Volume 55, Number 5, September-October 2021
|Page(s)||2615 - 2629|
|Published online||20 September 2021|
A modified Perry-type derivative-free projection method for solving large-scale nonlinear monotone equations
Department of Mathematics, University of Botswana, Private Bag UB00704, Gaborone, Botswana
* Corresponding author: firstname.lastname@example.org
Accepted: 31 July 2021
In this paper, a new modified Perry-type derivative-free projection method for solving large-scale nonlinear monotone equations is presented. The method is developed by combining a modified Perry’s conjugate gradient method with the hyperplane projection technique. Global convergence and numerical results of the proposed method are established. Preliminary numerical results show that the proposed method is promising and efficient compared to some existing methods in the literature.
Mathematics Subject Classification: 65K10 / 90C06 / 90C30 / 65K05
Key words: Derivative-free / nonlinear monotone equations / Perry’s conjugate gradient method / projection technique
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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