The dogleg method is a classical trust-region technique for globalizing Newtonâ€™s method. While it is widely used in optimization, including large-scale optimization via truncatedNewton approaches,â€¦ (More)

A Newtonâ€“Krylov method is an implementation of Newtonâ€™s method in which a Krylov subspace method is used to solve approximately the linear subproblems that determine Newton steps. To enhanceâ€¦ (More)

Consider an under-determined system of nonlinear equations F (x) = 0, F : IR â†’ IR, where F is continuously differentiable and m > n. This system appears in a variety of applications, includingâ€¦ (More)