system of non-homogeneous linear equations

Since the model is about a non-linear system of equations with parameters as insurance fee, loss amount and the self-payment amount, the thesis advances the numerical solution with a base on spline function and the Nelder-Mead simplex algorithm model. The numerical solution is highly accurate.

由于所得模型是一个关于保费、损失额与最优自付额的非线性方程组，本文提出了基于三次样条函数和单纯形法的模型的数值求解方法，该数值方法有很高的计算精度。

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The solution of the resulting system of equations ( both linear and non-linear ) is the general equilibrium.

为解决由此产生的方程组 ( 包括线性和非线性 ) 是一般均衡.

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In this paper, the principles and methods of solution of the non-linear system of equations of equal K value method, based on the theory of equilibrium of rigid bodies by means of method of optimization, are described.

本文论述了利用最优化方法求解刚体极限平衡等K值法的非线性方程组的原理和方法。

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Then, considering harmonic vibrations of the system, the non linear partial differential equations are converted into ordinary differential equations through elimination of the time variable by using the Kantorovich time averaging method.

分析了系统的自由横向谐振动，借助Kantorovich平均法消去时间变量，将偏微分控制方程转化为非线性常微分方程边值问题。

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The MAPLE software package is efficient in analytically solving the non-linear algebraic equations, by using which the initiate value and decaying time constant during each phase of power system electric-magnetic transient process are solved.

MAPLE软件包是吴方法用于解非线性代数方程的工具，用它可以解得电力系统突然短路电磁暂态过程中各阶段的初值和衰减时间常数。

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