Strong Convergence of a Projected Gradient Method

The projected-gradient method is a powerful tool for solving constrained convex optimization problems and has extensively been studied. In the present paper, a projected-gradient method is presented for solving the minimization problem, and the strong convergence analysis of the suggested gradient p...

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Main Authors: Shunhou Fan, Yonghong Yao
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/410137
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author Shunhou Fan
Yonghong Yao
author_facet Shunhou Fan
Yonghong Yao
author_sort Shunhou Fan
collection DOAJ
description The projected-gradient method is a powerful tool for solving constrained convex optimization problems and has extensively been studied. In the present paper, a projected-gradient method is presented for solving the minimization problem, and the strong convergence analysis of the suggested gradient projection method is given.
format Article
id doaj-art-b28151d4abc4424daa6460ff760d5629
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-b28151d4abc4424daa6460ff760d56292025-02-03T01:09:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/410137410137Strong Convergence of a Projected Gradient MethodShunhou Fan0Yonghong Yao1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaThe projected-gradient method is a powerful tool for solving constrained convex optimization problems and has extensively been studied. In the present paper, a projected-gradient method is presented for solving the minimization problem, and the strong convergence analysis of the suggested gradient projection method is given.http://dx.doi.org/10.1155/2012/410137
spellingShingle Shunhou Fan
Yonghong Yao
Strong Convergence of a Projected Gradient Method
Journal of Applied Mathematics
title Strong Convergence of a Projected Gradient Method
title_full Strong Convergence of a Projected Gradient Method
title_fullStr Strong Convergence of a Projected Gradient Method
title_full_unstemmed Strong Convergence of a Projected Gradient Method
title_short Strong Convergence of a Projected Gradient Method
title_sort strong convergence of a projected gradient method
url http://dx.doi.org/10.1155/2012/410137
work_keys_str_mv AT shunhoufan strongconvergenceofaprojectedgradientmethod
AT yonghongyao strongconvergenceofaprojectedgradientmethod