An Improved Conjugate Gradient Projection Algorithm for Solving Large-scale Convex Constrained Nonlinear Systems of Equations
To promote the study of numerical methods for large-scale convex constrained nonlinear e-quations,combing with a derivative-free line search method and projection technique,a novel deriva-tive-free conjugate gradient projection algorithm was proposed by designing an improved conjugate pa-rameter and constructing a new search direction with sufficient descent property and trust region fea-ture.And the global convergence of the new algorithm was also proven.Compared with similar conju-gate gradient methods,the numerical results show that the new algorithm is efficient and competitive for large-scale nonlinear equations.