查询词典 factor matrix

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时，该快速算法求出线性方程组的唯一解；当鳞状因子循环矩阵奇异时，该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

Some basic properties of σ- LFSR over F4 are studied, such as nonlinearity, cycle structure distribution of state graph, the largest period and counting problem related. The conclusions are as follows:The coefficient ring of σ-LFSR is isomorphic to the matrix ring over F,. The cycle structure of σ- LFSR is consistent with that of the determinant of the corresponding polynomial matrix if and only if the feedback polynomial of - LFSR does not contain nontrivial factor over F2,. The counting formula of the number of σ- LFSR with inconsistent cycle structure is also showed in that part. The period of σ-LFSR with degree n is maximum if and only if the determinant of the corresponding polynomial matrix is the primitive polynomial with order 2n over F2,.

本文研究了有限域F_4上的σ-LFSR的一些基本性质，如非奇异性、状态图的圈结构的分布、最大圈的充要条件及相关的计数问题等，得到以下结论：σ-LFSR的系数环同构于F_2上的矩阵环；σ-LFSR的状态图的圈结构与对应的多项式矩阵的行列式的圈结构一致的充要条件为σ-LFSR的反馈多项式不含有非平凡的F_2上的因式，给出了圈结构不一致的σ-LFSR的计数公式； n次σ-LFSR周期达到最大，当且仅当对应多项式矩阵的行列式为F_2上的2n次本原多项式。

In chapter four of this paper, based on the theory of chapter two, by applying the oblique elementary of matrix or the second oblique elementary of matrix, the algorithm for solving the greatest common factor is presented. Thus the solving of the greatest common factor becomes fast simple and practical.

在第四章中，以第二章作为理论基础，提供了分别依据第一斜消法、第二斜消法求解最大公因式的算法实现过程(具体为算法1、算法2)，实现了最大公因式求解的计算机编程处理，使多项式组的最大公因式的求解变得快速、简便、实用。

In this algorithm scheme, the multiplication of inverse matrix and a matrix is executed by the matrix triangular factor decomposition and back-substitution for the solution.

该算法保留了原方程组系数矩阵的稀疏存储方式和稀疏矩阵的运算规则，减少了计算时间和运算过程所需要的存储空间。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

The transfer matrix method is used to carry out the vibration characteristic analysis of the fluid-filled piping system. The transfer matrix of the axial, transversal and torsion vibration of the fluid-filled straight pipe element is presented. And the transfer matrix of the elbow is derived according to the discrete model of the inextensible theory of the curve pipe. The effect of the flexural factor on the elbow's transfer matrix is studied.

基于充液直管的梁模型，考虑液体与管道之间的泊松耦合，详细推导了充液直管单元的轴向、横向及扭转振动传递矩阵；采用弯管不延伸理论的离散模型，将变管离散为一组首尾相连，并成一定角度的短直管单元，通过建立弯管处力平衡方程与连续性方程，建立了弯管平面内振动的传递矩阵，并研究了弯曲因子对传递矩阵的影响。

So, this thesis studied the intermediary banking business based on the background of the development of ICBC. Through using plenty of investigation combining much detailed data adopting the qualitative analysis and the quantitative analysis.using some knowledge of manage, we analyzed the general environment and by using Bauds five power model we thoroughly analyzed and forecasted the industry environment that influence the intermediary banking business development. Last we evaluated the external environment by using the exterior factor evaluation matrix; in the same way we evaluated the internal environment by using he interior factor evaluation matrix and BCG matrix drawing.

因此，本文以中国工商银行中间业务发展为背景，在充分调查研究的基础上，结合大量详实的数据，采用定性分析与定量分析相结合的方式，结合管理学的相关理论，分析了中间业务发展所面临的一般环境，运用波特的五种力量模型对工商银行中间业务发展所面临的行业环境进行了详细的分析和预测，并运用外部因素评价矩阵对外部环境进行了评价；同样地，运用BCG矩阵图和内部因素评价矩阵对内部环境因素进行了评价。

This article first introduces the basic situation of Cisco, Then qualitatively analyzed the external environment, market status, interior resource and ability of Cisco. By establishing External Factor Evaluation Matrix and Internal Factor Evaluation Matrix, the article quantitatively analyzed Ciscos external factors and internal factors. By applying the method of SWOT , this article concludes the strength, weakness of the company and also the opportunities and threat faced by.

文章介绍了思科公司的基本情况，运用企业战略管理理论对思科公司的外部环境、市场状况以及内部资源和能力进行了定性分析，然后建立内部因素评价矩阵和外部因素评价矩阵，用SWOT分析法找出企业发展的优势和劣势，机会和挑战。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了