2008•Journal of Shandong UniversityRequires access

Global convergence of a conjugate gradient method with strong Wolfe-Powell line search

Ying Li

Abstract

A new kind of conjugate gradient algorithm for solving nonlinear unconstrained optimization was proposed.This conjugate gradient method with strong Wolfe-Powell line search satisfies the sufficient descent property,and this new kind of conjugate gradient algorithm with strong Wolfe line search possess the global convergence property.

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Key concepts: Conjugate gradient method, Nonlinear conjugate gradient method, Conjugate residual method, Derivation of the conjugate gradient method, Gradient descent, Line search, Convergence (economics), Conjugate