A Note on the Gradient Projection Method with Exact Stepsize Rule *1)

نویسندگان

  • Naihua Xiu
  • Changyu Wang
  • N. H. XIU
  • C. Y. WANG
چکیده

In this paper, we give some convergence results on the gradient projection method with exact stepsize rule for solving the minimization problem with convex constraints. Especially, we show that if the objective function is convex and its gradient is Lipschitz continuous, then the whole sequence of iterations produced by this method with bounded exact stepsizes converges to a solution of the concerned problem. Mathematics subject classification: 90C30, 65K05.

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تاریخ انتشار 2007