A Novel Auxiliary Function Method for Unconstrained Global Optimization

In this paper，we present novel stationary point of function method and quasi stationary point of function method for unconstrained global optimization problems to attain the global optimality by implement a series of local minimization.More concretely，the solution process consists of a two phase cycle of local minimization：the first phase execute local search of the original objective function.The second stage proposed implementation of this new stationary point of function or quasi stationary point of function minimization，while making the original objective function decreased.Finally，some numerical examples are checked by using Matlab7 11 which illustrate that the new stationary point of function method and quasi stationary point of function method are efficient.