Convergence of the descent nonlinear conjugate gradient methods. (Chinese. English summary) Zbl 1224.90167

Li, Shishun; Huang, Zhengda

J. Zhejiang Univ., Sci. Ed. 36, No. 4, 389-395, 407 (2009).

Summary: Conjugate gradient methods are typically used to solve large scale unconstrained optimization problems. Two descent conjugate gradient methods are proposed, and the global convergence with standard Wolfe conditions is proved. The numerical results show that the methods are efficient for the given test problems.

MSC:

90C30	Nonlinear programming
65K05	Numerical mathematical programming methods

Keywords:

conjugate gradient method; global convergence; descent condition