In our study, a new kind of Newton-PCG like algorithms is derived and it is proved that they are superior to the exact Newton method by the theoretical analysis and numerical experiments.

• 本项目针对一般的无约束优化问题，研究这类算法的有效性的定量指标，并构造出理论上确保更为有效的算法，将该算法同牛顿法作了比较。