查询词典 iterative method for eigenvalue problems

Nonsingular H-matrix; generalized H-matrix; eigenvalue; numerical radius; matrix splitting; saddle point problem; Krylov subspace method; preconditioning technique

基础科学，数学，代数、数论、组合理论非奇H-矩阵；广义H-矩阵；特征值；数值半径；矩阵分裂；鞍点问题； Krylov子空间法；预处理技术

This paper mainly im- proved the secant method t on eigenvalue of transfer matrix.

将求传递矩阵特征值的割线法进行改进，使得计算结果的误差变得较小，计算结果的可靠性增强。

The method is applied to evaluating the comprehensive safety of the high rock slope on the left spandrel groove of Jinping I hydropower project. It is obtained that the grade eigenvalue is 4.001 and safety grade is IV which means that the comprehensive safety grade of the high rock slope is between hyper-stability and stability.

将该方法应用于锦屏一级水电站左肩槽岩石高边坡的整体安全评价，经计算得出该边坡整体安全综合评价的级别特征值为4.001，安全等级为IV级，介于稳定与极稳定之间。

The feasibility and validity of the method have been proved by the examples of statical analysis, stability problem, dynamical eigenvalue calculation, and dynamical response analysis.

文中将这一方法成功地应用于随机结构的静力学分析、稳定性问题、动力特征值求解和动力响应分析之中，对随机梁、板结构编制了静力分析计算通用程序，证明了此法的正确性、有效性。

In this paper, we consider the following computing method of tridiagonal matrix:(1) decoupling of linear equation;(2) determination of determinant and eigenvalue-eigenvector relation;(3) matrix inversion.

二引宫在数值计算中，有许多问题足后归结为三对角矩阵的计算涸此研究它们的计算方法是有意义的。此外，有些三对角阵的计算方法可以做为带状阵计算的借鉴。

In chapter Ⅰ, a historial review of structure control is given; In chapter Ⅱ, A discussion of the controllability and observablity of flexible structures is given, Two kinds of controllability and observablity index are defined, and applied to actuator allocation; chapter Ⅲ considers the reduction of high order flexible structure mode; the content of chapter Ⅳ is about the basic problem of distributed parameter control system design. It is proved that a stable controllor in mode space may be unstable in real use in distributed paramater systems, also, by closed loop mode concept, a pole assignment method of flexible structure controllor design is given; chapter Ⅴ is about the low-authority controllor design, it is pointed out by use of high order eigenvalue/eigenvector perturbation, a better controllor can be designed; chapter Ⅳ considers flexible structure reduced order control; chapter Ⅶ disscusses the basic problem of flexible structure computer control, analyses discreate controllablity and observablity and its computing, the sample period and coefficient wordlength; chapter Ⅷ is on the problem of low flexibility compensation; chapter Ⅸ is a design example.

在第一章简要回顾了挠性结构控制的历史，并且指出控制中的一些问题；第二章讨论了挠性结构的能控性与能观性，定义了两类能控性程度和能观性程度指标，还将能控性程度概念应用于执行器位置的确定；第三章论述了高阶模型的降价问题，比较了适于挠性结构模型降阶的方法，指出其适用范围；第四章内容是分布参数系统设计的基本问题，首先证明在模态空间中设计的稳定的控制器在实际分布系统上可能是不稳定的，进而根据闭环模态的概念，获得挠性结构控制器设计的极点配置方法；第五章的内容是关于低权控制器的设计问题，指出利用特征值高价摄动和特征向量的摄动，可以设计出更加完善的低权控制器；第六章讨论挠性结构降阶控制问题；第七章讨论挠性结构计算机控制的基本问题，分析了时间离散化模型的能控性和能观性及其计算问题，讨论了采样周期选择和系数字长问题；第八章讨论低挠性结构的补偿问题；第九章的设计例子用来说明第二章和第四章的结果。

Based on the relationship the restarted selective reorthogonalization Arnoldi method for the gyroscopic eigenvalue problem was formulated and implemented.

以此为基础形成了具有迭代特点的减缩式求解方法，即重起动的选择性重正交陀螺Arnoldi法。

The perturbational reanalysis method of repeated eigenvalues and associated eigenvectors of the lineargeneralized eigenvalue problem is further investigated on the basis of the relevant results of previous stud-ies.

本文基于已有研究结果，进一步探讨了线性广义特征值问题的重特征值及其特征向量摄动重分析理论和方法，阐述了重特征值情形下摄动重分析方法的一些重要特点，完善了重特征值的特征向量的二阶摄动算式，并论证了重特征值摄动法与相异特征值摄动法之间的统一性。

Moreover, Arnoldi method was also applied to the generalized unsymmetric eigenvalue problem, which arised from the applying of BEM to the free vibration problem of elasticity.

此外，将Arnoldi法应用于由边界元法得到的非对称广义特征值问题，给出了这类特征值问题有效的减缩式求解方法。

The transforms introduced in this dissertation make it possible use eigenvalue method to investigate the generation of internal tides over finite topographies.

坐标变换将倾斜地形变换到了平底，同时也改变了强迫源强度的分布特征，使得变换之后强迫源强度的分布与原始分布有很大的不同。

The two-acre Dunbar Community Garden in Little Rock has served as a model for several years.

几年来，坐落于小石城，占地两英亩的邓巴社区菜园树立了一个标杆。

Jerry points to the jacket hanging in the bathroom. It's ruined, and unwearable What?

杰瑞指着洗手间里挂着的夹克，毁了，不能穿了）什么？