The expression commonly given in the literature for the inherent error involved in the Newton-Raphson method is incorrect. New criteria are here derived which may be ...

Let be one of the likelihood functions described in the previous subsections. Let . Finding such that is maximized is equivalent to finding the solution to the likelihood equations With as the initial ...

The stability of Newton's methods for function minimization, or variants of it such as quasi-Newton or Newton-Raphson methods, can be improved by modifying the acceleration matrix by adding a scalar ...