由于工程最优化问题的复杂性，传统的最优化方法一般很难求解。

Because of the complexity of the project optimization problem, the traditional optimization method can hardly be used to solve.

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对于一般的无约束最优化问题及其特殊情况非线性最小二乘问题而言，信赖域方法是一种有效的方法。

Trust region method is a kind of efficient methods to solve the general unconstrained optimization and its special situation, the nonlinear least squares problems.

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对于一般几何模型的非线性最小均方误差拟合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的最优解。

Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.

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