Hybrid Newton-Type Method for a Class of Semismooth Equations |
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Authors: | Pieraccini S. |
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Affiliation: | (1) Dipartimento di Energetica S. Stecco, Università di Firenze, Firenze, Italy |
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Abstract: | In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct search method. We prove that, under standard assumptions, the method is globally convergent with a local rate of convergence which is superlinear or quadratic. We report also several numerical results obtained applying the method to suitable reformulations of well-known nonlinear complementarity problems. |
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Keywords: | Nonsmooth systems generalized Newton methods hybrid methods global convergence |
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