An Improved HS Type Spectral Conjugate Gradient Method

  • Jing Li School of Mathematics and Information Science, Henan Polytechnic University
  • Shujie Jing School of Mathematics and Information Science, Henan Polytechnic University
Article ID: 2422
90 Views, 17 PDF Downloads
DOI: https://doi.org/10.18282/l-e.v10i3.2422
Keywords: Unconstrained optimization, Global convergence, Line search, Sufficient descend conditions

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.

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.

Published
2021-11-07
How to Cite
Li, J., & Jing, S. (2021). An Improved HS Type Spectral Conjugate Gradient Method. Learning & Education, 10(3), 142-143. https://doi.org/10.18282/l-e.v10i3.2422
Issue
Vol. 10 No. 3 (2021)

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