Hello everybody! I guess my question is mainly concerned with numerical algorithms... Given a problem of the form min w = f(x) subject to g1(x)=0 : : gn(x)=0 where x is a m x 1 vector, n < m. From a numerical standpoint, how can I know whether it is preferably to solve it by setting up the Lagrangian and solve the resulting system of m + n non linear equations with appropriate algorithms OR to implement an appropriate algorithm to solve the minimization problem directly? As far as my particular problem goes, let's say n = 2 and m = 25. Any help is more than appreciated!