Journal of Hebei University (Natural Science Edition) ›› 2018, Vol. 38 ›› Issue (6): 561-566.DOI: 10.3969/j.issn.1000-1565.2018.06.001

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Modified nonmonotone memory gradient method for unconstrained optimization

SU Ke, REN Lele, RONG Zixing, XU Chun   

  1. College of Mathematics and Information Science, Hebei University, Baoding 071002, China
  • Received:2017-10-17 Online:2018-11-25 Published:2018-11-25

Abstract: A modified nonmonotone line search memory gradient method for unconstrained optimization is proposed in this paper. In this method, a new criterion is constructed to decide whether the trial point is acceptable or not. The presented algorithm is a generalization of the existing nonmonotone-type methods. Under some reasonable conditions, the global convergent properties are proved. The numerical results show that the algorithm is effective and flexible.

Key words: unconstrained optimization, memory gradient methods, global convergence, nonmonotone

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