majorant meaning in English

强函数
强级数

In the second chapter , we used the two deformed newton which was discussed in the chapter 1 to solve the problem of finding the roots of nondifferentiable equations and established convergence theorems using majorant method
在第二章中，用第一章讨论过的两种牛顿迭代来解决不可导方程的求根问题。并且用优序列方法给出了收敛性定理。
As we know , many results on analytic solutions of iterative equations are obtained by constructing a majorant series . for technical reasons , in previous works an indeterminate constant a , as the eigenvalue of the linearization of unknown function at its fixed point , is required to be off the unit circle or lie on the circle with the diophantine condition
已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数不在单位圆周上或者在单位圆周上但满足diophantine条件。