查询词典 modified Newton method

This article uses Quasi-Newton method based on Broyden s principle to obtain Jacobin matrix,this method can calculate Jacobin matrix direc.

文中采用基于Broyden原理的拟牛顿法求解发动机非线性方程组，这种方法可以直接求出第一步迭代后的Jacobi矩阵，从而大幅度提高计算速度。

Symmetric cone complementarity problem; Euclidean Jordan algebra; C-function; Merit function; Hybrid Newton method; Regularized-smoothing method

对称锥互补问题；欧几里得若当代数；互补函数；价值函数；混合牛顿算法；正则光滑化牛顿算法

Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations.

本文解非线性平衡方程式式的数值计算方法是基於牛顿－拉福森(Newton-Raphson)法配合弧长控制法的增量迭代法。

In Chapter 4, using the formula A_k(2) given by Wei, we propose a new A_k(2)-SQP method, which develepments the using of the quasi-Newton formula BFGS, and combines with SQP method to solve constrained optimization problems, the corresponding algorithm possesses global convergence and supei linear convergence property.

第四章，利用韦提出的A_κ(2)公式，我们给出了一种A_κ(2)-SQP方法，该方法把拟牛顿修正公式BFGS进行了推广，并结合SQP方法去解约束优化问题，相应的算法具有全局收敛性和超线性收敛性。

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。

The Newton-Euler method is used to set up a mathematical model for the inverted pendulum, and then a pendulum controller is designed by using an optimal control method in a linear quadratic form.

用牛顿－欧拉方法建立了倒立摆的数学模型，在此基础上采用线性二次型最优控制方法设计了倒立摆的控制器。

Based on utilizing the unified chaotic model to obtain initial points of Newton iteration method, a new method for solving sets of nonlinear equations is proposed.

以统一混沌模型产生牛顿迭代的初始点，提出了基于统一混沌的牛顿迭代法求解非线性方程组的新方法。

We present an inverse method based on Tikhonov regularization theory. A regularized functional is established and regularization parameters are deduced with Arcangeli criterion and Morozov discrepancy principle. The functional is solved by sensitivity coefficients and Newton-Raphson iteration method.

充分考虑非线性瞬态热传导过程测温数据的误差特点，根据Tikhonov正则化理论，构造合适的正则化泛函，利用Arcangeli准则和Morozov偏差原理确定正则参数，采用灵敏度系数和Newton-Raphson迭代法求解该泛函。

A differential iteration solution is presented by combining the features of bidirectional iteration method, Newton′s interpolation formula and direct differential method.

将"双向迭代"、牛顿二次差商以及直接微分等分析手段有效地结合起来，形成一种被称为"微分迭代"的波导方程解析方法。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。