General Letters in Mathematics

Volume 11 - Issue 1 (1) | PP: 1 - 9 Language : English
DOI : https://doi.org/10.31559/glm2021.11.1.1
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Global convergence of new three terms conjugate gradient for unconstrained optimization

Ahmed Anwer Mustafa ,
Salah Gazi Shareef
Received Date Revised Date Accepted Date Publication Date
15/7/2021 18/8/2021 25/8/2021 26/10/2021
Abstract
n this paper, a new formula of 𝛽𝑘 is suggested for the conjugate gradient method of solving unconstrained optimization problems based on three terms and step size of cubic. Our new proposed CG method has descent condition, sufficient descent condition, conjugacy condition, and global convergence properties. Numerical comparisons with two standard conjugate gradient algorithms show that this algorithm is very effective depending on the number of iterations and the number of functions evaluated.


How To Cite This Article
Mustafa , A. A. & Shareef , S. G. (2021). Global convergence of new three terms conjugate gradient for unconstrained optimization . General Letters in Mathematics, 11 (1), 1-9, 10.31559/glm2021.11.1.1

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