# Convergence properties of the Fletcher-Reeves method

Published on Apr 1, 1996in Ima Journal of Numerical Analysis2.601
· DOI :10.1093/IMANUM/16.2.155
Yu-Hong Dai37
Estimated H-index: 37
,
Ya-xiang Yuan35
Estimated H-index: 35
Sources
Abstract
This paper investigates the global convergence properties of the Fletcher-Reeves (FR) method for unconstrained optimization. In a simple way, we prove that a kind of inexact line search condition can ensure the convergence of the FR method. Several examples are constructed to show that, if the search conditions are relaxed, the FR method may produce an ascent search direction, which implies that our result cannot be improved.
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