查询词典 augmented matrices

In the method, the symmetric positive semidefinite matrices are updated to approximate the Hessian matrices of the elemental objective functions and their sum to approximate the Hessian matrix of the objective function.

算法用对称半正定矩阵作为元素目标函数的Hessian阵的近似，使得其和仍然保持目标函数的Hessian阵的某种稀疏性。

First, attribute value matrices are transformed into fuzzy relationship matrices according to the theory of fuzzy mathematics,and then by combining the fuzzy relationship matrix with hungarian method an assignment problem with multiobject is proposed in this paper.

运用模糊数学的思想，首先将各目标下的属性值矩阵转化为模糊关系矩阵，再将模糊关系合成矩阵与解决传统指派问题的匈牙利法相结合，提出一种求解多目标指派问题的综合方法：模糊匈牙利法，并结合优化潜艇兵力配置问题进行了应用分析。

They form usually a ring, but some fields may be composed of three matrices aI+bA, aI+cB, aI+dC, and of some special 2-order, even n-order matrices. It is a new type of hypercomplex number fields.

它们一般组成环，但3种矩阵aI+bA，aI+cB，aI+dC及某些特殊的二阶甚至高阶矩阵可以组成域，这是一类新的超复数系。

Finally, by studying on using saw blades with different matrices cutting different stones, a basic compatibility rule about matrices and stones was concluded, say, when cutting a hard, high quartz and high alkalifeldspar content and strong bonded stone, a high impact strength and low wear-resistance matrix should be chosen; otherwise, when cutting a soft, low quartz or no quartz content and weak bonded stone, a high bending strength, low impact strength and high wear-resistance matrix should be chosen.

最后，通过对不同性能结合剂的锯片切割不同石材的切削寿命和磨损状态分析，得出了锯片结合剂性能与岩石性质之间的一般性匹配原则：即对于坚硬的、高石英含量的花岗岩，宜选用高强度、高冲击韧性、低耐磨性和对金刚石具有良好粘结性能的结合剂；对于低硬度、无石英或低石英含量的易切削花岗岩，宜选用高强度、高耐磨性和低冲击韧性的结合剂。

The eigenvalues of circulant matrices compose of the discrete Fourier transform of the first line, on the contrary, the elements of the first line can recovered from the Fourier inversion formula, all circulant matrices have the same eigenvector that with the same order.

循环矩阵的特征值由其第一行元素的离散傅里叶变换组成，并且第一行元素是特征值的傅里叶变换的逆，而且所有同阶循环矩阵的特征向量相同。

Compared with the other image projection analysis methods, the proposed method has the following properties:（ 1 ） the scattering matrices are directly based on image matrices;（2） the efficient projection vectors are statistically uncorrelated;（3） the within scattering matrix is not necessarily invertible and some matrix inversions are not performed.

在ORL标准人脸库和NUST603人脸库上的试验结果表明，上述图像投影鉴别分析方法在识别性能上较以往的方法有一定的提高，尤其是特征抽取的速度有明显的提高。

Firstly, we discuss the characterization of eigenprojections at zero of thegeneralized Drazin invertible operator on Banach space. By using the techniqueof block operator matrices, we extend the results that the characterization of eigen-projections at zero of matrices to operators in B.

中文摘要我们首先讨论了广义Drazin可逆算子在0点的特征投影的刻画，利用算子矩阵分快的技巧将关于矩阵在0点特征投影的刻画的一些结果推广到了Banach空间上。

N[1] and[2], the classification theory of indices set of irreducible nonnegative matrices isstudied,according to that theory . An algorithm for the period and the classification of indices setof irreducible nonnegative matrices are given. Using this algorithm.

文［1］和［2］讨论了不可约非负矩阵指标集的分类理论，在此基础上，本文给出了不可约非负矩阵的周期与指标集的分类算法，这一算法能同时求出周期与同余类，当矩阵的阶不大时，该算法容易在图上实现。

After the iterative formulas of 6 ordering Walsh matrices are deduced by Kronecker product, the computer images of these matrices are illustrated.

通过分析和比较各种序的计算机图像，得出类Walsh序更适合作为Walsh序的逆反形式的猜想。

Firstly, the connection matrices are strongly connected Boolean matrix, it is shown that the maximum length of limit cycles for FBAM is the period index of the product of the connection matrices. Thus, the maximum limit cycle is reachable. Secondly, two strongly connected components are connected by walks, it is proved that the maximum length of limit cycles for FBAM is the max. of the period index of the two strongly connected components if they are prime, otherwise, it is the least common multiple of the two period index. Finally, n strongly connected component are connected in succession, the method for computing the maximum length is described. By different patterns are presented to the networks, diminishing the number of the strongly connected components until only two components.

第一，连接权矩阵为强连通布尔矩阵，此时模糊双向联想记忆网络的最大极限环长度为连接权矩阵乘积的周期指数，从而极限环具有可达性；第二，两个强连通分支有路径连接，此时如果两个强连通分支的周期指数互素，那么网络的最大极限环长度为其最大者，否则，网络的最大极限环长度就等于二者的最小公倍数；第三，n个相邻强连通分支有路径连接，给出了计算最大极限环长度的方法，通过激发模式的变化，逐渐减少强连通分支的个数，直到只有两个分支。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。