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A new trust region method for nonsmooth equations

Published online by Cambridge University Press:  17 February 2009

Y. F. Yang
Y. F. Yang
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, China; e-mail: [email protected].
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Abstract

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We propose a new trust region algorithm for solving the system of nonsmooth equations F(x) = 0 by using a smooth function satisfying the Jacobian consistency property to approximate the nonsmooth function F(x). Compared with existing trust region methods for systems of nonsmooth equations, the proposed algorithm possesses some nice convergence properties. Global convergence is established and, in particular, locally superlinear or quadratical convergence is obtained if F is semismooth or strongly semismooth at the solution.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 4 , April 2003 , pp. 595 - 607
Copyright
Copyright © Australian Mathematical Society 2003

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