New Formula on the Conjugate Gradient Method for Unconstrained Optimization and its Application

In this paper, we have presented a new formula by applying the conjugacy condition for the second-order Taylor expansion. In comparison with classic conjugate gradient methods, the new formula uses both available gradient and function value information. The formula's global convergence findings are described. Numerical results demonstrate that this strategy is effective and its application.

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Publication Details

Journal
Iraqi Journal of Science
Published
2024-09-30
DOI
https://doi.org/10.24996/ijs.2024.65.9.32
Primary Topic
Advanced Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
0.00
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article

New Formula on the Conjugate Gradient Method for Unconstrained Optimization and its Application

Basim A. Hassan, Zeyad M. Abdullah, Ranen M. Sulaiman
Iraqi Journal of Science
Advanced Optimization Algorithms Research
article

New Formula on the Conjugate Gradient Method for Unconstrained Optimization and its Application

Basim A. Hassan, Zeyad M. Abdullah, Ranen M. Sulaiman
article en

Abstract

In this paper, we have presented a new formula by applying the conjugacy condition for the second-order Taylor expansion. In comparison with classic conjugate gradient methods, the new formula uses both available gradient and function value information. The formula's global convergence findings are described. Numerical results demonstrate that this strategy is effective and its application.

Iraqi Journal of Science
University of Mosul (IQ), University of Tikrit (IQ)
Openalex Percentile: Top 74%
Advanced Optimization Algorithms Research
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