Journal of Optimization Theory and Applications

, Volume 69, Issue 1, pp 129–137

Efficient generalized conjugate gradient algorithms, part 1: Theory

  • Y. Liu
  • C. Storey
Contributed Papers

DOI: 10.1007/BF00940464

Cite this article as:
Liu, Y. & Storey, C. J Optim Theory Appl (1991) 69: 129. doi:10.1007/BF00940464


The effect of inexact line search on conjugacy is studied in unconstrained optimization. A generalized conjugate gradient method based on this effect is proposed and shown to have global convergence for a twice continuously differentiable function with a bounded level set.

Key Words

Unconstrained optimizationhybrid and restart conjugate gradient methodsinexact line search

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Y. Liu
    • 1
  • C. Storey
    • 1
  1. 1.Department of Mathematical SciencesLoughborough University of TechnologyLoughboroughEngland