特征值

Then, under a certain condition, the estimate for bounds of the module of eigenvalues of M^(-1)N is presented when M is a α- strictly diagonally dominant matrix.

并以此为基础，在一定条件下给出了当M是α-严格对角占优矩阵时的M^(-1)N的特征值模的上下界估计。

Then, under a certain condition, the estimate for bounds of the module of eigenvalues of is presented when is a NM1MNM1Mαstrictly diagonally dominant matrix.

并以此为基础，在一定条件下给出了当是MNM1Mα严格对角占优矩阵时的的特征值模的上下界估计。

Examples illustrate that some special properties of the diagonally dominant matrix with chain of non-zero elements probably doesn't come into existence for quasi diagonally dominant matrix with chain of non-zero elements.

譬如目前关于拟对角占优矩阵的判定定理就有数十条之多[6-7]，至今仍有许多相关结论发表，其中杨志明[1]给出了拟具非零元素链对角占优矩阵的定义，并就这类矩阵的特征值的分布情况进行了讨论。

The highlighted skin regions are compensated based on the dichromatic reflection model.

一方面降低了算法复杂度，另一方面又可以在序贯主分量分析中提出特征值比值，迅速而准确地自动检测是否有皮肤高光区域的存在，同时还可以鲁棒地确定皮肤双色反射矢量，应用双色反射模型进行肤色高光区域的辐射校正。

We prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.

变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性。

If the operator's spectrum is discrete, the observable can only attain those discrete eigenvalues.

假如操作者光谱是发散的，可见仅能获得那些离散特征值。

A finite element incremental weighted iteration method, which can avoid divergency and speed up the convergence process,was proposed to solve the problems of tubing buckling in deviated wells.

建立了直井中有重钻柱非线性屈曲平衡方程及相应的泛函表达式，构造了一种能避免发散并加速收敛的有限元增量加权迭代法求解斜直井中钻柱屈曲问题，首次采用直接求解非线性特征值的方法来分析钻柱屈曲问题。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

The calculation of eigenvalue problem is one of the basic topics of scientific computing.

特征值问题的计算方法是科学计算基本论题之一。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。