Journal of the Ramanujan Mathematical Society
Volume 33, Issue 1, March 2018 pp. 75–89.
An improved derivative-free method via double direction approach for solving systems of nonlinear equations
Authors:
Abubakar S. Halilu and M. Y. Waziri
Author institution:Department of Mathematics and Computer Science, Sule Lamido University, Kafin Hausa, Jigawa, Nigeria
Summary:
We present some double direction method for solving largescale
system of nonlinear equations. This method used the special form of
iteration by introducing the two direction vectors in different ways. The
approximation to the Jacobian matrix is done by sufficiently constructed
diagonal matrix via acceleration parameter as well as derivative-free
line search procedure. The proposed method is proved to be globally
convergent under mild condition. Finally, numerical comparison using a
large scale benchmark test problems show that the proposed method is
very promising.
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