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A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统,为消除非经典阻尼项给求解带来的困难,通过引入矩阵函数变换消除了原系统的阻尼条件项,将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

Kronecker product ; Generalized inverses of a matrix ; Matrix equation

Kronecker积;矩阵的广义逆;矩阵方程

Results reveal that the spatial correlation properties of MIMO channel are dependent on the PAS, the antenna pattern and the geometric configuration of the array. When the PASs at the base station and the mobile station are independent, the spatial correlation matrix of the MIMO channel is the Kronecker product of the spatial correlation matrix at the BS and the MS. The temporal correlation properties of the MIMO channel are determined by the PAS at the MS, antenna pattern and the traveling speed of the MS. Based on the analysis of the physical essence, the temporal correlation properties are equivalent to the spatial correlation properties at the MS. The joint spatio-temporal correlation properties at the BS and the MS are quite different. When the PASs at the BS and the MS are independent, the spatial correlation at the BS is independent on the temporal correlation, but this is not true for the spatial correlation at the MS.

分析与计算的结果表明,MIMO信道的空间相关特性由角度谱、阵元的方向图、阵元间距以及阵列几何结构决定,并且当发射端与接收端的空间统计特性相互独立时,MIMO信道的空间相关矩阵可以表示为发射阵列空间相关矩阵与接收阵列空间相关矩阵的Kronecker乘积:信道的时间相关仅与MS端的角度谱、阵元方向图以及MS的运动速度有关,通过对信道时间相关的物理本质的研究,说明了时间相关与MS端空间相关的等价性;MIMO信道的空-时联合相关特性在BS端和MS端具有不同的特点,当发射端与接收端的空间统计特性相互独立时,BS端的空间相关与时间相关是独立的,而由于信道的时间相关与MS端的空间相关具有相同的物理本质,MS端的空间相关与时间相关不是独立的。

Moreover, it is closely related to the crystal structures of reinforcement and matrix alloy. The formation of above crystallographic relationships is valuable to decrease the energy of lattice strain between reinforcement and matrix alloy.

与增强体的晶体结构及基体合金的晶体结构密切相关,形成该位相关系有利于降低增强体与基体合金界面的晶格畸变能。

Thenwe stressed the interval question of the previous research and extended theresearch of fuzzy matrix to the research of lattice matrix.

然后针对中外学者研究成果中区间问题,把模糊矩阵幂序列的研究推广到格矩阵上。

The results presented could be regarded as the development of the previ-ous research on fuzzy matrix.And the convergence problem is basically resolvedfor lattice matrix applying to the fields of nerve network.

本文建立的有关结果可以视为对以往关于模糊矩阵幂序列的收敛性的研究成果的发展,为格矩阵应用于神经网络等领域解决了收敛性问题。

The formation of martensite is accomplished by the immigration of well-defined glissile interface (121)fcc type and its misfit dislocations can produce the lattice invariant deformation on the basis of phenomenal theory of martensitic crystallography, however, LID is retarded slightly after the migration of interphase (121)fcc, i.e.a thin plate-like zone exists without LID in martensite near the well-defined interface. When the temperature reduces to the Ms point, the lattice parameter of austenite matrix is √3/2 times that of the martensite without LID. This critical condition for spontaneous transformation agrees with that the stack fault energy in matrix is less than zero according to Olson and Cohen's nucleation model.

通过模型分析表明:fcc/bcc马氏体形核与长大过程是通过(121)fcc型择优界面推移进行的,界面上的错配位错可以完成马氏体晶体学唯象理论要求的点阵不变变形,但LID要稍滞后于界面迁移,即在马氏体形核与长大过程中推移界面新相一侧存在一未发生LID的新相薄区;当相变温度达到马氏体相变点Ms时,母相奥氏体与这一薄区的晶格常数比为√3/2,这一几何条件和Olson-Cohen形核模型中要求扩展位错层错区界面能γ≤0是等价的。

In terms of order of industrial development, this thesis uses industrial engineering theory, establishes relevant coefficient matrix of leading industry choosing criterion and correlative effect matrix, calculates leading industry of Hebei province.

在工业行业发展序列的选择上,运用工业工程理论,建立主导产业选择基准相关系数矩阵和关联效应矩阵,测算比选出河北省工业主导产业。

OD estimation was divided into fixed steps, with every step containing a bi-level programming. The upper-level problem was a generalized least squares estimator, while the lower level problem was a stochastic user equilibrium model. Namely, based on generalized least squares estimator and stochastic user equilibrium, a new estimator of the OD matrix was proposed by target matrix and traffic counts updating.

将OD估计分为固定的步数,每一步都是一个双层规划,上层为广义最小二乘估计,下层为随机用户均衡分配模型,即以广义最小二乘估计和随机用户均衡分配模型为基础,通过更新估计模型中目标矩阵和实测路段上的流量来估计OD矩阵。

The third aspect: we consider comparison of Minimum Norm Quadratic Unbiased Estimator and ordinary least squares estimator of in the multivariate normal linear model Y ~ N{XB, V, where the design matrix A' need not have full rank and the dispersion matrix V can be singular.

使用的损失函数有二次损失函数、嫡损失函数和对称损失函数。论文基于以下三个准则:二次损失风险准则、嫡损失风险准则和对称损失风险准则,将MINQUE和LSE进行比较。

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