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特征值问题 的英文翻译、例句

特征值问题

词组短语
eigenvalue problem
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In this paper, the asymptotic estimations of initial value solution are obtained for an eigenvalue problem with three-point boundary conditions by use of the iterate method.

本文运用叠代法,先得到一个带三点边条件特征值问题初值解,并构造了一个整函数ω,其零点集合与带三点边条件特征值问题的特征值集合重合。

In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式环境下计算对称带状广义特征值问题的一种扩展分治算法,给出了特征值分割定理及其证明算法在扩展分治的基础上,利用二分压缩结合广义Rayleigh商迭代计算广义特征对理论分析和数值实验表明,对于窄带宽大规模的广义特征值问题,该分治算法明显优于LAPACK软件包结合并行性好的多分法,在分布式环境下获得了很好的并行效果1 引言本文研究了对称带状广义特征值问题Ax =λBx ( 1)的并行计算,其中,A ,B均为半带宽为r的n阶实对称带状矩阵且其中之一是正定的本文总假设B是正定的求解此问题有两种传统方法,第1种方法是通过计算矩阵B的Cholesky分解,将问题( 1)转化为标准特征值问题[1~3] ,进一步

Owing to its cyclic symmetry the complex constraint method for the eigenproblems of cyclic symmetric structure is applied to calculating the eigenpairs of the helical gear structure.

根据齿轮结构的循环对称性,以仅含有一个完整轮齿的扇形子结构作为齿轮有限元计算模型,用计算循环对称结构特征值问题的复约束方法,通过求解一个扇形子结构的特征值问题得到整个齿轮结构的特征值和特征向量。

Based on the concept of secondary eigenvalue and secondary eigenvector, the author gives the model for the inverse problem of secondary eigenvalue of the matrix, discusses the inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

在第三章中,本文对矩阵的一类逆特征值问题进行了研究,针对次特征值、次特征向量概念,提供了矩阵的逆次特征值问题模型,讨论了一类线性流形上次反对称矩阵的逆次特征值问题

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先,讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题,并借此特征值问题的第一特征值性质,利用山路引理及Trudinger-Moser不等式,证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性;其次,利用广义环绕定理,Trudinger-Moser不等式及集中列紧原理,得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

And the sufficient and necessary conditions are obtained and the uniqueness of T is discussed and an algorithm for solving the inverse problem is provided. The other kind of structure inverse eigenvalue problem is for unitary Hessenberg matrices with positive subdiagonal elements. That is, a unitary Hessenberg matrices with positive sub-diagonal elements can be constructed when its eigenvalues and the eigenvalues of H_(11) and H_(22) are known. Here H_(11) and H_(22) are rank-one modifications of k × k leading principal submatrix of H and of its × remain submatrix respectively. In the end, the uniqueness of H and an algorithm is obtained.

文中首先讨论了这三组特征值之间的交错关系,接着确定了该逆问题有解的充要条件,并论证了其解的唯一性问题,最后给出了相应的数值算法;本文第二个问题解决的是一类不可约的酉Hessenberg阵的逆特征值问题:即一个不可约的酉Hessenberg阵可以由它的特征值、它的前k阶秩一修正的顺序主子阵的特征值以及它的后n—k阶余子阵的秩一修正阵的特征值来确定,文中最后讨论了唯一性和相应的算法。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先给出的是一类Jacobi阵的逆特征值问题,即给定三组实数:一组是Jacobi阵的n个特征值,一组是只修改了最后一个对角元的它的前k阶顺序主子阵的特征值,最后一组是修改了第一个对角元的后n—k阶余子阵的特征值,用这些给定的特征值来确定相应的Jacobi矩阵。

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。

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。以所得结论为基础,定义了广义特征值问题半单重特征值的灵敏度,给出了确定矩阵对中敏感元素的方法

Secondly,we improved the related inclusion region for it,which is based on the eigenvalue inclusion region theories such as Gerschgorin theory and ovals of Cassini theory.

其次,基于齐次特征值问题诸如Gerschgorin圆盘定理及Cassini卵形域等特征值包含定理,我们对于矩阵非齐次特征值问题的包含域问题做了一些相应的讨论。

更多网络解释与特征值问题相关的网络解释 [注:此内容来源于网络,仅供参考]

eigenvalue problem:特征值问题

最优特征值:dominance eigenvalue | 特征值问题:eigenvalue problem | 逆特征值:Inverse eigenvalue

Elliptic eigenvalue problem:椭圆特征值问题

椭圆型人工边界:elliptic artificial boundary | 椭圆特征值问题:Elliptic eigenvalue problem | 椭圆共振问题:elliptic resonant problem

inverse eigenvalue problem:逆特征值问题

矩阵反问题:Inverse problem of matrices | 逆特征值问题:inverse eigenvalue problem | 导热反问题:Inverse Heat Conduction Problem

inverse eigenvalue problem:矩阵逆特征值问题

自适应逆控制:Adaptive inverse control | 矩阵逆特征值问题:Inverse eigenvalue problem | 偏微分方程反问题:Inverse problem of partial differential equations

hess Hessenberg:型

% polyeig - 多项式特征值问题. | % hess - Hessenberg 型 | % qz - 广义特征值的QZ 分解 .

Inverse Eingen value Problems:特征值反问题

数值代数及其应用 Numerical Algebra and Its Applications | 特征值反问题 Inverse Eingen value Problems | 现代微分方程数值解 Numerical Solutions of Modern Differential Equations

Inverse Eigen value Problems:特征值反问题

数值代数及其应用 Numerical Algebra and Its Applications | 特征值反问题 Inverse Eigen value Problems | 现代微分方程数值解 Numerical Solutions of Modern Differential Equations

generalized inverse characterize value problems of matrices:广义逆特征值问题

矩阵广义逆特征值问题:generalized inverse eigenvalue problems... | 广义逆特征值问题:generalized inverse characterize value problems of matrices | 抽象广义矢量平衡问题:Abstract generalized vector equilib...

rosser:典型对于称特征值实验问题

pascal Pascal 矩阵 | rosser 典型对于称特征值实验问题 | toeplitz Toeplitz 矩阵

eigenvalues:计算矩阵的特征值

EigenConditionNumbers 计算数值特征值制约问题的特征值或特征向量的条件数 | Eigenvalues 计算矩阵的特征值 | Eigenvectors 计算矩阵的特征向量