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 ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

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 ...