A Regularized Gradient Projection Method for the Minimization Problem

作者:Yao Yonghong; Kang Shin Min*; Wu Jigang; Yang Pei Xia
来源:Journal of Applied Mathematics, 2012, 2012: 259813.
DOI:10.1155/2012/259813

摘要

We investigate the following regularized gradient projection algorithm x(n+1) = P-c(I - gamma(n)(del f + alpha I-n))x(n), n %26gt;= 0. Under some different control conditions, we prove that this gradient projection algorithm strongly converges to the minimum norm solution of the minimization problem min(x is an element of C) f(x).