A global optimized solution of nonlinear programming with equality constraints

This paper combines the penalty function method with an auxiliary function method for the global optimization problem without constraint.Firstly,we construct a penalty function of the nonlinear programming problem with equality constraints.The original problem can be transformed into an unconstrained problem.Then the auxiliary function method called GOM is used to solve the unconstrained penalty problem.Finally the global minimizer of the original nonlinear programming problem can be obtained.