矩阵代数

In the given algorithm, a matrix is first transformed into its Hessenberg form by using row- and column-transformation and the characteristic polynomial can be then determined by means of the formulas and a recursive algorithm given in this paper.

例如，在确定系统矩阵的规范形，在用代数方法判别系统的稳定性，在控制器和观测器的设计等时，就通常需要计算矩阵的特征多项式。

In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理，并在此基础上对矩阵指数函数e的连分式算法进行改进，最后用数值例子来验证其可行性。

Generalized strictly diagonally dominant matrix play an important role in numerical algebra 、control theory 、electric system、economic mathematics and elastic dynamics and so on.

广义严格对角占优矩阵具有很广的实际背景，这类特殊矩阵在数值代数、控制论、电力系统理论、经济数学及弹性力学等众多领域中有着重要的实用价值。

Linear algebra of matrix inversion, the use of this algorithm can...

线性代数中的矩阵求逆的问题，使用此算法可以简化矩阵的操作。

Linear algebra of matrix inversion, the use of this algorithm can be simplified matrix operation.

详细说明：线性代数中的矩阵求逆的问题，使用此算法可以简化矩阵的操作。

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究，特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

In the fifth part, the H〓 control problem for Lur'e systems with multiple nonlinearities is discussed. The existence is reduced to solvability of multiple linear matrix inequalities. And the design method is simple and feasible via iterative optimal algorithm based on the interior-point method of LMI.

第五部分：研究了具有多个非线性环节的Lur'e系统的H〓控制问题，给出了基于双线性代数矩阵不等式的可解条件，此结果可覆盖关于线性系统相应问题的结论，同时又避免了目前在非线性系统H〓控制的研究中出现的偏微分矩阵不等式难以求解的问题。

About linear algebra and matrix of history, the understanding of linear algebra and matrix of people, there is a certain reference value.

讲述线性代数与矩阵的历史，对了解线性代数和矩阵的人来说，有一定的参考意义。

The theory of graphs and relations between the spectra and fixed variate (e.g. chromatic number, degree sequence, diameter and connectivity) of graphs by means of the well-developed theory and technique of algebra, topological structure properties of graph, combination and matrix theories so as to establish firm essential relation between the algebraic properties and topological properties of graphs and networks.

图谱理论的研究主要是利用成熟的代数理论和技巧，并结合图的拓扑结构性质和组合数学的理论、矩阵理论来研究图谱及其与图的结构性质、图的其它不变量(如色数，度序列，直径，连通度等)之间的关系，将图与网络的代数性质与图的拓扑性质紧密地联系在—起。

It is the first time to give the formulae of non diagonal matrix elements of tensor operator s which can be employed to describe the ro vibrational interaction for linear tetratomic molecules.

利用Lie代数方法研究了四原子分子振转相互作用，在代数框架内首次给出四原子分子振转相互作用的张量算子非对角矩阵元的表达式，利用这些表达式对线型四原子分子HCCF振转相互作用的l doubling进行了计

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。