When Newton's method is used to find a root of a map from a Banach space into itself and the derivative is singular at that root, convergence of the Newton sequence is in general linear. In this paper ...
Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...
The nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve, especially with Newton's method. In this paper, we apply to the Richards equation, a strategy that ...
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