# Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints

@article{Teschke2010AcceleratedPS, title={Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints}, author={G. Teschke and C. Borries}, journal={Inverse Problems}, year={2010}, volume={26}, pages={025007} }

This paper is concerned with the construction of an iterative algorithm to solve nonlinear inverse problems with an l1 constraint on x. One extensively studied method to obtain a solution of such an l1 penalized problem is iterative soft-thresholding. Regrettably, such iteration schemes are computationally very intensive. A subtle alternative to iterative soft-thresholding is the projected gradient method that was quite recently proposed by Daubechies et al (2008 J. Fourier Anal. Appl. 14 764… CONTINUE READING

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