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Keywords:
projections onto convex sets; nonlinear operators; slow convergence
projections onto convex sets; nonlinear operators; slow convergence
Summary:
References:
[1 H. Bauschke and J. Borwein]
On projection algorithms for solving convex feasibility problems. Siam Review 38 (1996), 367–426. MR 1409591 | Zbl 0865.47039
[2] D. Butnariu and Y. Censor: On the behaviour of a block-iterative projection method for solving convex feasibility problems. Intern. J. Computer Math. 34 (1990), 79–94.
[3] Y. Censor and S. A. Zenios: Parallel optimization. Theory, algorithms, and applications, Oxford University Press, Inc., New York, 1997. MR 1486040
[4] G. Crombez: Viewing parallel projection methods as sequential ones in convex feasibility problems. Trans. Amer. Math. Soc. 347 (1995), 2575–2583. MR 1277105 | Zbl 0846.46010
[5] G. Crombez: Improving the speed of convergence in the method of projections onto convex sets. Publicationes Mathematicae Debrecen 58 (2001), 29–48. MR 1807574 | Zbl 0973.65001
[6] F. Deutsch: The method of alternating orthogonal projections. In: “Approximation theory, spline functions and applications”, Kluwer Academic Publishers, 1992, pp. 105–121. MR 1165964 | Zbl 0751.41031
[7] J. Dye and S. Reich: Random products of nonexpansive mappings. In: “Optimization and Nonlinear Analysis”, Pitman Research Notes in Mathematics Series, Vol. 244, Longman, Harlow, 1992, pp. 106–118. MR 1184635
[8] W. Gearhart and M. Koshy: Acceleration schemes for the method of alternating projections. J. Comp. Appl. Math. 26 (1989), 235–249. MR 1010558
[9] L. G. Gubin, B. T. Polyak and E. V. Raik: The method of projections for finding the common point of convex sets. USSR Comput. Math. and Math. Phys. 7 (1967), 1–24.
[10] M. Hanke and W. Niethammer: On the acceleration of Kaczmarz’s method for inconsistent linear systems. Linear Algebra Appl. 130 (1990), 83–98. MR 1057802
[11] D. Schott: Iterative solution of convex problems by Fejér-monotone methods. Numer. Funct. Anal. and Optimiz. 16 (1995), 1323–1357. MR 1374979
[12] H. Stark and Y. Yang: Vector space projections. J. Wiley & Sons, Inc., New York, 1998.
[13] L. Vandenberghe and S. Boyd: Semidefinite programming. Siam Review 38 (1996), 49–95. MR 1379041
[14] Y. Yang, N. Galatsanos and A. Katsaggelos: Projection-based spatially adaptive reconstruction of block-transform compressed images. IEEE Trans. Image Processing 4 (1995), 896–908.
[15] D. C. Youla: Mathematical theory of image restoration by the method of convex projections. In: H. Stark (editor), “Image recovery: theory and applications”, Academic Press, New York, 1987, pp. 29–77. MR 0896707
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