Analysis on Newton projection method for the split feasibility problem
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DOI: 10.1007/s10589-016-9884-3
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- Jiming Liu, 1994. "Linear Stability of Generalized Equations Part I: Basic Theory," Mathematics of Operations Research, INFORMS, vol. 19(3), pages 706-720, August.
- Zhengyong Zhou & Bo Yu, 2014. "A smoothing homotopy method for variational inequality problems on polyhedral convex sets," Journal of Global Optimization, Springer, vol. 58(1), pages 151-168, January.
- Changyu Wang & Qian Liu & Cheng Ma, 2013. "Smoothing SQP algorithm for semismooth equations with box constraints," Computational Optimization and Applications, Springer, vol. 55(2), pages 399-425, June.
- Paul Armand & Joël Benoist & Riadh Omheni & Vincent Pateloup, 2014. "Study of a primal-dual algorithm for equality constrained minimization," Computational Optimization and Applications, Springer, vol. 59(3), pages 405-433, December.
- Qu, Biao & Liu, Binghua & Zheng, Na, 2015. "On the computation of the step-size for the CQ-like algorithms for the split feasibility problem," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 218-223.
- Stephen M. Robinson, 1980. "Strongly Regular Generalized Equations," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 43-62, February.
- Dong-Hui Li & Masao Fukushima, 2001. "Globally Convergent Broyden-Like Methods for Semismooth Equations and Applications to VIP, NCP and MCP," Annals of Operations Research, Springer, vol. 103(1), pages 71-97, March.
- Jiming Liu, 1994. "Linear Stability of Generalized Equations, Part II: Applications to Nonlinear Programming," Mathematics of Operations Research, INFORMS, vol. 19(3), pages 721-742, August.
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Cited by:
- Qiao-Li Dong & Songnian He & Michael Th. Rassias, 2021. "General splitting methods with linearization for the split feasibility problem," Journal of Global Optimization, Springer, vol. 79(4), pages 813-836, April.
- Li-Jun Zhu & Yonghong Yao, 2019. "An Iterative Approach to the Solutions of Proximal Split Feasibility Problems," Mathematics, MDPI, vol. 7(2), pages 1-9, February.
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Keywords
The split feasibility problem; Projection operator; Generalized Jacobian; Newton projection method; Global convergence and convergence rate;All these keywords.
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