Three Term Conjugate Gradient Technique and its Global Convergence based on the Zhang, Zhou and Li methods

  • Marwan S. Jameel

Abstract

The optimal conjugation coefficient distinguishes conjugate gradient methods such as two-term, three-term, and conditional from other descent methods. A novel conjugation parameter formula is constructed from Zhang, Zhou, and Li's well-known formula to formulate a three-term conjugation gradient method in the unconstrained optimization domain. The conjugation parameter  and the third term parameter were constructed by incorporating the Perry conjugation condition into Shanno's memory-free strategy of a conjugate gradient. The approach demonstrated a steeply sloped search direction for each iteration by demonstrating stability, global convergence, and sufficient descent analysis in the presence of a strong Wolf case. The empirical results established that the proposed method is more efficient than Zhang et al.'s techniques. Through the use of a collection of nonlinear mathematical functions.


 


http://dx.doi.org/10.25130/tjps.27.2022.029  

Published
Jun 3, 2022
How to Cite
JAMEEL, Marwan S.. Three Term Conjugate Gradient Technique and its Global Convergence based on the Zhang, Zhou and Li methods. Tikrit Journal of Pure Science, [S.l.], v. 27, n. 2, p. 84-90, june 2022. ISSN 2415-1726. Available at: <https://tjps.tu.edu.iq/index.php/j/article/view/1289>. Date accessed: 04 july 2022. doi: http://dx.doi.org/10.25130/j.v27i2.1289.
Section
Articles