Abstract: On the basis of an equivalent form of the aggregate function, we proposed the modified aggregate constraint homotopy method, which makes the initial parameterized feasible set contain and approach the feasibleset of the original nonlinear optimization problems from the exterior as the parameter reduces to 0. Hence the modified aggregate constraint homotopy method can solve the K-K-T point close to the boundary of the feasible set, as the aggregate constraint homotopy method may not solve. Moreover, the modified aggregate constraint homotopy method also enlarges the choice scope of the initial point.

Key words: aggregate constraint homotopy method, nonlinear optimization problem, initial point