ISSN:
1573-2894
Keywords:
quasi-variational inequality
;
implicit complementarity problem
;
Newton method
;
semismoothness
;
generalized Jacobian
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract A variant of the Newton method for nonsmooth equations is applied to solve numerically quasivariational inequalities with monotone operators. For this purpose, we investigate the semismoothness of a certain locally Lipschitz operator coming from the quasi-variational inequality, and analyse the generalized Jacobian of this operator to ensure local convergence of the method. A simplified variant of this approach, applicable to implicit complementarity problems, is also studied. Small test examples have been computed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01299156
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