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- Title
Modified Alternating Direction Methods for the Modified Multiple-Sets Split Feasibility Problems.
- Authors
Yang, Yuning; Yang, Qingzhi; Zhang, Su
- Abstract
In this paper, we propose two new multiple-sets split feasibility problem models and new solution methods. The first model is more separable than the original one, which enables us to apply a modified alternating direction method with parallel steps to solve it. Then, to overcome the difficulty of computing projections onto the constraint sets, a special version of this modified method with the strategy of projection onto half-space is given. The second model consists in finding a least Euclidean norm solution of the multiple-sets split feasibility problem, for which we provide another modified alternating direction method. Numerical results presented at the last show the efficiency of our methods.
- Subjects
FEASIBILITY studies; SET theory; PROBLEM solving; EUCLIDEAN domains; NUMERICAL analysis
- Publication
Journal of Optimization Theory & Applications, 2014, Vol 163, Issue 1, p130
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-013-0502-6