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Article information
2024 , Volume 29, ¹ 3, p.81-91
Meansri K., Benrabia N., Ghiat M., Guebbai H., Hafaidia I.
Introducing TTMDY, a three-term modified DY conjugate gradient direction for large-scale unconstrained problems
The main focus of our paper is a novel approach to enhance the MDY conjugate gradient direction. The key modification involves incorporating a third term, which plays a crucial role in determining the descent direction. By introducing this additional term, we transform the MDY conjugate gradient direction into a three-term conjugate gradient direction. This modification aims to improve the convergence properties of the algorithm and enhance its performance in solving optimization problems. In comparison to traditional MDY conjugate gradient methods, our approach demon- strates improved convergence properties and achieves higher solution quality. Numer- ical results confirm the superiority of our proposed method in terms of optimization performance. This highlights the potential of our modified approach to effectively tackle a wide range of optimization problems in various domains. The results of our numerical experiments provide strong evidence of the efficacy of our modified three- term conjugate gradient direction.
Keywords: direction, three-term conjugate gradient direction, descent condition, global convergence, Wolfe line search conditions, numerical tests
doi: 10.25743/ICT.2024.29.3.007
Author(s):
Meansri Khaoula
Position: Student
Office: University of Mohamed Cherif Messaadia Souk Ahras
Address: 41000, Algiers, Souk Ahras, BP1553
E-mail: k.meansri@univ-soukahras.com
Benrabia Noureddine
PhD. , Associate Professor
Position: Associate Professor
Office: University of Mohamed Cherif Messaadia Souk Ahras
Address: 41000, Algiers, Souk Ahras, BP1553
E-mail: n.benrabia@univ-soukahras.dz
Ghiat Mourad
PhD. , Associate Professor
Position: Associate Professor
Office: University 8 may 1945
Address: Algiers, Guelma, BP 314, BP1553
E-mail: mourad.ghi24@gmail.com
Guebbai Hamza
PhD. , Professor
Position: Professor
Office: University 8 may 1945
Address: 24000, Algiers, Guelma, BP 401
E-mail: guebaihamza@yahoo.fr
Hafaidia Imane
PhD. , Associate Professor
Position: Associate Professor
Office: University 8 may 1945
Address: 24000, Algiers, Guelma, BP 401
E-mail: hafaidia.imane@yahoo.com
Bibliography link:
Meansri K., Benrabia N., Ghiat M., Guebbai H., Hafaidia I. Introducing TTMDY, a three-term modified DY conjugate gradient direction for large-scale unconstrained problems // Computational technologies. 2024. V. 29. ¹ 3. P. 81-91
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