In addition, this paper also discusses the positive definiteness of the element stiffness matrix and some practical techniques of solution algorithm of generalized eigenvalue problems. 文中还讨论了所得单元刚度矩阵的正定性以及广义特征值求解算法的实施技术。
The dynamic design of vibration system is considered as an inverse problem for nonlinear generalized eigenvalue in this paper. 振动系统动力学设计被抽象为高维广义非线性特征值反问题。
Generalized Eigenvalue Problem of Discrete System 离散振动系统中的广义特征值问题
Following from the results of sensitivity analysis of standard eigenvalue problems, the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved, and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained. 以标准特征值问题灵敏度分析的有关结论为基础,证明了单参数非对称广义特征值问题半单重特征值的可微性,给出了特征值导数的表达式和特征向量的级数展开式。
On computing symmetric generalized eigenvalue problem 关于对称广义特征值问题的计算
Perturbational iteration method of linear generalized eigenvalue problem 线性广义特征值问题的摄动迭代法
The half numerical method converts differential equation into generalized eigenvalue equation. 用半数值的方法把微分方程转化成广义本征值方程。
The generalized eigenvalue problem is a crucial problem for structural dynamic calculations. 广义特征值问题是结构动力分析计算的关键之一。
Analysis of Neural Network Method for Solving the Generalized Eigenvalue Problem 广义特征根问题求解的神经网络方法分析
A simplified method is developed for numerical analysis of the generalized eigenvalue equation with an additional mass matrix. 在实际工程中常常遇到具有附加质量矩阵的广义特征值问题,本文介绍一个求解这一问题的简捷计算方法。
This paper presents a kind of inverse generalized eigenvalue problem for real symmetric band matrix, and gives a proof to the existence of the solution to the problem for Jacobi and ordinary symmetric matrices. 本文提出了一个实对称带状矩阵的广义特征值反问题,并且证明了对于Jacobi矩阵和一般对称矩阵,问题的存在性。
In this paper we introduce mainly our work on parallel processing for nonsymmetric matrix generalized eigenvalue problem. 介绍作者等人近几年来在非对称广义特征值问题并行处理方面的一些工作。
This paper studies inverse design problem of generalized eigenvalue problem of linear parameter discrete vibration system. 本文研究了具有线性参数的离散振动系统广义特征值逆设计问题。
Generally, the continuous structure is lumped as a discrete system with multi-degree-of-freedom and analysed by means of matrix method. The stiffness matrix and mass matrix are established according to the Lagrange equation for conservative systems and the generalized eigenvalue problem is solved. 一般用结构矩阵分析理论将连续弹性体系作为多自由度的体系,根据保守系统的拉格朗日方程,建立结构刚度矩阵和质量矩阵,求解广义特征值问题。
Some solutions of parallel processing for generalized eigenvalue problem are present in the paper. 本文介绍了解决非对称广义特征值问题并行处理方面的解决方法&并行同伦算法。
A generalized Jacobi method for complex symmetric generalized eigenvalue problem 复对称广义特征值问题的广义Jacobi算法
The boundary element method is applied to solve the three dimensional boundary value problem. The differential equations are transformed to a generalized eigenvalue problem to be solved. 运用边界元方法求解了重力场中部分充液偏置贮箱内液体晃动的三维边值问题,并将系统运动的联立微分方程组交换后化为广义特征值问题来求解。
Region-Preserving Determinant Search Method for Solving the Generalized Eigenvalue Problem of Band Symmetric Matrices 求解对称带状矩阵广义特征值问题的保域行列式查找法
The Inverse Generalized Eigenvalue Problems of α-Circulant Matrices and Its Approximation to Compound Matrix α&循环阵的广义特征值反问题及其对复矩阵的逼近
Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite. 最后得到一个矩阵型的位移广义本征值方程,刚度矩阵对称、正定。
Finally, the numerical analysis was completed after the solution of generalized eigenvalue problem. 最后通过求解广义特征值问题完成了平面二维区域的数值分析。
Massively Parallel Processing system ( MPP) and PC cluster provide distributed-memory environments for parallel solving the generalized eigenvalue problem. 大规模并行处理系统(MPP)和PC机群为并行求解矩阵广义特征值问题提供了分布式存储环境。
Matrix Perturbation Method in Modal Coordinate System for Linearly Generalized Eigenvalue Problem 线性特征值问题在模态坐标系中的矩阵摄动法
Generalized eigenvalue is one of the basic problems in the finite element dynamic calculation. 广义特征值问题是有限元动力学计算的基本问题之一。
Inverse generalized eigenvalue problem in dynamic design of symmetric structures 对称结构动力学设计中的广义逆特征值问题
Parallel computation for the nonsymmetric generalized eigenvalue problem is one of the fundamental problems in large scale engineering computation. 非对称矩阵广义特征值问题的并行计算是大规模工程计算中的基础问题之一。
Generalized eigenvalue problem of matrix pair is an active research task. 矩阵广义特征值问题是当前迅速发展的计算机科学和数值代数中的一个非常活跃的研究课题。
For the former, generalized eigenvalue problem and standard eigenvalue problem are studied according to the parameter dependence of stiffness and mass matrices. 对于前者,根据结构整体刚度矩阵和质量矩阵的参数相关特性分别提出了基于标准特征值问题和基于广义特征值问题的快速求解方法。
This paper presents a new approach to the evaluation of sensitivity or condition of generalized eigenvalue and singular value problems based on the method of statistical condition estimation by Kenney and Laub. 本文基于Kenney和Laub的统计条件数估计方法提出了关于广义特征值和奇异值问题条件数求解的新方法。
We develop an effective algorithm to solve the pseudo-inverse generalized eigenvalue problem via using a matrix diagonalization technique, which can diagonalize three matrices simultaneously. 通过利用同时对角化三个矩阵的技术,我们得到了一种求解包含伪逆的广义特征值问题的有效算法。