Linear Convergence of Projection Algorithms
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[1] Heinz H. Bauschke,et al. Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study , 2015, 1501.06603.
[2] Heinz H. Bauschke,et al. Restricted Normal Cones and the Method of Alternating Projections: Applications , 2012, 1205.0318.
[3] Heinz H. Bauschke,et al. Reflection-Projection Method for Convex Feasibility Problems with an Obtuse Cone , 2004 .
[4] Jean-Louis Goffin,et al. The Relaxation Method for Solving Systems of Linear Inequalities , 1980, Math. Oper. Res..
[5] F. Giannessi. Variational Analysis and Generalized Differentiation , 2006 .
[6] Dmitriy Drusvyatskiy,et al. Transversality and Alternating Projections for Nonconvex Sets , 2014, Found. Comput. Math..
[7] Heinz H. Bauschke,et al. On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces , 2016, J. Glob. Optim..
[8] A. Kruger. About Regularity of Collections of Sets , 2006 .
[9] Heinz H. Bauschke,et al. Linear and strong convergence of algorithms involving averaged nonexpansive operators , 2014, Journal of Mathematical Analysis and Applications.
[10] Heinz H. Bauschke,et al. The Method of Alternating Relaxed Projections for Two Nonconvex Sets , 2013, Vietnam Journal of Mathematics.
[11] Aude Rondepierre,et al. On Local Convergence of the Method of Alternating Projections , 2013, Foundations of Computational Mathematics.
[12] Wei Chen,et al. A fast algorithm for solving a linear feasibility problem with application to Intensity-Modulated Radiation Therapy. , 2008, Linear algebra and its applications.
[13] Heinz H. Bauschke,et al. Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization , 1999, Math. Program..
[14] Heinz H. Bauschke,et al. The Method of Cyclic Intrepid Projections: Convergence Analysis and Numerical Experiments , 2013, 1312.0534.
[15] Adrian S. Lewis,et al. Local Linear Convergence for Alternating and Averaged Nonconvex Projections , 2009, Found. Comput. Math..
[16] Gabor T. Herman,et al. A relaxation method for reconstructing objects from noisy X-rays , 1975, Math. Program..
[17] Heinz H. Bauschke,et al. Restricted Normal Cones and the Method of Alternating Projections: Theory , 2012 .
[18] Jonathan M. Borwein,et al. A Cyclic Douglas–Rachford Iteration Scheme , 2013, J. Optim. Theory Appl..
[19] Heinz H. Bauschke,et al. On Projection Algorithms for Solving Convex Feasibility Problems , 1996, SIAM Rev..
[20] P. Lions,et al. Splitting Algorithms for the Sum of Two Nonlinear Operators , 1979 .
[21] Heinz H. Bauschke,et al. Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces , 2013, 1301.4506.
[22] D. Russell Luke,et al. Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems , 2012, SIAM J. Optim..
[23] A. Cegielski. Iterative Methods for Fixed Point Problems in Hilbert Spaces , 2012 .
[24] Heinz H. Bauschke,et al. Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.
[25] Jonathan M. Borwein,et al. Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems , 2015, SIAM J. Optim..
[26] A. Ioffe. Approximate subdifferentials and applications 3: the metric theory , 1989 .
[27] Alexander Y. Kruger,et al. About Subtransversality of Collections of Sets , 2016 .
[28] Heinz H. Bauschke,et al. On the Finite Convergence of the Douglas-Rachford Algorithm for Solving (Not Necessarily Convex) Feasibility Problems in Euclidean Spaces , 2017, SIAM J. Optim..
[29] Hung M. Phan,et al. Linear convergence of the Douglas–Rachford method for two closed sets , 2014, 1401.6509.
[30] H. H. Rachford,et al. On the numerical solution of heat conduction problems in two and three space variables , 1956 .
[31] D. Russell Luke,et al. Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings , 2016, Math. Oper. Res..