Newton method, invented by physicist Isaac Newton about 300 years ago, is an algorithm that still plays an important role in a wide range of fields, including logistics, financial engineering, ...
In this paper, we extend the classical Newton method for solving continuously differentiable systems of nonlinear equations to B-differentiable systems. Such B-differentiable systems of equations ...
A natural damping of Newton's method for nonsmooth equations is presented. This damping, via the path search instead of the traditional line search, enlarges the domain of convergence of Newton's ...
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