查询词典 eigenvalue problem

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。

The characteristic, difference and relation of the normal and inverse design are compared detailedly. The formula of the first and second class eigen sensitivity are given. For the horizotal vibration system of building structure, the sensitivity method and perturbation method are adopted to modify the dynamic characteristics. The inverse eigenvalue problem of Jacobi matrix and the positive, symmetry, band matrix are studied. The method of Evolutionany Computation is first used in the inverse design of building structure, the principal problems are studied. The features of aseismatic inverse design of building are analysed.

本文较详细地比较了正、逆设计的特点；给出了特征值和特征向量的一阶和二阶灵敏度分析公式；对于建筑结构水平振动系统，提出了结构动态特征的修改方法；对Jacobi矩阵及实对称带状矩阵的逆特征值问题进行了分析研究，首次将其引入建筑结构抗震逆设计中；首次将进化计算方法应用于建筑结构抗震逆设计中，对主要问题作了探讨；对建筑结构抗震逆设计的特点进行了分析，提出未来的发展方向和前景。

In the paper, we study the existence and eigenvalue problem of p-Laplacian equation with No flux boundary condition in a bounded domainΩ?

中文摘要：本文主要研究了R~N中有界域上p-Laplacian方程在无流边界条件下问题解的存在性及特征值问题。

In particular,the phase function of the disturbance wave system is solved by uting the characteristic theory of partial differential equation and an expan sion of Orr-sommerfeld eigenvalue problem,insteade of using the disturbance model which was given previously.

其特点是。应用偏微分方程特征理论以及O－S方程特征值的展开，求解扰动波的相函数而不是预先给定扰动波的波动形式。

Considering that both the solution of the structure natural vibration frequency and mode as well as its elastic stability coefficient can transform into eigenvalue problem of the structure dynamic equilibrium equation, taking the fundamental frequency and the elastic stability coefficient of the structure as the evaluation criteria, the possible arrangements of Mi-brace and X-brace for halfthrough CFST arch bridge with 360 m span were comparatively analyzed, and the advices for the reasonable space of the Mibrace and the X-brace were advanced.

鉴于结构自振频率、振型及弹性稳定系数的求解均可转化为源自结构动力平衡方程的特征值问题，先以结构基频及弹性稳定系数为衡量标准，对一座360 m跨的中承式钢管混凝土拱桥可能的米字撑及X撑布置方案进行了分析对比，并据此提出了X撑及米字撑的合理间距。

An optimization method is proposed to solve steady-state optimization problems by linear approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行线性逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

An optimization method is proposed to solved steady-state optimization problems by quadratic approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行二次逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

Thisproblem is changed into the matrix approximation problem with matrix inequalities.Further, it is changed into the generalized eigenvalue problem with linear matrix in-equalities. In addition linear state feedback controller is designed.

先将最优控制问题转化为具有矩阵不等式约束的矩阵逼近问题，又转化为具有线性矩阵不等式约束的矩阵广义特征值最小化问题，从而设计了相应系统的线性状态反馈控制器。

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。

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。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。