Year: 2020
Type: article
Abstract: 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 $F_{k}^{T}d_{k}\leq -c\|F_{k}\|^{2}, c>0$ FkTdk≤−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.
Authors: M. Koorapetse, P. Kaelo
Institution: University of Botswana
Language: Latvian
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
OpenAlex ID: W3029239773