该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
结果表明，该方法计算速度快、精度高，解决了求解非线性方程组解的模糊性问题，确保了测试结果的可靠性。
It is shown that the method is quick and precise, and the problem of the ambiguity for nonlinear equations and the measurement reliability are solved.
通过求解由一阶泰勒展开式得到的线性方程组，避免了为求解此平面而求解非线性方程组最小二乘解的过程，使算法简化。
The first order Taylor series expansion replaces the non-linear equation used in solving this plane, and thus simplifies the algorithm.
在一些假定条件下，证明了最优控制为一非线性方程组的解。
Under certain conditions, it is proved that optimal control law is the solution of nonlinear equations.
论述了螺旋锥齿轮动力学研究的三种主要方法，即加载接触分析（LTCA）、解多维非线性方程组的方法，以及加载接触分析与周向振动模型结合的仿真分析方法。
The first method was loaded tooth contact analysis(LTCA), the second method was to solve nonlinear dynamics equation and the third method is to integrate torsional vibration model with LTCA.
本文定义了多项式的B-网结式，讨论了B-网结式的性质和B-网结式与非线性方程组的解之间的关系。
The B-net resultant of polynomials is defined, and its properties and the relations between it and the solutions of a system of nonlinear equations are discussed.
求得了速度和温度的耦合非线性方程组的近似解。
Approximate solutions for the coupled non-linear equations are obtained for the velocity and the temperature.
此外，一般来说，非线性方程组的解不能使用自由基来表示。
Moreover, in general, the solution of a nonlinear set of equations can't be expressed using radicals.
首先把模糊非线性方程组转变成非线性规划，再用非线性规划中的方法或软件来解。
We transfer fuzzy system of nonlinear equations into a nonlinear programming. Then, some methods of nonlinear programming are used.
还给出了计算此非线性方程组解的递推算法和程序框图。
To solve the equations numerically, a recurrent algorithm and its corresponding flow chart was also given in this paper.
除了方差分析法外，他们都需要解一个非线性方程组，一般都没有显式解，只能获得迭代解。
Except the Analysis of Variance Estimator, these approaches all need to solve a non-linear equation, which does not have explicit solution, and only has an iteration solution in general.
然后用牛顿法求解这一非线性方程组，得到二次锥规划问题的最优解。
Then Newton's methods are applied to the system to obtain the optimal solutions of SOCP.
然后用牛顿法求解这一非线性方程组，得到二次锥规划问题的最优解。
Then Newton's methods are applied to the system to obtain the optimal solutions of SOCP.
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