查询词典 Newton

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题，利用所构造价值函数具有的特殊非线性最小二乘结构，成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

In this paper,we study convergence theories of this inexact Newton method .

分析了求解对称特征值问题的不精确Newton法，给出了相应的收敛性定理，并证明了在适当的条件下，不精确Newton法超线性收敛。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

And it is proved to be more efficient than Newton method from the theorectical of view.

另一方面，将Newton-PCG算法应用于求解单和函数优化问题，利用单和函数优化问题的特殊性，进一步开发Newton-PCG技术建立了更有效的特殊算法。

At present, many effective iterations are all derived from Newton method.

Newton法是求解非线性方程的一个最基本而且十分重要的迭代方法，目前使用的很多有效的迭代法，都是以Newton法为基础，并由它而得到的。

This make it difficult to know the essence of fluidized beds. In order to viewthe motion behavior of a single particle in a fluidized bed in a reasonable cost, thegas-solid flow in a fluidized bed is modeled by a combined approach of discrete particlemethod and computational fluid dynamics, in which the motion ofindividual Particles is obtained by solving Newton\'s second law of motion and gas flowby the Navier-Stokes equation based on the concept of local average.

为了用数值模拟方法来弥补传统实验方法的不足，达到从单个颗粒的尺度上来研究流化床中颗粒的运动和气体流场的剧烈变化情况的目的，本论文建立了基于用Newton第二定律计算单个颗粒运动轨迹的离散颗粒法和基于区域平均值的计算流体动力学方法的数学模型的建立和求解过程；并依据Newton第三定律建立了DPM模型和CFD模型的耦合模型，编写和调试了DPM和CFD的耦合程序。

Based on it, a new efficient implementation of preconditioned conjugate gradient is put forward to solve the Gauss-Newton equation and save the cost on computation with the same exactly quadratic convergence to the traditional choleski factorization.

新算法与传统的使用Choleski技术的Gauss-Newton法具有相同的收敛速率，但在求解 Gauss-Newton方程组时减少了代数运算的计算量。

On the convergence of Newton's method in Banach space〓 Let F be an operator mapping from a real or complex Banach space X to another one Y, the Newton iteration 〓(2) is used to find the approximative solution of the equation (1), where the derivative is meant in the Frechet sense.

一、Banach空间中Newton法的收敛性〓设F是由实的或复的Banach空间X到同型空间Y的算子，求解方程(1)的Newton迭代为〓，0，1…，(2)其中的导数指的是在Frechet意义下的。

In this paper, a new class of memoryless non-quasi-Newton method for solving unconstrained optimization problems is proposed, and the global convergence of this method with inexact line search is proved.

本文导出了一类无记忆非拟 Newton 公式，并证明了采用非精确线搜索的无记忆非拟 Newton算法的全局收敛性。

The existence and convergence theorem of Newton method and quasi Newton method solving nonlinear equation with parameters F = 0 is obtained under point estimates and weak conditions.

在点估计条件下给出用Newton法及拟Newton法求解带参数非线性方程F = 0解的存在性定理和收敛性定理，以及误差估计。

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。