查询词典 newton method

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。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

However, so far, thereis no theory about the convergence rate of the filter method.

众所周知，Newton法在一定的条件下具有二阶收敛性。

In this paper, a decision method as well as the proof for existence of vector-valued rational interpolants are given, and the expression of the rational interpolants' numerator and denominator are given.

这里利用标量有理插值函数插值存在性的思想，引入Newton基函数，给出并证明了向量值有理插值存在性的一种判别方法。

Aimed at the problem of choosing the initial value when the Newton method is used to compute the controlling unstable equilibrium point, a practical and rigorous solving scheme was presented: by identifying the controlling load bus of the given fault, and using the Thevenin equivalent circuit to represent the rest of the system at the state of the post disturbance stable equilibrium point, using the steady equivalent circuit to represent the induction motor in composite load, and then using the torque characteristics of induction motor, a point near the CUEP is gained to be the initial value. The second order normal forms was used to approximate the stable manifold of CUEP, and the local approximating boundary of the region of attraction of the post disturbance stable equilibrium point was gained. Then just by simulating the state of the system at the fault clearing time, the transient voltage stability of the system could be determined.

针对采用牛顿法求取故障后系统主导不稳定平衡点(controlling unstable equilibrium point，CUEP)存在的初值选取难题，提出一种实用但不失严谨的解决方案：通过识别给定故障的主导负荷母线，对主导负荷母线以外系统由故障后稳定平衡点处的状态进行戴维南等值，对负荷中感应电动机部分采用其稳态等值电路，再由感应电动机的转矩特性求得CUEP附近的一个点作为近似的CUEP，以此为迭代初值可靠求得CUEP；采用二阶正规型来近似CUEP的稳定流形的方法求得近似的局部吸引域边界；由仿真得到故障清除时刻系统的状态并根据该状态是否位于吸引域内判断系统的暂态电压稳定性。

Polak's result is as strong as any of the contemporaneous global convergence results for either steepest descent or a globalized quasi-Newton method.

Polak的结果和同时期的任何最速下降或全局拟牛顿法的结果一样强。

In this paper,a new global optimizing algorithm that combines the modified Quasi-Newton method and the improved genetic algorithm is proposed to find the global minimum of the total error function of a fuzzy neural network.

本文给出了一种将改进的拟牛顿算法与具有新型交配方式和可变变异概率的遗传算法相结合的全局寻优算法，用以搜索模糊神经网络误差函数的全局最小点。

Newtonian fluid; helical flow; eccentric annulus; pressure gradient; undetermined coefficient method

Newton 流体；螺旋流动；偏心环空；压力梯度；待定系数法

The results on existence and uniqueness of solution for the problem (1)-(3) are obtained by using of a variational method and an integral equation approach respectively.

还研究了特殊情形时的洞穴重构问题，给出了重构洞穴边界的正则化Newton方法，不仅对此做了理论分析而且成功的进行了数值模拟。

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。