Indonesian Journal of Electrical Engineering and Computer Science
Vol 27, No 1: July 2022

Using a new type of formula conjugate on the gradient methods

Basim A. Hassan (University of Mosul)
Ranen M. Sulaiman (University of Mosul)



Article Info

Publish Date
01 Jul 2022

Abstract

Unconstrained optimization problems, such as energy minimization, can be solved using the conjugate gradient method. For its major characteristic, the optimal formula conjugate encompasses all conjugate gradient algorithms. In conjugate gradient approaches, the formula conjugate is typically the focus point and it's playing a very important role for conjugate gradient approaches. To offer the essential descent criteria in this work, we devised a novel formula based on the second order Taylor which have the descent property too. Our research focused on our suggested method's-convergence property with Wolfe condition is established and numerical performance. Comparison to FR-method, the new algorithem shows significant improvement in numerical results.

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