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- W2015768774 abstract "It is well known that global convergence has not been established for the Polak-Ribiere-Polyak (PRP) conjugate gradient method using the standard Wolfe conditions. In the convergence analysis of PRP method with Wolfe line search, the (sufficient) descent condition and the restriction @bk>=0 are indispensable (see [4,7]). This paper shows that these restrictions could be relaxed. Under some suitable conditions, by using a modified Wolfe line search, global convergence results were established for the PRP method. Some special choices for @bk which can ensure the search direction's descent property were also discussed in this paper. Preliminary numerical results on a set of large-scale problems were reported to show that the PRP method's computational efficiency is encouraging." @default.
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- W2015768774 date "2009-12-01" @default.
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- W2015768774 title "Globally convergent Polak–Ribière–Polyak conjugate gradient methods under a modified Wolfe line search" @default.
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- W2015768774 doi "https://doi.org/10.1016/j.amc.2009.09.063" @default.
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