A generalized conditional gradient method and its connection to an iterative shrinkage method
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Publication:842768
DOI10.1007/s10589-007-9083-3zbMath1179.90326OpenAlexW1994569450WikidataQ57562020 ScholiaQ57562020MaRDI QIDQ842768
Peter Maass, Kristian Bredies, Dirk A. Lorenz
Publication date: 25 September 2009
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-007-9083-3
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Cites Work
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- A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
- Minimization of functions having Lipschitz continuous first partial derivatives
- Convergence Rates for Conditional Gradient Sequences Generated by Implicit Step Length Rules
- Rates of Convergence for Conditional Gradient Algorithms Near Singular and Nonsingular Extremals
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- An Historical Survey of Computational Methods in Optimal Control
- On Steepest Descent
- Tikhonov replacement functionals for iteratively solving nonlinear operator equations
