Koorapetse, M., Kaelo, P. (2020). Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations. test, 28(1), 1-21. doi: 10.1186/s42787-019-0066-1
M. Koorapetse; P. Kaelo. "Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations". test, 28, 1, 2020, 1-21. doi: 10.1186/s42787-019-0066-1
Koorapetse, M., Kaelo, P. (2020). 'Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations', test, 28(1), pp. 1-21. doi: 10.1186/s42787-019-0066-1
Koorapetse, M., Kaelo, P. Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations. test, 2020; 28(1): 1-21. doi: 10.1186/s42787-019-0066-1

Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-21    PDF (594.27 K)
DOI: 10.1186/s42787-019-0066-1
Authors
M. Koorapetse; P. Kaelo
Department of Mathematics, University of Botswana, Private Bag UB00704 Gaborone, Botswana
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 FT
k dk ≤ −cFk2, 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.

Keywords
Self adaptive; Spectral conjugate gradient method; Nonlinear monotone equations
Statistics
Article View: 10
PDF Download: 17