牛顿性

As for the optimization problem, the damped Gauss-Newton Method algorithm is employed for obtaining its solution, and analysis the global convergence of the algorithm, also, the superlinear convergence rate and two order convergence rate of the algorithm is given.

对该优化问题，我们用阻尼高斯牛顿算法求解，并对算法的全局收敛性和超线性收敛速度进行了分析。

The constraints with different linearity in this model are dealt with by an approach that combines successive linearization with piecewise linearization, and in the solving process the security and stability constraints of transmission lines are directly considered to avoid the low-efficiency of both model and solution due to the passive calibration and modifying working constraints in Newton method.

对模型中线性度不同的约束，采用逐次线性化和逐段线性化相结合的方法处理。在求解过程中直接考虑线路安全稳定约束，避免了牛顿法被动校验和变更约束带来的模型和求解的低效性。

The algorithm has quadratic convergence and can speed up the EM computation.

该方法基于拟牛顿加速算法，并结合一种带调整参数的Broyden对称秩1校正公式来实现，具有二次收敛性，提高了EM的计算速度，降低了计算复杂度。

In SHET, equations which represent relation of fundamental component and preparatory eliminated harmonic components are a system of nonlinear, transcendental equations that require the interative Newton-Raphson matrix method for its solution, and convergence in solution depends on whether or not starting value given is right.

特定消谐技术中，表征基波及各次谐波幅值与开关角关系的方程组为非线性超越方程组，一般只能采用牛顿迭代法等数值方法求解，而解的收敛性取决于所给初值的正确与否。

In Chapter 3, we propose two new quasi-Newton type trust region methods for solving unconstrained optimization problems. These algorithms combine two types of the preconvex part of modified Broydens family proposed in chapter 1 with trust region algorithm effectively, they have global convergence property and superlinear convergence rate.

第三章，给出了用来求解无约束最优化问题两种新的拟牛顿信赖域算法，这些算法将第一章给出的两种修改Broyden非凸族与信赖域算法有效结合起来，它们具有全局收敛性和超线性收敛速度。

The quasi-Newton recursive prediction error identification method has suchproperties as fast convergency,unbiasedness and numerical robustness.L.

预报误差的高斯一牛顿迭代法具有收敛快、无偏性和数据稳定性好的特点。L。

Under the assumptions of semismoothness ,the global superlinear con- vergence of the smoothing Newton method was proved.

在半光滑假设条件下，证明了光滑化牛顿法具有全局超线性收敛性。

The image relation between classical theory and reality is premised on the philosophical base of modern natural science study.

以牛顿力学为核心的近代自然科学研究的哲学基础预设了经典理论与实在之间的镜像关系。这种关系蕴含了两个基本假设：其一，科学理论的可靠性与实在性假设；其二，科学方法与科学仪器的有效性与客观性假设。

In the first chapter, we used the method of majoring sequences to studied the convergences of Newton s methods of " reducing the counting of derivative" and "without inversing of derivative under weak conditions".

在第一章中，用优序列方法研究了减少导映照计值次数和避免导映照求逆的牛顿迭代在弱条件下的收敛性。

In chapter 4, the plane-radial and plane-parallel flows for Newtonian fluid in fractal porous media are analyzed. Based on the same assumption as that in chapter 3, the expressions for porosity, flow rate, velocity and permeability for both radial and parallel flows are developed. The proposed expressions are expressed as a function of tortuosity, fractal dimension, maximum and minimum pore diameters, and there are no empirical constant and every parameter has clear physical meaning in the proposed expressions.

第四部分研究了分形多孔介质中牛顿流体的平面径向和平行流动，考虑到实际毛细管的弯曲性和毛细管管径的分形分布，给出了径向和平行流动时的孔隙数目、孔隙率、流量、流速和渗透率的分形表达式；得到了分形多孔介质中微可压缩流体的压力分布方程；得到了无量纲的渗透率、压力和流速的解析表达式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。