牛顿法

Conjugate gradient method, the use of Newton's law or the use of parabolic interpolation.

共轭梯度法，使用牛顿法或者使用抛物线插值法。

Continuation power-flow is an effective method to analyse static voltage stability.

连续潮流法是分析静态电压稳定行之有效的方法，但它是基于极坐标形式牛顿法潮流的，计算量很大。

This thesis builds optimal model which takes the four-cylinder double-acting Stirling engine model as objective function and takes actual conditions as constraints, and use quasi-Newton method and penalty function method to slove this problem.

论文以建立的模型为目标函数、以具体实际情况为约束条件建立了发动机参数最优化模型，应用拟牛顿法和惩罚函数法实现了对最优化模型的求解。

We analyse and compare the traditional timemarching method, the fixed point iteration method, Chan, Chan and Zhou proposed such an approach using the Newton method combined with continuation and the primal-dual method.

本文对传统的时间依赖方法，不动点迭代法，原始对偶方法，Zhou，Zhou和Chan提出的牛顿法与延拓法相结合的方法进行了比较分析。

At the same time, the mix fixed point method and the nonsmooth Newton method for finite element method are also presentedBased on the Gauss point method for seepage problem with free surface, the non-smooth equations model for seepage problem is proposed as well as the mix fixed point method which belongs to the fixed mesh method.

本文根据近些年来求解可动边界的经验和非光滑分析的发展，建立了求解渗流自由面的数学模型，提出了求解渗流自由面的有限元混合不动点法和非光滑牛顿法。

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

Firstly, the function sinx that appears in the simple pendulum equation is replaced with a polynomial of degree 3 using Maclaurin series expansion and Chebyshev polynomial approximation. Subsequently, the resulting equation which is a Duffing type equation is approximately solved with combing Newton's method and the harmonic balance method.

首先，利用Maclaurin展开和Chebyshev多项式加速技术将单摆振动方程中的正弦型恢复力用三次多项式近似代替，得到一个Duffing型方程；然后，将牛顿法与谐波平衡法结合起来建立Duffing方程的解析逼近周期及周期解，从而给出单摆振动的解析逼近解。

As the Jacobi Matrix of Fast One-Step Newton Error Reconstructor algorithm can be calculated previously t, the same imaging speed as back-projection algorithm can be made. The study results show that the FNOSER algorithm can obtain static image with a character of high space resolution, accurate orientation, fast imaging, and so on.

2基于牛顿法的一步误差重构算法对静态电阻抗成像技术进行了详细研究，推导出FNOSER 静态算法，快速牛顿一步误差重构算法其雅可比矩阵等可以事先计算好，从而可以获得和反投影算法类似的成像速度。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程，具有其所有的良好性质，而且比一般的分裂拟牛顿法节省存储空间，减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

Conjugate gradient method, the use of Newtons law or the use of parabolic interpolation.

共轭梯度法，使用牛顿法或者使用抛物线插值法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。