A New Spectral on the Gradient Methods for Unconstrained Optimization Minimization Problem

Volume 22 , Issue 2 , December 2020 , Pages 217-244

Authors

Basim A. Hassan 1 ; Hawraz N. Jabbar 2

1 Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul, Iraq.

2 Department of Mathematics, College of Sciences, University of Kirkuk, Iraq.

DOI logo 10.17656/jzs.10822

Keywords

Abstract

One simple and well-known method for minimizing the functions is a spectral conjugate gradient method. In this paper, we derive a new spectral on the  method of gradient, which can give a new path of search. The new spectral method holds the property of descent and we have shown that the spectral method is convergent globally. The empirical results show that for the test problems, the given approach is competitive with the other conjugate gradient methods.

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  • Published at20 December 2020

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