Modifying Bfgs Method
In this paper, we propose a modiied BFGS method and study the global and superlinear convergence properties of this method. We show that under certain circumstances this modiied BFGS method corrects the eigenvalues better than the BFGS does. Our numerical results support this claim and also indicate that the modiied BFGS method may be competitive with the BFGS method in general. This modiied method can also be regarded as an implementation technique of the standard BFGS method.