Generalized Newton-iterative method for semismooth equations

Authors:
Zhe Sun;Jinping Zeng;Hongru Xu
Affiliations:
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, People's Republic of China;College of Computer, Dongguan University of Technology, Dongguan, People's Republic of China;School of Mathematics, Jiaying University, Meizhou, People's Republic of China
Venue:
Numerical Algorithms
Year:
2011

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Abstract

In this paper, we propose a generalized Newton-iterative method for solving semismooth equations and the R-linear convergence is obtained for the method. Furthermore, we verify that the method is superlinearly convergent under appropriate assumptions. Numerical results are included to illustrate the theory.