The global proof of the Polak–Ribière–Polak algorithm under the YWL inexact line search technique

Abstract This paper presents a new proof method about the paper (Yuan et al. in Appl. Math. Model. 47:811–825, 2017). In the proof, the global convergence of the Polak–Ribière–Polak algorithm is established without these two assumptions dkTgk<0 $d_{k}^{T}g_{k}<0$ and gk+1dk≤−σ1gkTdk $g_{k+1}d_...

Full description

Bibliographic Details
Main Authors: Xiangrong Li, Tianshan Yang, Xiaoliang Wang
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2148-x