It is also a further improvement to the Newton-PCG algorithms.Moreover, by applying the Newton-PCG method and automatic differentiation, one new inexact method of tangent hyperbolas is proposed.

• 进一步将自动微分应用于牛顿-PCG型算法，构造了新算法，并从理论上证明了使用自动微分的牛顿-PCG型算法有非常显著的进一步的改进。