Journal article
Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations
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Publication Details Author list: M. Koorapetse & P. Kaelo Publication year: 2020 Volume number: 28 Issue number: 4 URL: https://joems.springeropen.com/articles/10.1186/s42787-019-0066-1 Languages: English |
In this paper, we propose a self adaptive spectral conjugate gradient-based projection method for systems of nonlinear monotone equations. Based on its modest memory requirement and its efficiency, the method is suitable for solving large-scale equations. We show that the method satisfies the descent condition FTkdk≤−c∥Fk∥2,c>0, and also prove its global convergence. The method is compared to other existing methods on a set of benchmark test problems and results show that the method is very efficient and therefore promising.
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