This paper gives a modified Hestenes and Stiefel (HS) conjugate gradient algorithm under the Yuan-Wei-Lu inexact line search\ntechnique for large-scale unconstrained optimization problems, where the proposed algorithm has the following properties: (1) the\nnew search direction possesses not only a sufficient descent property but also a trust region feature; (2) the presented algorithm has\nglobal convergence for nonconvex functions; (3) the numerical experiment showed that the new algorithm is more effective than\nsimilar algorithms.
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