Journal article

A Scaled Derivative-Free Projection Method for Solving Nonlinear Monotone Equations


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Author list: M. Koorapetse, P. Kaelo & E. R. Offen

Publication year: 2019

Volume number: 45

Issue number: 3

Start page: 755

End page: 770

Number of pages: 16



Derivative-free projection methods are very effective and highly useful methods for solving large-scale nonlinear monotone equations. A lot of research is continuously being done to either improve the existing methods or come up with other new projection methods. In this paper, we propose a scaled derivative-free projection method for solving large-scale nonlinear monotone equations, which combines conjugate gradient and projection techniques. We establish its global convergence under appropriate conditions. The method is then compared with other existing methods in the literature and preliminary numerical results indicate that the method compares very well.


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Last updated on 2025-26-03 at 15:52