A quasisecant method for solving a system of nonsmooth equations

Title: A quasisecant method for solving a system of nonsmooth equations
Creator: Long, Qiang; Wu, Changzhi
Date: 2013
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/60297
Identifier: vital:5132
Identifier: https://doi.org/10.1016/j.camwa.2013.05.018
Identifier: ISSN:0898-1221
Abstract: In this paper, the solution of nonsmooth equations is studied. We first transform the problem into an equivalent nonsmooth optimization problem and then the quasisecant method is introduced to solve it. Some nonsmooth equations that have arisen from bilevel programming problems are solved by our proposed method. The numerical results show the effectiveness and efficiency of our proposed method. Â© 2013 Elsevier Ltd. All rights reserved.
Relation: Computers and Mathematics with Applications Vol. 66, no. 4 (2013), p. 419-431
Rights: Copyright Elsevier
Rights: This metadata is freely available under a CCO license
Subject: 15 Commerce, Management, Tourism and Services; 08 Information and Computing Sciences; Newton's method; Nonsmooth optimization; Quasisecant method; System of nonsmooth equations; Bilevel programming problem; Effectiveness and efficiencies; Newton's methods; Nonsmooth equation; Nonsmooth optimization problems; Numerical results; Newton-Raphson method; Optimization; Numerical methods
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