Nonconvex set intersection problems: From projection methods to the Newton method for super-regular sets
暂无分享,去创建一个
[1] Ubaldo M. García-Palomares. A superlinearly convergent projection algorithm for solving the convex inequality problem , 1998, Oper. Res. Lett..
[2] Karin Schwab,et al. Best Approximation In Inner Product Spaces , 2016 .
[3] Donald Goldfarb,et al. Efficient primal algorithms for strictly convex quadratic programs , 1986 .
[4] Heinz H. Bauschke,et al. On the convergence of von Neumann's alternating projection algorithm for two sets , 1993 .
[5] Karolos M. Grigoriadis,et al. Low-order control design for LMI problems using alternating projection methods , 1996, Autom..
[6] Ubaldo M. García-Palomares,et al. Superlinear Rate of Convergence and Optimal Acceleration Schemes in the Solution of Convex Inequality Problems , 2001 .
[7] Moody T. Chu,et al. Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues , 1995, SIAM J. Matrix Anal. Appl..
[8] Robert W. Heath,et al. Designing structured tight frames via an alternating projection method , 2005, IEEE Transactions on Information Theory.
[9] S. Marchesini,et al. Alternating projection, ptychographic imaging and phase synchronization , 2014, 1402.0550.
[10] J. Borwein,et al. Techniques of variational analysis , 2005 .
[11] Jean Charles Gilbert,et al. Numerical Optimization: Theoretical and Practical Aspects , 2003 .
[12] Boris Polyak,et al. The method of projections for finding the common point of convex sets , 1967 .
[13] C. Pang. Finitely convergent algorithm for nonconvex inequality problems , 2014, 1405.7280.
[14] A. Ioffe. Metric regularity and subdifferential calculus , 2000 .
[15] M. Raydan,et al. Alternating Projection Methods , 2011 .
[16] A. Pierro,et al. A finitely convergent “row-action” method for the convex feasibility problem , 1988 .
[17] Wei Hong Yang,et al. Regularities and their relations to error bounds , 2004, Math. Program..
[18] M. Chu,et al. On the Least Squares Solution of Inverse Eigenvalue Problems , 1996 .
[19] Robert Orsi. Numerical Methods for Solving Inverse Eigenvalue Problems for Nonnegative Matrices , 2006, SIAM J. Matrix Anal. Appl..
[20] D. Mayne,et al. On the finite solution of nonlinear inequalities , 1979 .
[21] øöö Blockinø. Phase retrieval, error reduction algorithm, and Fienup variants: A view from convex optimization , 2002 .
[22] Heinz H. Bauschke,et al. On Projection Algorithms for Solving Convex Feasibility Problems , 1996, SIAM Rev..
[23] Marcos Raydan,et al. Unconstrained Optimization Techniques for the Acceleration of Alternating Projection Methods , 2011 .
[24] E. Polak. Method of Successive Projections for Finding a Common Point of Sets in Metric Spaces , 1990 .
[25] Hédy Attouch,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality , 2008, Math. Oper. Res..
[26] John B. Moore,et al. A Newton-like method for solving rank constrained linear matrix inequalities , 2006, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).
[27] Heinz H. Bauschke,et al. Accelerating the convergence of the method of alternating projections , 2003 .
[28] Adrian S. Lewis,et al. Alternating Projections on Manifolds , 2008, Math. Oper. Res..
[29] Guy Pierra,et al. Decomposition through formalization in a product space , 1984, Math. Program..
[30] Heinz H. Bauschke,et al. On the Finite Convergence of a Projected Cutter Method , 2014, J. Optim. Theory Appl..
[31] David Q. Mayne,et al. Solving nonlinear inequalities in a finite number of iterations , 1981 .
[32] N. Maratos,et al. Exact penalty function algorithms for finite dimensional and control optimization problems , 1978 .
[33] A. Kruger. About Regularity of Collections of Sets , 2006 .
[34] Adrian S. Lewis,et al. Local Linear Convergence for Alternating and Averaged Nonconvex Projections , 2009, Found. Comput. Math..
[35] F. Deutsch. Best approximation in inner product spaces , 2001 .
[36] 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..
[37] Donald Goldfarb,et al. A numerically stable dual method for solving strictly convex quadratic programs , 1983, Math. Program..
[38] W. B. Bearhart,et al. Acceleration schemes for the method of alternating projections , 1989 .
[39] J. Hiriart-Urruty,et al. Convex analysis and minimization algorithms , 1993 .
[40] D. Russell Luke,et al. Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems , 2012, SIAM J. Optim..
[41] K. Grigoriadis,et al. Alternating projection algorithms for linear matrix inequalities problems with rank constraints , 1999 .
[42] Robert Orsi,et al. Generalized pole placement via static output feedback: A methodology based on projections , 2006, Autom..
[43] Masao Fukushima,et al. A finitely convergent algorithm for convex inequalities , 1982 .