A New Modified Nonlinear Conjugate Gradient Method with Sufficient Descent Property for Unconstrained Optimization

Motivated by some well-known conjugate gradient methods, in this paper, we propose a new hybrid conjugate gradient method for unconstrained optimization. Without any dependence on line search, the new method generates sufficient descent property. Under some mild conditions, we prove that the new met...

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Bibliographic Details
Published inEngineering letters Vol. 31; no. 3; p. 1
Main Authors Fang, Minglei, Wang, Min, Ding, Defeng, Sheng, Yuting
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 16.08.2023
Subjects
Algorithms
Conjugate gradient method
Optimization
Robustness (mathematics)
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Summary:Motivated by some well-known conjugate gradient methods, in this paper, we propose a new hybrid conjugate gradient method for unconstrained optimization. Without any dependence on line search, the new method generates sufficient descent property. Under some mild conditions, we prove that the new method with MWWP line search is globally convergent. Our numerical experiments show the effectiveness and robustness of the new modified method in comparison with three exiting algorithms.
ISSN:1816-093X
1816-0948