Step-size Estimation for Unconstrained Optimization Methods

  title={Step-size Estimation for Unconstrained Optimization Methods},
  author={Zhen-Jun Shi and Jie Shen},
Some computable schemes for descent methods without line search are proposed. Convergence properties are presented. Numerical experiments concerning large scale unconstrained minimization problems are reported. Mathematical subject classification:90C30, 65K05, 49M37. 

From This Paper

Topics from this paper.
4 Citations
25 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 25 references

Minimization of function having Lipschitz continuous first partial derivatives

  • L. Armijo
  • Pacific J. Math., 16
  • 1966
Highly Influential
6 Excerpts

Restricted PR conjuate gradient method and its convergence(in Chinese)

  • Z. J. Shi
  • Advances in Mathematics, 31(1)
  • 2002
Highly Influential
3 Excerpts

Numerical Optimization

  • J. Nocedal, J. S. Wright
  • Springer-Verlag New York, Inc.
  • 1999
Highly Influential
4 Excerpts

Two-point step size gradient methods

  • J. Barzilai, J. M. Borwein
  • IMA J. Numer. Anal., 8
  • 1988
Highly Influential
4 Excerpts

On steepest descent

  • A. A. Goldstein
  • SIAM J. Control, 3
  • 1965
Highly Influential
7 Excerpts

Cauchy’s method of minimization

  • A. A. Goldstein
  • Numer. Math. 4
  • 1962
Highly Influential
7 Excerpts

R-linear convergence of the Barzilai and Borwein gradient method

  • Y. H. Dai, L. Z. Liao
  • IMA J. Numer. Anal.,22
  • 2002
1 Excerpt

A spectral conjugate gradient method for unconstrained optimization

  • E. G. Birgin, J. M. Martinez
  • Appl. Math. Optim., 43
  • 2001

The Barzilai Borwein method-steepest descent method resurgent? Report in the International Workshop on "Optimization and Control with Applications

  • R. Fletcher
  • Erice, Italy, July
  • 2001
1 Excerpt

Similar Papers

Loading similar papers…