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Original Articles

A quasi-Newton method for unconstrained non-smooth problems

Pages 128-141 | Received 13 Jan 2014, Accepted 08 Nov 2014, Published online: 16 Dec 2014
 

Abstract

We present a method, based on a variational problem, for solving a non-smooth unconstrained optimization problem. We assume that the objective function is a Lipschitz continuous and a regular function. In this case the function of our variational problem is semismooth and a quasi-Newton method may be used to solve the variational problem. A convergence theorem for our algorithm and its discrete version is also proved. Preliminary computational results show that the method performs quite well and can compete with other methods.

2000 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author.

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