Convergence of a two-parameter family of conjugate gradient methods with a fixed formula of stepsize

  • Bouaziz Khelifa
  • Laskri Yamina
Keywords: unconstrained optimization, conjugate gradient methods, global convergence, stepsize, line search

Abstract

We prove the global convergence of a two-parameter family of conjugate gradient methods that use a new and different formula of stepsize from Wu \cite%
{14}. Numerical results are presented to confirm the effectiveness of the proposed stepsizes by comparing with the stepsizes suggested by Sun and his colleagues \cite% {2, 12}.\\

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Author Biographies

Bouaziz Khelifa
Department of mathematics\\ Badji mokhtar University\\ Annaba, Algeria.\\
Laskri Yamina
Department of mathematics\\ Badji mokhtar University\\ Annaba, Algeria.\\

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Published
2019-05-25
Section
Articles