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

5 Citations (Scopus)

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
Pages (from-to)	1459-1474
Number of pages	16
Journal	Numerical Algorithms
Volume	95
Issue number	3
DOIs	https://doi.org/10.1007/s11075-023-01616-8
Publication status	Published - Mar 2024
Externally published	Yes

Keywords

65K05
90C52
90C56
94A08
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 = "65K05, 90C52, 90C56, 94A08, Global convergence, Image restoration, Monotone nonlinear equations, Projection algorithm",

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

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.",

year = "2024",

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

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T1 - Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

AU - Abdullahi, Muhammad

AU - Abubakar, Auwal Bala

AU - Muangchoo, Kanikar

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.

PY - 2024/3

Y1 - 2024/3

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 - 65K05

KW - 90C52

KW - 90C56

KW - 94A08

KW - Global convergence

KW - Image restoration

KW - Monotone nonlinear equations

KW - Projection algorithm

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VL - 95

SP - 1459

EP - 1474

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 3

ER -

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

Abstract

Keywords

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