Newton Method for Solving Non-negative Constraint Optimization Problems

The Newton method for solving non-negative constraint problems is proposed. When the non-negative constraints have no effect on the opimal solution of problems, the new method is equivalent to Newton method; When the non-negative constraints have effect on the optimal solution, it is still of local convergency and can quickly canverge to the boundary point of non-negative constraint problems at the quadratic rate of comverbence.