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2006, Volume 2, Issue 3: 319-338. Doi: 10.3934/jimo.2006.2.319
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A derivative-free method for linearly constrained nonsmooth optimization

  • 1.

    Centre for Informatics and Applied Optimization, School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Victoria, 3353

Received:  November 30, 2005
Revised:  March 31, 2006
Published:  June 2006
Abstract Related Papers Cited by
    Abstract
  • This paper develops a new derivative-free method for solving linearly constrained nonsmooth optimization problems. The objective functions in these problems are, in general, non-regular locally Lipschitz continuous function. The computation of generalized subgradients of such functions is difficult task. In this paper we suggest an algorithm for the computation of subgradients of a broad class of non-regular locally continuous Lipschitz functions. This algorithm is based on the notion of a discrete gradient. An algorithm for solving linearly constrained nonsmooth optimization problems based on discrete gradients is developed. We report preliminary results of numerical experiments. These results demonstrate that the proposed algorithm is efficient for solving linearly constrained nonsmooth optimization problems.
    Mathematics Subject Classification: Primary: 65K05; Secondary:90C25.

    Citation:
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