Newton法的一种变形

A Variant of Newton Method

摘要: 提出并讨论了一种求解无约束极小化问题
minf(x), x∈Rⁿ,n≥3 (*)
的算法。该算法可以看作Newton法的一种改进形式,它比Newton法具有更好的有限步终止性。同时,和Newton法一样,它也具有局部收敛性和二级收敛速率。

Abstract: Propose an algorithm for solving unconstrained minimizing problem
minf(x) (x∈Rⁿ, n≥ 3)
This algorithm may be considered as an improved version of Newton method. It is superior to Newton method in finite termination, and it also has local convergence and quardratic convergence rate as Newton method does.