An iterative approach to a constrained least squares problem

[摘要] A constrained least squares problem in a Hilbert spaceHis considered. The standard Tikhonov regularizationmethod is used.In the case where the set of the constraints is the nonempty intersection of a finite collection of closed convex subsets ofH, an iterative algorithm is designed. The resulting sequence is shown to converge strongly to the unique solution of the regularized problem. The net of the solutions to the regularized problems strongly converges to the minimum norm solution of the least squares problem if its solution set is nonempty.

[学科分类] 数学（综合）