查询词典 matrices

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

A continuous interval argument OWG operator is introduced and applied, together with C-OWA operator, to transforming the incomplete uncertain judgment matrices into the expected value complementary judgment matrices. Then, a method for group decision making with various types of incomplete judgment matrices is developed.

利用连续区间数据有序加权平均子和C-OWG算子等转化途径把不同类型的残缺不确定判断矩阵均一致化为残缺期望值互补判断矩阵，进而提出一种基于不同类型残缺判断矩阵的群决策方法。

Some necesarry and sufficient coditions for generalized diagonal dominance for matrices are discussed by using the determinant and the closed convex cone generated by matrices column vectors. This paper, thus provides some new methoods for determining the generalized diagonal dominance in matrices.

利用矩阵的列向量所生成的闭凸锥及矩阵的行列式来讨论其行广义对角占优的若干充要条件，为判别矩阵是否为广义对角占优提供若干新方法。

This paper will put the concept of definiting generalized positive definite matrices in Paper[1, 4] into the further extensions, discuss the inclusion relation betweenness generalized positive definite matrices in all the different definitions, and give four new definitions on an equality with M-Matrices.

摘要将文[1，4]中定义广义正定矩阵的概念再作推广，并讨论各种不同定义下的广义正定矩阵间的包含关系，给出M-矩阵等价的四种新定义。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

In this paper, we study a class of inverse M-matrices and inverse Z-matrices of tree structure, which have much value in application and theory and matrices associated with the original matrices, for exmple Schur complements, Perron complements, ect.

第二章主要研究一类树结构逆M、逆Z矩阵，图的理论和方法被应用于矩阵结构和性质的研究，图的理论和矩阵理论有着密切的关系，并且图理论用于矩阵的研究有着直观、简洁的特点，二者的研究具有互补的关系，用图的理论和方法研究矩阵一直是矩阵理论研究的一个重要方向。

In this chapter, we show that Perron complements of N_0~2-matrices are N_0~2-matrices. We also demonstrate the Perron complements of inverse N_0~1-matrices are inverse N_0~1-matrices with certain restriction.

第四章研究非严格广义双对角占优矩阵的Schur余的性质，对角占优矩阵是数值计算中经常遇到的一类矩阵，它的Schur余可应用于迭代法的构造。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

Chapter 2 is devoted to the discussion of the synchronization of coupled dynamical systems with the external coupling matrices being n × n irreducible circulant real matrices having zero row sum and nonnegative off-diagonal elements and internal coupling matrices being m × m symmetric positive definite matrices.

在第二章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实循环不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶对称正定矩阵时耦合系统的同步问题。

And three main steps of all subspace algorithms are explored. First, using an LQ-decomposition, the projection of the row space of specific data Hankel matrices is calculated. Next, the SV-decomposition of the projection is calculated to directly lead to the observability matrices and a Kalman filter estimation of the state sequences. Last, the system matrices are extracted from the observability matrices and/or the estimated state sequences.

概括了子空间辨识算法的三个主要运算步骤：首先由LQ分解计算特定Hankel矩阵的行空间投影；再对该投影进行SVD，获取系统的可观测矩阵及状态序列的Kalman滤波器估计；最后由可观测矩阵和／或估计的状态序列确定系统矩阵。

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。