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An Inexact Optimal Hybrid Conjugate Gradient Method for Solving Symmetric Nonlinear Equations

An Inexact Optimal Hybrid Conjugate Gradient Method for Solving Symmetric Nonlinear Equations

This article presents an inexact optimal hybrid conjugate gradient (CG) method for solving symmetric nonlinear systems. The method is a convex combination of the optimal Daiā€“Liao (DL) and the extended three-term Polakā€“RibiĆ©reā€“Polyak (PRP) CG methods. However, two different formulas for selecting the convex parameter are derived by using the conjugacy ā€¦