Study On The Global Convergence Of The Nonlinear Conjugate Gradient Method With SWP Line Search

The conjugate gradient method is one of the most efficient methods to solve large-scale unconstrained optimization problems , which needs low memories and attracts so many scholars' interests on it . A brief introduction to the conjugate gradient method is given and some important conclusions given by pioneers on the global convergence of the nonlinear conjugate gradient methods are summarized in this paper . Under certain condition , some similar conclusions are discussed here . Also some fundamental theory on the global convergence of the conjugate gradient method are proposed later , including their applications .