New Formula on the Conjugate Gradient Method for Unconstrained Optimization and its Application

Ranen M.  Sulaiman; Zeyad M.  Abdullah; Basim A.   Hassan

doi:10.24996/ijs.2024.65.9.32

Authors

Ranen M. Sulaiman Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul, Iraq https://orcid.org/0000-0003-2760-232X
Zeyad M. Abdullah Department of Mathematics, College of Computers Sciences and Mathematics, University of Tikrit, Iraq
Basim A. Hassan Department of Mathematics, College of Computers Sciences and Mathematics, University of Tikrit, Iraq https://orcid.org/0000-0003-3510-9818

DOI:

https://doi.org/10.24996/ijs.2024.65.9.32

Keywords:

Conjugate gradient method, formula conjugate gradient, Global convergence

Abstract

In this paper, we have presented a new formula by applying the conjugacy condition for the second-order Taylor expansion. In comparison with classic conjugate gradient methods, the new formula uses both available gradient and function value information. The formula's global convergence findings are described. Numerical results demonstrate that this strategy is effective and its application.