A generalized Jacobian based Newton method for semismooth block-triangular system of equations

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摘要

This paper will consider the problem of solving the nonlinear system of equations with block-triangular structure. A generalized block Newton method for semismooth sparse system is presented and a locally superlinear convergence is proved. Moreover, locally linear convergence of some parameterized Newton method is shown.

论文关键词：65H10,Nonsmooth equations,Semismooth sparse systems,Generalized Newton method,Parametrization of Newton method

论文评审过程：Received 14 December 2005, Revised 5 May 2006, Available online 15 June 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.05.003