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S. Ben Hanachi, B. Sellami, M. Belloufi / IJOCTA, Vol.15, No.1, pp.25-34 (2025)
Conflict of interest [8] Fletcher, R., & Reeves, C. M. (1964). Function
minimization by conjugate gradients. The com-
The authors declare no conflict of interest. puter journal, 7(2), 149-154. https://doi.org/
10.1093/comjnl/7.2.149
Author contributions [9] Salleh, Z., & Alhawarat, A. (2016). An effi-
cient modification of the Hestenes-Stiefel nonlin-
Conceptualization: Badreddine Sellami ear conjugate gradient method with restart prop-
Formal analysis: Sabrina Ben Hanachi erty. Journal of Inequalities and Applications,
Methodology: Mohammed Belloufi 110. https://doi.org/10.1186/s13660-016
-1049-5
Writing – original draft: Sabrina Ben Banachi
[10] Wei, Z., Li, G., and Qi, L. (2006). New nonlinear
Writing – review & editing: Sabrina Ben Hanachi
conjugate gradient formulas for large-scale uncon-
strained optimization problems. Applied Mathe-
matics and Computation, 179(2), 407-430. https:
Availability of data //doi.org/10.1016/j.amc.2005.11.150
[11] Yuan, G., Wei, Z., & Zhao, Q. (2014). A modi-
The data that support the findings of this study fied Polak–Ribi´ere–Polyak conjugate gradient al-
are available from the corresponding author upon gorithm for large-scale optimization problems.
reasonable request. IIE Transactions, 46(4), 397-413. https://doi.
org/10.1080/0740817X.2012.726757
[12] Wolfe, P. (1969). Convergence conditions for as-
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