Study On The Hybrid Nonlinear Conjugate Gradient Method

Nonlinear conjugate gradient algorithm(NCG) is an important component of opti-- mization methods, which can be applied to natural science, practical manufaction, engineering design, modern management and etc. This paper mainly studies the theoritical proprities of nonlinear conjugate gradient method. The main results obtained in this dissertation may be summarized as follows:1. Chapter 2 presents a criterion of global convergence of the nonlinear conjugate gradientmethod under the Wolfe line search condition.2. Chapter 2 also gives a family of three parameter conjugate gradient method. Theglobal convergence property of the family and a change form of the DY method are proved under the Wolfe line search condition or modified Wofle line search condition via the criterion we have presented.3. Chapter 3 extends the results of two references under the Wolfe line search conditonor the generlized Wolfe line search conditon.