查询词典 iterative method for eigenvalue problems

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

Finally, using a new iterative method, a variant of Kaniel-Shinbrot iterative method, we prove the existence and uniqueness of eternal solution to Boltzmann equation for the hard interactions and rigid spheres model.

最后，本文利用一种新的迭代方法(有别于Kaniel-Shinbrot迭代)在硬位势和硬球模型情形下证明了Boltzmann方程永久型解的存在唯一性。

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

Aimed at the calculation complexity of Newton iterative method for solving nonlinear equation,a new iterative method with higher convergence rate and without derivative calculation is presented in this paper.Its convergence rate p is 1.839 and it doesn't need to calculate derivative.

为解决Newton迭代法求非线性方程数值解时必须提供一阶导数值的问题，提出了一个新的迭代方法，该方法不需提供导数值而只需计算函数值，且具有p=1.839的收敛阶，因而是一个收敛速度快且不需要计算导数值的迭代方法。

We also adopt the iterative method to study the matrix nearness problem associated with these inconsistent matrix equations systematically in this dissertation, and characterize the minimization property of this iterative method by making use of the matrix function in subspace for the first time, which is the important improvement for the achievements of references.

本文还采用迭代方法系统地研究了问题Ⅰ，并首次利用子空间上的矩阵函数来刻画该迭代方法的极小化性质，这是对已有研究成果的重要补充和完善。

Contrasting with the conventional iterative methods, the new method needed no iterative computation and had better computation efficiency. it seemed more suitable for high interactivity and real-time applications such as motion editing. examples show the efficiency of the new method.

同传统的迭代方法相比，该方法省却了繁琐的迭代计算，具有更高的求解效率，可以应用于角色动作、运动轨迹的设计、编辑及优化等交互性强和实时性要求高的应用中。

In the program the Newton-Raphson's method is used to iterative computation; and the method of either the cylinder-arc-length or the minimum residual displacement is adopted to control the iterative process.

在分析非线性静力和动力有限元计算方法的基础上，本文采用修正的Newton-Raphson方法进行迭代计算，并采用柱面弧长法和最小残余位移法控制迭代过程，编制了一个适合于杆件体系结构的有限元分析程序，结构可以按桁架、刚架或梁杆组合体系分析。

We discuss the iterative method and give the advantage and shortcoming of the iterative method.

主要讨论目前已有的解线性方程组迭代方法的优点及缺点。

We introduce the iterative method of Jacobi type to solve the discrete problem of the quasivariational inequality system. A new proof for the monotone convergence of the iterative method is given under appropriate conditions.

我们首先介绍求解Hamilton-Jacobi-Bellman方程的近似拟变分不等式组离散问题的一类Jacobi型迭代算法，在一定假设条件下，对这类算法的单调收敛性给出了一个新的证明。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质，并证明了由该迭代方法计算出来的逼近解，可使得这类矩阵函数在一个仿射子空间上达到极小，而且所得到的残差序列的Frobenius范数是严格单调递减的。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。