JOURNAL ARTICLE

Development a Hybrid Conjugate Gradient Algorithm for Solving Unconstrained Minimization Problems

Sawsan S. IsmaelBasim A. Hassan

Year: 2018 Journal:   Mağallaẗ al-tarbiyaẗ wa-al-ʻilm Vol: 27 (2)Pages: 58-70

Abstract

In this paper, a new hybrid nonlinear conjugate gradient method are presented, which produce sufficient descent search direction at every iteration. This method showed globally convergent under some assumptions. The numerical results show that all this new hybrid method are efficient for the given test problems.

Keywords:
Conjugate gradient method Nonlinear conjugate gradient method Gradient descent Derivation of the conjugate gradient method Minification Conjugate residual method Algorithm Gradient method Mathematics Descent (aeronautics) Convergence (economics) Mathematical optimization Nonlinear system Computer science Applied mathematics Artificial neural network Artificial intelligence Engineering

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Topics

Advanced Optimization Algorithms Research
Physical Sciences →  Mathematics →  Numerical Analysis
Optimization and Variational Analysis
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Iterative Methods for Nonlinear Equations
Physical Sciences →  Mathematics →  Numerical Analysis

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