The method is initialization independent and can provide a mathematical and computational guarantee that all solutions of an nonlinear equation are enclosed . " if interval newton algorithm can not find any solution , it can be concluded that there is no solution in the given interval vector 由于能自动处理舍入误差，区间牛顿法不仅能够在理论上，而且能够在计算上保证找到非线性方程组的所有解；若使用区间牛顿法不能找到任何实数解，则可断定在给定的区间向量范围内方程组无解。
In this chapter , the location algorithm the possible ambiguity and non - solution of nonlinear algorithm the accuracy of tdoa location are analyzed and simulated . the relations between stations placement and them are presented respectively . finally , several methods to solve ambiguity and non - solution problems are purposed , which are very useful to the practical projects 在提取到准确的时差信号后，论文第四部分就如何获取精确的目标辐射源位置，即定位算法进行了研究，主要分析了非线性定位方程组的求解技术及其与之相关的定位精度、定位模糊、定位无解问题，并且分析和仿真了各个因素对它们的影响，特别是它们与布站形式之间的关系对工程实现具有极大的指导作用。
In the process of solving , poles are obtained from recurrent formula , modal vector are obtained from superposition formula not residuary . decoupled equation is derived when vibration source is part correlation , severely coupling appears in the process of input and output then frequency response function cannot directly get according to method mentioned above , decoupling is first problem 当输入完全相关时,频响函数无解,可绕过频响函数,直接运用线性系统的迭加原理来求响应,极点由递归公式得出,模态矢量由叠加公式求出,而不是由留数求得的相应的公式。
At the same time , the implemental approaches of the genetic algorithm for water supply systems including both fixed and variable speed pumps were introduced . the direct optimal operation model and two - stage optimal operation model of water supply systems with one or more tanks were proposed , according to the hydraulic characteristic of storage tanks . appropriate fitness function of genetic algorithm was designed to solve upper level optimization and lower level optimization in two - stage optimal model 在分析了蓄水池数学模型的基础上，建立了含有蓄水池的供水系统优化调度二级寻优模型和直接优化模型，并设计了遗传算法适应度函数分别求解二级寻优模型中的一级、二级寻优，针对二级寻优出现无解的情况，提出了放松约束处理和对一级寻优得到的最优水池水位进行修正的方法。
