Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 2 : pp. 221–230
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8687
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 2 : pp. 221–230
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Gradient projection method Exact stepsize rule Full convergence.