Journal article

Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations


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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≤−cFk∥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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Last updated on 2022-29-11 at 11:35