An alternative conjugate gradient approach for large-scale symmetric nonlinear equations
Abstract
Nonlinear conjugate gradient method is a popular approach for solving large-scale unconstrained optimization problems due to its simplest iterative form and low storage requirement. In this article, we proposed a derivative free alternative conjugate gradient approach for solving symmetric nonlinear equations. We show that the proposed method has global convergence properties under appropriate conditions. We also report some numerical results to show its efficiency.
Copyright © 2016 Mohammed Yusuf Waziri, Jamilu Sabi'u. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Y. Waziri, J. Sabi'u, An alternative conjugate gradient approach for large-scale symmetric nonlinear equations, J. Math. Comput. Sci. 6 (2016), 855–874.
BibTeX
@article{Waziri2016,
author = {Waziri, Mohammed Yusuf and Sabi'u, Jamilu},
title = {An alternative conjugate gradient approach for large-scale symmetric nonlinear equations},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {855--874},
doi = {}
}