算术平方根

本文给出了在预定精确度下用迭代法计算算术平方根的方法，并分析了迭代的误差，给出了预定精确度下初始值的一个选取范围。

This paper gives a method to calculate the arithmetic square root by iteration with given accuracy , analyses the iteration error and provides a selected range of initial value with the given accuracy .

加固后墙体受剪承载力增量与面层砂浆强度等级值的算术平方根、面层配筋率呈线性递增关系。

A linearly increasing relationship is found between the shear capacity increment and the arithmetic square root of the value of strength grade of the mortar used for the layers as well as the reinforcement ratio of the layers .

利用特征根的Lagrange插值多项式，给出了半正定矩阵算术平方根的表示，即公式解，避免了求过渡矩阵的繁琐过程。

Representations of square roots of semi-positive matrices by Lagrange 's interpolation polynomial , namely formula representations were given , which will avoid the computation of transfer matrix .

用迭代法计算预定精确度下的算术平方根

Using iteration to calculate square root with given accuracy

半正定矩阵算术平方根的表示

Square root s representations of semi - positive matrices

当特征根难以求出而特征根的对称式易求时，半正定矩阵的算术平方根可直接由矩阵的本身的性质来表示。

On the other hand , square roots of semi-positive matrices can be expressed by the symmetric expression of eigenvalues , if the eigenvalues of semi-matrices are difficult to compute .