ALGORITHM FOR SOLVING NONLINEAR MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS

Rana Z. Al-Kawaz; Auwal Bala Abubakar; Abdulkarim Hassan Ibrahim; Konrawut Khammahawong

doi:10.23952/jnfa.2023.37

ALGORITHM FOR SOLVING NONLINEAR MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS

Rana Z. Al-Kawaz
, Auwal Bala Abubakar
, Abdulkarim Hassan Ibrahim
, Konrawut Khammahawong^*

^*Corresponding author for this work

Interdisciplinary Research Center for Smart Mobility and Logistics

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

Abstract

Systems of nonlinear equations are frequently encountered in science and engineering, and finding practical approaches to solve them is important. In this paper, an algorithm for solving systems of nonlinear equations is proposed. The proposed method is obtained by combing a modified spectral gradient method and the projection technique. Under standard assumptions, the global convergence of the proposed method is established. The reported numerical results show that the method is efficient.

Original language	English
Article number	37
Journal	Journal of Nonlinear Functional Analysis
Volume	2023
DOIs	https://doi.org/10.23952/jnfa.2023.37
State	Published - 2023

Bibliographical note

Publisher Copyright:
©2023 Journal of Nonlinear Functional Analysis.

Keywords

Conjugate gradient method
Derivative-free technique
Nonlinear monotone operator equations

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Fluid Flow and Transfer Processes
Control and Optimization

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10.23952/jnfa.2023.37

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title = "ALGORITHM FOR SOLVING NONLINEAR MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS",

abstract = "Systems of nonlinear equations are frequently encountered in science and engineering, and finding practical approaches to solve them is important. In this paper, an algorithm for solving systems of nonlinear equations is proposed. The proposed method is obtained by combing a modified spectral gradient method and the projection technique. Under standard assumptions, the global convergence of the proposed method is established. The reported numerical results show that the method is efficient.",

keywords = "Conjugate gradient method, Derivative-free technique, Nonlinear monotone operator equations",

author = "Al-Kawaz, \{Rana Z.\} and Abubakar, \{Auwal Bala\} and Ibrahim, \{Abdulkarim Hassan\} and Konrawut Khammahawong",

note = "Publisher Copyright: {\textcopyright}2023 Journal of Nonlinear Functional Analysis.",

year = "2023",

doi = "10.23952/jnfa.2023.37",

language = "English",

volume = "2023",

journal = "Journal of Nonlinear Functional Analysis",

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AU - Al-Kawaz, Rana Z.

AU - Abubakar, Auwal Bala

AU - Ibrahim, Abdulkarim Hassan

AU - Khammahawong, Konrawut

PY - 2023

Y1 - 2023

N2 - Systems of nonlinear equations are frequently encountered in science and engineering, and finding practical approaches to solve them is important. In this paper, an algorithm for solving systems of nonlinear equations is proposed. The proposed method is obtained by combing a modified spectral gradient method and the projection technique. Under standard assumptions, the global convergence of the proposed method is established. The reported numerical results show that the method is efficient.

AB - Systems of nonlinear equations are frequently encountered in science and engineering, and finding practical approaches to solve them is important. In this paper, an algorithm for solving systems of nonlinear equations is proposed. The proposed method is obtained by combing a modified spectral gradient method and the projection technique. Under standard assumptions, the global convergence of the proposed method is established. The reported numerical results show that the method is efficient.

KW - Conjugate gradient method

KW - Derivative-free technique

KW - Nonlinear monotone operator equations

UR - https://www.scopus.com/pages/publications/85185537704

U2 - 10.23952/jnfa.2023.37

DO - 10.23952/jnfa.2023.37

M3 - Article

AN - SCOPUS:85185537704

SN - 2052-532X

VL - 2023

JO - Journal of Nonlinear Functional Analysis

JF - Journal of Nonlinear Functional Analysis

M1 - 37

ER -

ALGORITHM FOR SOLVING NONLINEAR MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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