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We propose and analyze an extremely fast, efficient, and simple method for solving the problem:min{parallel to u parallel to(1) : Au = f, u is an element of R-n}.This method was first described in [J.
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
L.M. Bregman · 1967
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Nonlinear total variation based noise removal algorithms
L. Rudin, S. Osher, and E. Fatemi · 1992
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An iterative regularization method for total variation based image restoration
S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin · 2005
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
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Recovery of sparse noisy date from solutions to the heat equation
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De-noising by soft-thresholding
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On the linearized bregman algorithm
W. Yin
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Iterative total variation methods for nonlinear inverse problems
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Bregman iterative algorithms for compressed sensing and related problems
W. Yin, S. Osher, D. Goldfarb, and J. Darbon · 2008
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Linearized Bregman iterations for compressed sensing
J. Cai, S. Osher, and Z. Shen · 2008
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Convergence of the linearized Bregman iteration for ℓ 1 \ell_{1} -norm minimization
J. Cai, S. Osher, and Z. Shen · 2008
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