If Newton's method is employed to find a root of a map from a Banach space into itself and the derivative is singular at that root, linear convergence of the Newton sequence to the root is the best ...

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 ...