NEWUOA is a software developped by M.J.D. Powell for unconstrained optimization
without derivatives					

The NEWUOA seeks the least value of a function  F(x)  (x is a vector of
dimension  n ) when  F(x)  can be calculated for any vector of variables  x .
The algorithm is iterative, a quadratic model being required at the beginning
of each iteration, which is used in a trust region procedure for adjusting the
variables. When the quadratic model is revised, the new model interpolates  F
at  m points, the value m=2n+1 being recommended.