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- Title
On the derivative-free quasi-Newton-type algorithm for separable systems of nonlinear equations.
- Authors
Mohammad, Hassan; Muhammed Awwal, Aliyu; Bala Abubakar, Auwal; Salihu Ben Musa, Ahmad
- Abstract
A derivative-free quasi-Newton-type algorithm in which its search direction is a product of a positive definite diagonal matrix and a residual vector is presented. The algorithm is simple to implement and has the ability to solve large-scale nonlinear systems of equations with separable functions. The diagonal matrix is simply obtained in a quasi-Newton manner at each iteration. Under some suitable conditions, the global and R-linear convergence result of the algorithm are presented. Numerical test on some benchmark separable nonlinear equations problems reveal the robustness and efficiency of the algorithm.
- Subjects
NONLINEAR equations; ALGORITHMS
- Publication
RAIRO: Operations Research (2804-7303), 2021, Vol 55, Issue 6, p3293
- ISSN
2804-7303
- Publication type
Article
- DOI
10.1051/ro/2021154