TY - JOUR
T1 - A Note on the Gradient Projection Method with Exact Stepsize Rule
AU - Naihua Xiu, Changyu Wang & Lingchen Kong
JO - Journal of Computational Mathematics
VL - 2
SP - 221
EP - 230
PY - 2007
DA - 2007/04
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8687.html
KW - Gradient projection method, Exact stepsize rule, Full convergence.
AB - <p style="text-align: justify;">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.</p>