Derivative-free method based on DFP updating formula for solving convex constrained nonlinear monotone equations and application

Aliyu Muhammed Awwal; Poom Kumam; Kanokwan Sitthithakerngkiet; Abubakar Muhammad Bakoji; Abubakar Sani Halilu; Ibrahim Mohammed Sulaiman; Intelligent

doi:https://doi.org/10.3934/math.2021510

doi.org/10.3934/math.2021510

Derivative-free method based on DFP updating formula for solving convex constrained nonlinear monotone equations and application

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..., Intelligent

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AIMS mathematics2.20

Volume: 6, Issue: 8, Pages: 8792 - 8814

Published: Jan 1, 2021

Abstract

In this paper, a new derivative-free approach for solving nonlinear monotone system of equations with convex constraints is proposed. The search direction of the proposed algorithm is derived based on the modified scaled Davidon-Fletcher-Powell (DFP) updating formula in such a way that it is sufficiently descent. Under some mild assumptions, the search direction is shown to be bounded. Subsequently, the convergence result of the...

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Paper Details

Title

Derivative-free method based on DFP updating formula for solving convex constrained nonlinear monotone equations and application

DOI

doi.org/10.3934/math.2021510

Published Date

Jan 1, 2021

Journal

AIMS mathematics

Volume

6

Issue

8

Pages

8792 - 8814

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