Effect Conjugate Gradient Method for Solving Nonlinear Optimization Problems

Conjugate gradient techniques are widely used to solve unconstrained optimization issues. The accelerated conjugate gradient approach provides superior numerical effects for the unconstrained optimization problems as compared to the conjugate gradient method. In this work, we provide a modified conjugate gradient approach that produces the direction of descent via Wolfe line search. We demonstrate that the suggested approach is globally convergent under moderate circumstances. The suggested approach is significant for our test functions, according to numerical data.

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Published
2024-11-07
DOI
https://doi.org/10.1109/ismsit63511.2024.10757267
Primary Topic
Advanced Optimization Algorithms Research
Type
article
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article

Effect Conjugate Gradient Method for Solving Nonlinear Optimization Problems

Basim A. Hassan, Ahmed S. Ahmed
Advanced Optimization Algorithms Research
article

Effect Conjugate Gradient Method for Solving Nonlinear Optimization Problems

Basim A. Hassan, Ahmed S. Ahmed
article en

Abstract

Conjugate gradient techniques are widely used to solve unconstrained optimization issues. The accelerated conjugate gradient approach provides superior numerical effects for the unconstrained optimization problems as compared to the conjugate gradient method. In this work, we provide a modified conjugate gradient approach that produces the direction of descent via Wolfe line search. We demonstrate that the suggested approach is globally convergent under moderate circumstances. The suggested approach is significant for our test functions, according to numerical data.

University of Mosul (IQ)
Openalex Percentile: Top 63%
Advanced Optimization Algorithms Research
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