查询词典 kronecker product

Since the linear systems involving Kronecker product and multiple right-hands are widely applied in many areas, we shall investigate the condition numbers for these linear systems: In chapter 1 we briefly review the background of linear systems and numerical algorithms for solving them. We also introduce the source of condition numbers.

由于带Kronecker积和带多右端项的线性方程组在很多领域得到了广泛的应用，因此本文对这类方程组的条件数进行了研究：在第一章中我们简单回顾了线性方程组问题的研究背景和数值求解方法，并介绍了条件数问题的来源。

Kronecker product ; Generalized inverses of a matrix ; Matrix equation

Kronecker积；矩阵的广义逆；矩阵方程

Taking Kronecker product as an example, we furthermore illustrate applied potentialities of the generative set of mapping in fabic ...

并从实用出发，扩展了数模中的映射生成集，使其覆盖了组织设计中常用的变化手段，且以Kronecker积为例，说明数模映射生成集在组织CAD中的应用潜力。

It is shown that how through the Kronecker product the model-calibration approach can be used to estimate bilinear parameters, in particular, to estimate variances and covariances.

通过Kronecker积，可把模型校正方法用于估计双线性参数，特别地，去估计方差和协方差。

In chapter 2 we make perturbation analysis for the two kinds of nonsingular systems AX=B and systems with multiple right hands involving Kronecker product, and derive normwise , mixed and componentwise condition numbers and their upper bounds respectively.

在第二章中我们对两类非奇异线性方程组AX=B和带Kronecker积的多右端系统进行了扰动分析，并应用矩阵导数得到范数型，混合型和分量型这三种条件数及其上界。

In order to conquer this difficulty, we suggest a naive estimating method of moment based on matrix algorithms Kronecker tensor product, vec and mathematical expectation.

主要推导工具是矩阵中Kronecker乘积，矩阵拉直运算以及数学期望。

For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

For single-layer fabric, weaves are re-grouped for the purpose of mathematical description, and they fall into three groups: regular weaves, pre-regular weaves and irregular weaves. And then the mathematical models of every group are established, the parameters and the qualifications of weaves automatic generation are offered too. For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

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。

According to the special structure of the coefficient matrix arising from the SUPG discretization of convection-diffusion problem, or the MAC discretization of the Oseen problem, we use Kronecker product approximation to design the preconditioner.

第一章讨论预条件技术，针对对流扩散问题和 Oseen 问题离散后系数矩阵所具有的特殊结构，用近似 Kronecker 积构造预条件子。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新