This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, ...

Newton-Raphson Optimization with Line Search (NEWRAP) The NEWRAP technique uses the gradient and the Hessian matrix ; thus, it requires that the objective function have continuous first- and ...

In a variety of problems involving models from genetics, latent-class analysis, and missing data, I apply a log-linear model to an indirectly observed frequency table. Current algorithms for ...

Maximum likelihood estimation of the parameters of a statistical model involves maximizing the likelihood or, equivalently, the log likelihood with respect to the parameters. The parameter values at ...