A GRADIENT ALGORITHM FOR FINDING MINIMUM-NORM SOLUTION OF THE SPLIT FEASIBILITY PROBLEM

作者：Qu, Biao^*; Liu, Binghua

来源：Pacific Journal of Optimization, 2017, 13(2): 355-364.

• gradient algorithm
• split feasibility problem
• minimum-norm solution

This paper discusses the problem of finding the minimum-norm solution of the split feasibility problem (SFP). Using the idea of Tikhonov's regularization, we first introduce a unconstrained optimization problem related to the SFP. Then, we design and analyze a gradient algorithm for finding the minimum-norm solution of the SFP. The global convergence of the algorithm is also established.

• 出版日期2017-4
• 单位曲阜师范大学