In this paper, we proposed hybrid conjugate gradient method using the convex combination of FR and PRP conjugate gradient methods for solving Large-scale symmetric nonlinear equations via Andrei approach with nonmonotone line search. Logical formula for obtaining the convex parameter using Newton and our proposed directions was also proposed. Under appropriate conditions global convergence was established. Reported numerical results show that the proposed method is very promising.
Sabi'u, Jamilu and Waziri, Mohammed Y.
Effective Modified Hybrid Conjugate Gradient Method for Large-Scale Symmetric Nonlinear Equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
2, Article 25.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss2/25