A New Sufficient Descent Conjugate Gradient Method for Unconstrained Optimization

摘要

In this paper, a new conjugate conjugate method with sufficient descent property is proposed for the unconstrained optimization problem. An attractive property of the new method is that the descent direction generated by the method always possess the sufficient descent property, and this property is independent of the line search used and the choice of β_(ki). Under mild conditions, the global convergence of the new method is proved.