An efficient projection method for nonlinear inverse problems with sparsity constraints

@article{Han2016AnEP,
  title={An efficient projection method for nonlinear inverse problems with sparsity constraints},
  author={D. Han and Zehui Jia and Y. Song and D. Z. Wang},
  journal={Inverse Problems and Imaging},
  year={2016},
  volume={10},
  pages={689-709}
}
In this paper, we propose a modification of the accelerated projective steepest descent method for solving nonlinear inverse problems with an $\ell_1$ constraint on the variable, which was recently proposed by Teschke and Borries (2010 Inverse Problems 26 025007). In their method, there are some parameters need to be estimated, which is a difficult task for many applications. We overcome this difficulty by introducing a self-adaptive strategy in choosing the parameters. Theoretically, the… Expand
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