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Puthermore,we make a comparison between its optimum spectral radius and that of SOR method and draw a conclusion that these two methods have their own advantages respectively under different conditions.

除了对迭代方法的研究和改进，对方程组本身做某些处理，如对它进行预条件也是有效改善迭代收敛性，加快迭代收敛速度的方法之一。

The results not only is that problem of estimates of upper bounds of the spectral radius for some iteration matrices is solved but also convenient for apply.

解决了以往讨论迭代矩阵谱半径的估值问题，且使用方便。

In chapter 3, based on the relationship between the minimal eigenvalue and the spectral radius of non-negative matrices, we derive some others upper and lower bounds on irreducible M-matrices.

第三章利用M矩阵的最小特征值与非负矩阵谱半径之间的关系，给出了不可约M矩阵最小特征值上下界的几个估计式。

The Laplacian matrix of G is the difference of degree matrix of G and the adjacent matrix of G, And the Laplacian spectral radius of a graph is the maximum eigenvalue of the Laplacian matrix of G.

图G的拉普拉斯矩阵为图G的度矩阵和它的邻接矩阵之差，而图G的拉普拉斯谱半径为图G的拉普拉斯矩阵绝对值最大的特征值。

The provided PCRR also satisfies the well-known relationship between free spectral range and ring radius R of traditional micro-strip ring resonators.

运用经典的微环自由光谱范围FSR和微环半径R的关系，证实新型的光子晶体微环腔也满足该关系。

For example,,,where .2.Convergence of the iterative method: firstly I give a new upper bound for the spectral radius of iterative matrix , where is a double strictly diagonal dominant matrix.

迭代法的收敛性分析：首先给出了一般迭代阵谱半径新的上界估计，其中矩阵为双严格对角占优矩阵，是一种比严格对角占优更广泛的矩阵类。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

The effect of spherical aberration on the radius of image beam waist in the design of laser optical system is discussed in detail,and the expression is presented.

在光学系统的设计部分，详细论述了光学系统的设计过程，最终列出了两种满足系统要求的设计结果。

The influence of the pump power and laser beam radius on the spherical aberration coefficient is discussed.

实验验证了球差效应对激光谐振腔中基模光束质量的影响，与理论分析符合得很好。

Four factors likely to influencing soil adhesion were considered, and every factor includes three levels. The four factors were the height h, radius r, spacing d and distribution of spherical cap σ.

以球冠高度h、球冠底面圆半径r、球冠间距d、球冠分布形态σ为试验因素，采用L9（34）正交试验测试了土壤黏附力。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。