查询词典 iterative method for eigenvalue problems

With the aid of the adjoint relationship of symplectic ortho-normalization and integral transformation, solutions of duality equations were obtained, or Saint-Venant solutions and local solutions, reducing the original problem to finding zero eigenvalue solutions and non-zero eigenvalue solutions.

利用辛正交归一关系和积分变换得到了对偶方程的解，即圣维南解和局部解，从而将原问题转化为寻找零本征值本征解和非零本征值本征解问题。

Symmetric tridiagonal matrix; Jacobi matrix; Eigenvalue problem; Inverse eigenvalue problem; Spring-Mass system; inverse problem in vibration; double dimension; Laplace equation

基础科学，数学，代数、数论、组合理论对称三对角矩阵； Jacobi矩阵；特征值问题；特征值反问题；弹簧-质点系统；振动反问题；双倍维； Laplace方程

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

To find some useful eigenvalue in time series by mining the distributing values of original series, and deduce a collection of candidate slide-window size, find the optimal slide window size by adapting to the series eigenvalue variable motion movement.

通过对时序特征值分布函数挖掘，发现时间序列中的有效特征点，进而确定一组合适的滑动窗口宽度；最后根据序列的变化情况来决定最优的滑动窗口宽度，对原数据维度进行简约。

Under the condition of knowing zero eigenvalue algebraic multiplication ,the authors have discussed the use and necessary relationship between matrix zero eigenvalue algebraic multiplication and matrix rank.

在已知零特征值代数重数时，给出了矩阵零特征值代数重数与矩阵秩之间的内在必然联系，及其一般应用。

After picking up eigenvalue, it is proved that the result is unanimous basically with the data of the relevant materials; The other is to control artificial hand by the eigenvalue of the myoelectric signal and at last the system gets very good control results.

利用电路设计的相关知识对控制电路进行了设计，并取得了很好的控制效果。

With the increase of vibration frequency, the variation process of Jacobi matrix eigenvalue was calculated. According to the position of eigenvalue crossing the unit circle in the complex plane, the stability of fixed point of the map was discussed and the route from periodic motion to chaos via period-doubling bifurcation was received.

以振动频率为控制参数，计算得到映射Jacobi矩阵特征值的变化曲线，根据其穿越复平面单位圆的位置，分析了映射不动点的稳定性，获得了碰撞运动通过典型的倍周期分岔通向混沌的过程。

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。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。