用外插抛物线迭代法计算一元函数的极值问题

QUESTION ON CALCULATION OF MONADIC FUNCTION EXTREMUM BY USE OF THE EXTRAPOLATION PARABOLA ITERATIVE METHOD

本文介绍了不用求导数而直接求一无函数极值的外插抛物线迭代方法.另外,利用差商公式和本文给出并证明了的带余项的高价导函数插值公式,还分析和证明了外插抛物线迭代方法的收敛条件、收敛阶和误差估计.

In this paper the extrapolation parabola iterative method was presented for directly calculating the monadic function extremum without derivation. By using the difference coefficient formula and the interpolation polynomial of the derived function of higher order with the remainder term given and proved by the author, the convergence condition, the convergence order and the error estimation of the extrapolation parabola iterative method were also analysed and proved.