📅 26 June 2024
DOI: 10.62383/bilangan.v2i4.136
An Investigation Of A New Hybrid Conjugates Gradient Approach For Unconstrained Optimization Problems
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Asosiasi Riset Ilmu Matematika dan Sains Indonesia (ARIMSI)
📄 Abstract
This work introduces a novel hybrid conjugate gradient (CG) technique for tackling unconstrained optimisation problems with improved efficiency and effectiveness. The parameter is computed as a convex combination of the standard conjugate gradient techniques using and . Our proposed method has shown that when using the strong Wolfe-line-search(SWC) under specific conditions, it achieves global theoretical convergence. In addition, the new hybrid CG approach has the ability to generate a search direction that moves downward with each iteration. The quantitative findings obtained by applying the recommended technique about 30 functions with varying dimensions clearly illustrate its effectiveness and potential.
🔖 Keywords
#Numerical optimization; Unconstrained objective function; Hybrid gradient methods; Global convergence; Numerical experiment
ℹ️ Informasi Publikasi
Tanggal Publikasi
26 June 2024
Volume / Nomor / Tahun
Volume 2, Nomor 4, Tahun 2024
📝 HOW TO CITE
Rahma F. Aziz; Maha S. Younis; Marwan S. Jameel, "An Investigation Of A New Hybrid Conjugates Gradient Approach For Unconstrained Optimization Problems," Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa, vol. 2, no. 4, Jun. 2024.
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