Journal of Optimization Theory and Applications

, Volume 32, Issue 3, pp 259–275 | Cite as

Reflections on nondifferentiable optimization, part 2, convergence

  • L. C. W. Dixon
  • M. Gaviano
Contributed Papers


This paper is concerned with the minimization of nondifferentiable functions. Three main results are obtained: (i) convergence of the ball-gradient algorithm, introduced by Dixon, for convex functions; (ii) convergence of the generalized gradient algorithm, as implemented by Shor and Ermol'ev, to a stationary point; and (iii) convergence of an algorithm introduced by Goldstein to a local minimum.

Key Words

Nondifferentiable optimization subgradients ball gradients 


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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • L. C. W. Dixon
    • 1
  • M. Gaviano
    • 2
  1. 1.Numerical Optimization CenterHatfield PolytechnicHatfieldEngland
  2. 2.Istituto MatematicoUniversita' di CagliariCagliariItaly

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