ABSTRACT
In this paper, the Hager–Zhang (HZ) conjugate gradient (CG) algorithm is studied for large-scale smooth optimization problems. (i) Some results of the HZ CG method for smooth unconstrained optimization problems are given, and a modified HZ (MHZ) CG method is proposed; (ii) the HZ and MHZ CG methods for nonlinear equations are analysed, the global convergence is established and numerical results for large-scale nonlinear equation problems are reported (1,00,000 variables).
2010 AMS SUBJECT CLASSIFICATION:
Acknowledgments
The authors thank the editor, Dr. Suguna Selvakumar, and the referees for their helpful comments that greatly improved this manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Zhou Sheng http://orcid.org/0000-0001-9295-5872