A modified hybrid conjugate gradient method for solving unconstrained non-linear optimization problems has been developed


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Authors

  • Chenna Nasreddine Souk Ahras University

DOI:

https://doi.org/10.59287/icpis.884

Keywords:

Optimization, Algorithm, Descent Direction, Line Search, Conjugate Gradient

Abstract

This paper presents a new hybrid conjugate gradient method, combining the Conjugate Descent (CD) and Al-Bayati & Al-Assady (BA) methods, for solving unconstrained optimization problems. We provide a convergence analysis of the proposed method and demonstrate its effectiveness through numerical examples.

Author Biography

Chenna Nasreddine, Souk Ahras University

Laboratory Mathematics and Informatics, Algeria

References

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Fletcher, Practical Methods of Optimization, vol. 1: Unconstrained Optimization, JohnWiley and Sons, New York, 1987.

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G. Zoutendijk, Nonlinear programming computational methods, in: J.Abadie (Ed.), Integer and Nonlinear Programming, North-Holland, 1970, pp. 37-86.

J.K. Liu, S.J. Li, New hybrid conjugate gradient method for unconstrained optimization, Applied Mathematics and Computation, 245 (2014) 36-43.

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Published

2023-06-20

How to Cite

Nasreddine, C. (2023). A modified hybrid conjugate gradient method for solving unconstrained non-linear optimization problems has been developed. International Conference on Pioneer and Innovative Studies, 1, 524–526. https://doi.org/10.59287/icpis.884