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1. Convergence of an inexact generalized Newton method with a scaled residual control

Author

Śmietański, Marek J.

Subjects
*NEWTON-Raphson method, *STOCHASTIC convergence, *ITERATIVE methods (Mathematics), *EQUATIONS, *COMPUTER algorithms, *NUMERICAL analysis
Abstract

Abstract: The inexact generalized Newton method is an iterative method for solving systems of nonsmooth equations. In this paper, the iterative process with a relative residual control is presented and the conditions for local convergence to a solution are provided. These results can be applied to solve Lipschitz continuous equations under some mild assumptions. Moreover, a globally convergent version of the algorithm with a damped approach based on the Armijo rule is considered. [Copyright &y& Elsevier]

Published
2011
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