An Optimum Line Search for Unconstrained Non-Polynomial Test Functions using Nonlinear Conjugate Gradient Methods

Document Type : Full Length Article

Authors

1 Department of Physical Sciences, Alhikmah University, Ilorin, Nigeria

2 Department of Mathematics, Federal University Oye-Ekiti, Oye-Ekiti,Nigeria

Abstract

The nonlinear conjugate gradient method solves issues of the frame:
minimizef(▁x),▁x∈R
employing an iterative plot, ▁x^((k+1))=▁x^((k))+α_k ▁d^((k)), where f is a non-polynomial function.
We utilized two variants of the optimum line search namely, direct and indirect methods, to compute the step-length in this paper. Both line searches yielded a great outcome when employed to a few unconstrained non-polynomial test functions.

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