A family of Hager–Zhang conjugate gradient methods for system of monotone nonlinear equations

Mohammed Yusuf Waziri, Kabiru Ahmed and Sabi’u, Jamilu

Applied Mathematics and Computation, 2019, vol. 361, issue C, 645-660

Abstract: This paper presents two modified Hager–Zhang (HZ) Conjugate Gradient methods for solving large-scale system of monotone nonlinear equations. The methods were developed by combining modified forms of the one-parameter method by Hager and Zhang (2006) and the hyperplane projection technique. Global convergence and numerical results of the methods are established. Preliminary numerical results show that the proposed methods are promising and more efficient compared to the methods presented by Mushtak and Keyvan (2018) and Sun et al. (2017).

Keywords: Nonlinear equations; Eigenvalue analysis; Hyperplane projection method; Monotonicity property; Global convergence (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:645-660

DOI: 10.1016/j.amc.2019.06.012

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