Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

Muhammad Abdullahi; Auwal Bala Abubakar; Kanikar Muangchoo

doi:10.1007/s11075-023-01616-8

Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

Muhammad Abdullahi, Auwal Bala Abubakar, Kanikar Muangchoo^*

^*Corresponding author for this work

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

Abstract

In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.

Original language	English
Journal	Numerical Algorithms
DOIs	https://doi.org/10.1007/s11075-023-01616-8
Publication status	Accepted/In press - 2023
Externally published	Yes

Keywords

Global convergence
Image restoration
Monotone nonlinear equations
Projection algorithm

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10.1007/s11075-023-01616-8

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title = "Modified three-term derivative-free projection method for solving nonlinear monotone equations with application",

abstract = "In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.",

keywords = "Global convergence, Image restoration, Monotone nonlinear equations, Projection algorithm",

author = "Muhammad Abdullahi and Abubakar, {Auwal Bala} and Kanikar Muangchoo",

note = "Funding Information: The authors were financially supported by Rajamangala University of Technology Phra Nakhon (RMUTP) Research Scholarship. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

doi = "10.1007/s11075-023-01616-8",

language = "English",

journal = "Numerical Algorithms",

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AU - Abdullahi, Muhammad

AU - Abubakar, Auwal Bala

AU - Muangchoo, Kanikar

N1 - Funding Information: The authors were financially supported by Rajamangala University of Technology Phra Nakhon (RMUTP) Research Scholarship. Publisher Copyright: © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2023

Y1 - 2023

N2 - In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.

AB - In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.

KW - Global convergence

KW - Image restoration

KW - Monotone nonlinear equations

KW - Projection algorithm

UR - http://www.scopus.com/inward/record.url?scp=85165258359&partnerID=8YFLogxK

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DO - 10.1007/s11075-023-01616-8

M3 - Article

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SN - 1017-1398

JO - Numerical Algorithms

JF - Numerical Algorithms

ER -

Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

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Keywords

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