Abstract

Abstract
This thesis focuses on three categories of conjugate gradient algorithms. The first category is based on the addition of a third term in the MDY conjugate gradient direction using the three-term conjugate gradient approach.The second category adopts the spectral conjugate gradient algorithm, providing spectral improvement with the integration of a third term in the MDY conjugate gradient direction. Three different methods are used to determine this term, and the last category depends on making a modification to the MDY conjugate gradient method.The main objective of these modifications is to expedite the descent direction and improve the convergence properties of the algorithms by applying Wolfe line-search conditions. The numerical results from our experiments provide strong evidence of the effectiveness of our modified three-term algorithms.

Key words: Three-term conjugate gradient direction, Spectral correction, Conjugate gradient algorithms, Descent condition, Global convergence, Wolfe line search conditions, Numerical results.

Information

Item Type:	Thesis
Divisions:	» Faculty of Science and Technology
ePrint ID:	5164
Date Deposited:	2024-09-09
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/en/publication/article/5164

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