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

Mohammed Yusuf Waziri; Kabiru Ahmed; Jamilu Sabi'u

doi:10.1016/j.amc.2019.06.012

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

Mohammed Yusuf Waziri^*
, Kabiru Ahmed
, Jamilu Sabi'u

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

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).

Original language	English
Pages (from-to)	645-660
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	361
DOIs	https://doi.org/10.1016/j.amc.2019.06.012
State	Published - 15 Nov 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Eigenvalue analysis
Global convergence
Hyperplane projection method
Monotonicity property
Nonlinear equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2019.06.012

Cite this

@article{b7d6acdef30a41358cfe4299ac3cd140,

title = "A family of Hager{\textendash}Zhang conjugate gradient methods for system of monotone nonlinear equations",

abstract = "This paper presents two modified Hager{\textendash}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 = "Eigenvalue analysis, Global convergence, Hyperplane projection method, Monotonicity property, Nonlinear equations",

author = "Waziri, \{Mohammed Yusuf\} and Kabiru Ahmed and Jamilu Sabi'u",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = nov,

day = "15",

doi = "10.1016/j.amc.2019.06.012",

language = "English",

volume = "361",

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journal = "Applied Mathematics and Computation",

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TY - JOUR

T1 - A family of Hager–Zhang conjugate gradient methods for system of monotone nonlinear equations

AU - Waziri, Mohammed Yusuf

AU - Ahmed, Kabiru

AU - Sabi'u, Jamilu

PY - 2019/11/15

Y1 - 2019/11/15

N2 - 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).

AB - 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).

KW - Eigenvalue analysis

KW - Global convergence

KW - Hyperplane projection method

KW - Monotonicity property

KW - Nonlinear equations

UR - https://www.scopus.com/pages/publications/85067554749

U2 - 10.1016/j.amc.2019.06.012

DO - 10.1016/j.amc.2019.06.012

M3 - Article

AN - SCOPUS:85067554749

SN - 0096-3003

VL - 361

SP - 645

EP - 660

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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