industrial and Applied Mathematics The following publication Bian, W., Chen, X., & Kelley, C. T. (2021). Anderson acceleration for a class of nonsmooth fixed-point problems. SIAM Journal on Scientific Computing, 43(5), S1-S20 is available at https://doi.org/10.1137/20M132938X |
| Appears in Collections: | Journal/Magazine Article |
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| 20m132938x.pdf | 414.89 kB | Adobe PDF | View/Open |
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