For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex problems in logistics, finance, computer vision, and even pure math. This simple ...

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 ...

Abstract: In this paper, we introduce the regularized Newton method for multiobjective optimization. The method does not scalarize the original multiobjective optimization problem. For any vector ...

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 ...

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 ...