正割迭代法在立交平面线形设计中的若干应用

Some Applications of the Secant Iteration Method to Interchange's Horizontal Alignment Design

在立交平面线形设计中存在一类线形相交计算问题。本文从非线性方程组的一般迭代解法出发，提出了适应该类问题的具有“随机搜索”修正功能的正割迭代法，并进一步阐述了该迭代法在一些求相交点问题中的具体应用。算例表明该这代法收敛速度快，对初解要求不高，适应各种平面线形，具有较高的计算精度。

There is a kind of problem of calculating alignments' intersections in interchange's horizon-tal alignment design,Starting from the general iteration methods of nonlinear equations set, this paperputs forward the secant iteration method which adapts to the above problem and has the corretive func-tion of random search, and then expounds some concrete applications,Some instances show that themethed has fast convergence speed,low requirement for initial selution, good adaption to varfousinterchange's horizontal alignments and high precision。