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An Improved HS Type Spectral Conjugate Gradient Method

Jing Li, Shujie Jing

Abstract


The spectral conjugate gradient (SCG) method was one of the most commomly used method to solve nonlinear
unconstrained optimization problems. In this paper, an improved HS spectral conjugate gradient method is proposed. Under
common assumptions, the descent and global convergence of this method are proved.

Keywords


Unconstrained optimization; Global convergence; Line search; Sufficient descend conditions

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References


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[3] Neculai Andrei. A new three-term conjugate gradient algorithm for unconstrained optimization[J].Numerical Algorithms,2015, 68(2):305-321.

[4] Wang G F, Shan R, Huang W, et al. Two newspectralconjugategradient algorithms based on Hestenes - Stiefel.J. Algorithms Comput. Technol. 2017,11(4):345–352.[5]Fang M L, Sun M, A modified DY spectral conjugate gradient method based on Wolfe line searching, Journal of Yangtze University(Nat Scl Edit),15(13)(2018) 7-10.




DOI: https://doi.org/10.18282/l-e.v10i3.2422

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