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On descent-projection method for solving the split feasibility problems

Author:
Bnouhachem, Abdellah  Noor, Muhammad Aslam  Khalfaoui, Mohamed  Sheng Zhaohan  


Journal:
JOURNAL OF GLOBAL OPTIMIZATION


Issue Date:
2012


Abstract(summary):

Let Omega and C be nonempty, closed and convex sets in R (n) and R (m) respectively and A be an real matrix. The split feasibility problem is to find with Many problems arising in the image reconstruction can be formulated in this form. In this paper, we propose a descent-projection method for solving the split feasibility problems. The method generates the new iterate by searching the optimal step size along the descent direction. Under certain conditions, the global convergence of the proposed method is proved. In order to demonstrate the efficiency of the proposed method, we provide some numerical results.


Page:
627---639


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