研究一类特征值问题及其应用。
研究一类特征值问题及其应用。
研究了一类椭圆型算子的特征值问题。
Eigenvalue problem of a class of elliptic operators is studied.
最后，浅谈了矩阵逆特征值问题的应用。
Finally, we simply talk about the application and development of inverse eigenvalue problem.
本文主要讨论了两类结构矩阵的逆特征值问题。
In this paper, two kinds of structure inverse eigenvalue problems are discussed.
其中包括计算矩阵的特征值问题，误差问题等。
Including the calculation of matrix eigenvalue problem, error and so on.
特征值问题的计算方法是科学计算基本论题之一。
The calculation of eigenvalue problem is one of the basic topics of scientific computing.
本文讨论了七类结构酉矩阵特征值问题的向后误差。
In this paper, backward errors for seven kinds of structured unitary matrix eigenvalue problems are discussed.
本文对求工程特征值问题的矩阵反迭代法作了改进。
New algorithm of matrix inverse iteration on the eigenvalue problem are presented in this paper.
介绍了对称矩阵的两特征值问题，并给出了计算公式。
Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix.
利用矩阵的极分解，导出了逆特征值问题的最佳逼近解。
The optimal approximate solution of this inverse eigenvalue problem also was given by means of the polar decomposition of matrices.
利用一种新的方法来研究具随机刚度梁结构的重特征值问题。
A new random finite element method for solving repeated eigenvalues problems involving beams' structures with stochastic stiffness was proposed.
提出了一种用于对称区间矩阵特征值问题求解的直接优化法。
A direct optimization method is presented in the paper for solving eigen problems of interval matrices.
结构矩阵在很多领域出现，结构矩阵特征值问题有着非常广泛的应用。
Structured matrices occur in many scientific and engineering applications, and structured matrix eigenvalue problems are widely used.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
然后由叠加原理将环扇形板的自由振动问题转化为积分方程特征值问题；
Then the eigenvalue problem of free vibration of annular sector plates is transformed into the eigenvalue problem of integral equation by using superposition theorem.
本文将多边形离散技术引入网络模型分解法中，用来求解波导特征值问题。
This paper introduces a polygon discretization technique into the network model decomposition method to solve waveguide eigenvalue problems.
提出了一种适合于自适应有限元分析中求解广义特征值问题的多重网格方法。
An effective multi-grid method fit for the adaptive finite element analysis for generalized eigenvalue problems is proposed.
分析了一般粘弹结构特征值问题的特点，建立了一般粘弹结构的模态分析方法。
The characteristics of the eigen value problem of general viscoelastic structure are analyzed and its modal analysis method is put forward in this paper.
本文以现代数学理论为依托，研究了随机结构系统的一般实矩阵的特征值问题。
The eigenvalue problem of general real matrices was researched in random structure system that it is from depending on modern mathematics theories.
从实际工程出发，以现代数学理论为依托，研究了随机结构系统的特征值问题。
The eigenvalue problem is studied for random structure system from the view point of practical engineering on the background of modern mathematics theories.
利用能量范数的导数的性质，将超越特征值问题转化为常微分方程的初值问题。
And by using the property of derivatives of energy norms, the eigenproblem is transformed safely into a specific initial value problem of an ordinary differential equation.
高阶摄动法能解决阻尼系统参数变化较大时的特征值问题，具有较强的实用性。
The high-order perturbation method is very useful because it could solve eigenproblems even if the parameter of the damped has a great change.
由于火焰传播问题是特征值问题，本文采用固定燃烧器内某一点温度的方法求解。
Because this problem is an eigenvalue problem the thesis USES the method of fixing the temperature at one point to solve it.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
本文探讨了用附加已知质量的方法求解有阻尼质量弹簧系统逆特征值问题的可能性。
The purpose of this paper is finding out an approach to solve inverse eigenvalue problems of damped mass-spring system by attaching known masses.
文摘：分析了一般粘弹结构特征值问题的特点，建立了一般粘弹结构的模态分析方法。
Abstract: the characteristics of the eigenvalue problem of general viscoelastic structure are analyzed and its modal analysis method is put forward in this paper.
本文探讨了用附加已知质量的方法求解无阻尼质量弹簧系统的逆特征值问题的可能性。
The purpose of this paper is to find out an approach of inverse eigenvalue problems of undamped mass-spring system by using an attached lump of known mass.
用同伦方法分析了可分解映射的零点存在性，并获得它对一类非线性特征值问题的应用。
Using homotopy methods, this paper gives an analysis on the existence of zeros of the decomposable mapping, and finds its application to a class of nonlinear eigenvalue problems.
用规范变换的方法，导出了位势依赖于能量的特征值问题的规范变换及相应的贝克隆变换。
By using the method of the gauge transformation, this paper obtains the gauge transformation of Eigenvalue problems of energy dependent potentials and the Backlund transformation.
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