Abstract:

Conjugate gradient methods with a certain kind of Property under an Armijo-type line search were investigated. These methods include the well-known PRP method as a special case, and the global convergence of the methods is proved. Preliminary numerical results show that these methods are efficient.
 

Key words: unconstrained optimization;the Polak-Ribière-Polyak conjugate gradient method;Armijo-type line search;global convergence