Another improved Wei-Yao-Liu nonlinear conjugate gradient method with sufficient descent property. (English) Zbl 1254.65074

Many of the variants of the original conjugate gradient methods have been widely studied, including the known results of the Hestenes-Stiefel method, the Polak-Ribière-Polyak (PRP) method, a variant of the PRP (VPRP) method, and the NPRP method. The authors present a modification to the NPRP method such that the method possesses the sufficient descent property for any line search and also the global convergence with the standard Wolfe line search or Armijo line search. The result is extended to the Hestenes-Stiefel method. Some numerical experiments are shown to show that the NPRP method performs better than the VPRP method.


65K05 Numerical mathematical programming methods
90C30 Nonlinear programming


Full Text: DOI


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