Projected gradient iteration for nonlinear operator equation

DOI10.1016/j.cam.2011.04.033zbMath1226.65049OpenAlexW2050497668MaRDI QIDQ633958

Wei Huang, Di-Rong Chen

Publication date: 2 August 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.033

zbMATH Keywords

Fréchet differentiabilityprojected gradient iterationshrinkage operator\(\ell_p\)-norm constraintill-posed nonlinear operator equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Uses Software

• CoSaMP

Cites Work

• Unnamed Item
• Iterative hard thresholding for compressed sensing
• Iterative thresholding for sparse approximations
• Accelerated projected gradient method for linear inverse problems with sparsity constraints
• Linear convergence of iterative soft-thresholding
• Regularization properties of Tikhonov regularization with sparsity constraints
• Accelerating gradient projection methods for \(\ell _1\)-constrained signal recovery by steplength selection rules
• A generalized conditional gradient method and its connection to an iterative shrinkage method
• CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
• A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
• On autoconvolution and regularization
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints
• Stable signal recovery from incomplete and inaccurate measurements
• Tikhonov replacement functionals for iteratively solving nonlinear operator equations
• Compressed sensing

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