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All Journal Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Maha S. Younis
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Astronomy Mathematics

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An Investigation Of A New Hybrid Conjugates Gradient Approach For Unconstrained Optimization Problems Rahma F. Aziz; Maha S. Younis; Marwan S. Jameel
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 2 No. 4 (2024): Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v2i4.136

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.
Co-Authors Marwan S. Jameel Rahma F. Aziz