Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24557
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dc.contributor.authorWang, Cen_US
dc.contributor.authorLiu, Qen_US
dc.contributor.authorYang, Xen_US
dc.date.accessioned2015-08-28T04:31:51Z-
dc.date.available2015-08-28T04:31:51Z-
dc.date.issued2005-
dc.identifier.citationJournal of computational and applied mathematics, 2005, v. 182, no. 1, p. 51-66en_US
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10397/24557-
dc.description.abstractIn a recent paper, a nonmonotone spectral projected gradient (SPG) method was introduced by Birgin et al. for the minimization of differentiable functions on closed convex sets and extensive presented results showed that this method was very efficient. In this paper, we give a more comprehensive theoretical analysis of the SPG method. In doing so, we remove various boundedness conditions that are assumed in existing results, such as boundedness from below of f, boundedness of xk or existence of accumulation point of {xk}. If ∇f(·) is uniformly continuous, we establish the convergence theory of this method and prove that the SPG method forces the sequence of projected gradients to zero. Moreover, we show under appropriate conditions that the SPG method has some encouraging convergence properties, such as the global convergence of the sequence of iterates generated by this method and the finite termination, etc. Therefore, these results show that the SPG method is attractive in theory.en_US
dc.description.sponsorshipDepartment of Applied Mathematicsen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of computational and applied mathematicsen_US
dc.subjectNonmonotone linear searchen_US
dc.subjectConvergenceen_US
dc.subjectFinite terminationen_US
dc.titleConvergence properties of nonmonotone spectral projected gradient methodsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage51-
dc.identifier.epage66-
dc.identifier.volume182-
dc.identifier.issue1-
dc.identifier.doi10.1016/j.cam.2004.10.018-
dc.identifier.eissn1879-1778-
dc.identifier.rosgroupidr23497-
dc.description.ros2004-2005 > Academic research: refereed > Publication in refereed journal-
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