  This paper presents a canonical duality theory for solving a general
nonconvex constrained optimization problem within a unified framework to cover
Lagrange multiplier method and KKT theory. It is proved that if both target
function and constraints possess certain patterns necessary for modeling real
systems, a perfect dual problem (without duality gap)can be obtained in a
unified form with global optimality conditions provided. While the popular
augmented Lagrangian method may produce more difficult nonconvex problems due
to the nonlinearity of constraints.
